1
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Guo F, Wu J, Yang Z, Li K, Zhang L. Penetration of linear chains into semiflexible knotted rings in linear-ring blends. POLYMER 2022. [DOI: 10.1016/j.polymer.2022.125248] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/15/2022]
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2
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Kobayashi K, Yamazaki S, Kimura K. Formation of shish-like fibril crystals from the melt of blends of cyclic and linear polyethylene under shear flow. Polym J 2022. [DOI: 10.1038/s41428-022-00643-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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3
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Mo J, Wang J, Wang Z, Lu Y, An L. Size and Dynamics of a Tracer Ring Polymer Embedded in a Linear Polymer Chain Melt Matrix. Macromolecules 2022. [DOI: 10.1021/acs.macromol.1c02388] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jiangyang Mo
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
- University of Science and Technology of China, Hefei 230026, P.R. China
| | - Jian Wang
- College of Chemistry and Chemical Engineering, Cangzhou Normal University, Cangzhou 061001, P.R. China
| | - Zhenhua Wang
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
| | - Yuyuan Lu
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
- University of Science and Technology of China, Hefei 230026, P.R. China
| | - Lijia An
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
- University of Science and Technology of China, Hefei 230026, P.R. China
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4
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Kong D, Banik S, San Francisco MJ, Lee M, Robertson Anderson RM, Schroeder CM, McKenna GB. Rheology of Entangled Solutions of Ring–Linear DNA Blends. Macromolecules 2022. [DOI: 10.1021/acs.macromol.1c01672] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Affiliation(s)
- Dejie Kong
- Department of Chemical Engineering, Texas Tech University, Lubbock, Texas 79409, United States
| | - Sourya Banik
- Department of Chemical Engineering, Texas Tech University, Lubbock, Texas 79409, United States
| | | | - Megan Lee
- Department of Physics and Biophysics, University of San Diego, San Diego, California 92110, United States
| | - Rae M. Robertson Anderson
- Department of Physics and Biophysics, University of San Diego, San Diego, California 92110, United States
| | - Charles M. Schroeder
- Department of Materials Science and Engineering and the Department of Chemical & Biomolecular Engineering, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Gregory B. McKenna
- Department of Chemical Engineering, Texas Tech University, Lubbock, Texas 79409, United States
- Department of Chemical and Biomolecular Engineering, North Carolina State University, Raleigh, North Carolina 27695, United States
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5
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Local Effects of Ring Topology Observed in Polymer Conformation and Dynamics by Neutron Scattering-A Review. Polymers (Basel) 2020; 12:polym12091884. [PMID: 32825628 PMCID: PMC7563567 DOI: 10.3390/polym12091884] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/31/2020] [Revised: 08/14/2020] [Accepted: 08/17/2020] [Indexed: 11/24/2022] Open
Abstract
The physical properties of polymers depend on a range of both structural and chemical parameters, and in particular, on molecular topology. Apparently simple changes such as joining chains at a point to form stars or simply joining the two ends to form a ring can profoundly alter molecular conformation and dynamics, and hence properties. Cyclic polymers, as they do not have free ends, represent the simplest model system where reptation is completely suppressed. As a consequence, there exists a considerable literature and several reviews focused on high molecular weight cyclics where long range dynamics described by the reptation model comes into play. However, this is only one area of interest. Consideration of the conformation and dynamics of rings and chains, and of their mixtures, over molecular weights ranging from tens of repeat units up to and beyond the onset of entanglements and in both solution and melts has provided a rich literature for theory and simulation. Experimental work, particularly neutron scattering, has been limited by the difficulty of synthesizing well-characterized ring samples, and deuterated analogues. Here in the context of the broader literature we review investigations of local conformation and dynamics of linear and cyclic polymers, concentrating on poly(dimethyl siloxane) (PDMS) and covering a wide range of generally less high molar masses. Experimental data from small angle neutron scattering (SANS) and quasi-elastic neutron scattering (QENS), including Neutron Spin Echo (NSE), are compared to theory and computational predictions.
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6
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7
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Rosa A, Smrek J, Turner MS, Michieletto D. Threading-Induced Dynamical Transition in Tadpole-Shaped Polymers. ACS Macro Lett 2020; 9:743-748. [PMID: 33828901 PMCID: PMC8016395 DOI: 10.1021/acsmacrolett.0c00197] [Citation(s) in RCA: 21] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/07/2020] [Accepted: 04/30/2020] [Indexed: 01/06/2023]
Abstract
The relationship between polymer topology and bulk rheology remains a key question in soft matter physics. Architecture-specific constraints (or threadings) are thought to control the dynamics of ring polymers in ring-linear blends, which thus affects the viscosity to range between that of the pure rings and a value larger, but still comparable to, that of the pure linear melt. Here we consider qualitatively different systems of linear and ring polymers, fused together in "chimeric" architectures. The simplest example of this family is a "tadpole"-shaped polymer, a single ring fused to the end of a single linear chain. We show that polymers with this architecture display a threading-induced dynamical transition that substantially slows chain relaxation. Our findings shed light on how threadings control dynamics and may inform design principles for chimeric polymers with topologically tunable bulk rheological properties.
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Affiliation(s)
- Angelo Rosa
- SISSA (Scuola Internazionale Superiore di Studi Avanzati), Via Bonomea 265, 34136 Trieste, Italy
| | - Jan Smrek
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
| | - Matthew S Turner
- Department of Physics and Centre for Complexity Science, University of Warwick, Coventry CV4 7AL, United Kingdom
- Department of Chemical Engineering, Kyoto University, Kyoto 606-8501, Japan
| | - Davide Michieletto
- School of Physics and Astronomy, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, United Kingdom
- MRC Human Genetics Unit, Institute of Genetics and Molecular Medicine, University of Edinburgh, Edinburgh EH4 2XU, United Kingdom
- Department of Mathematical Sciences, University of Bath, North Rd, Bath BA2 7AY, United Kingdom
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8
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Zhou X, Wu J, Zhang L. Ordered aggregation of semiflexible ring-linear blends in ellipsoidal confinement. POLYMER 2020. [DOI: 10.1016/j.polymer.2020.122494] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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9
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Katsarou AF, Tsamopoulos AJ, Tsalikis DG, Mavrantzas VG. Dynamic Heterogeneity in Ring-Linear Polymer Blends. Polymers (Basel) 2020; 12:E752. [PMID: 32235530 PMCID: PMC7240694 DOI: 10.3390/polym12040752] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/07/2020] [Revised: 03/15/2020] [Accepted: 03/18/2020] [Indexed: 11/16/2022] Open
Abstract
We present results from a direct statistical analysis of long molecular dynamics (MD) trajectories for the orientational relaxation of individual ring molecules in blends with equivalent linear chains. Our analysis reveals a very broad distribution of ring relaxation times whose width increases with increasing ring/linear molecular length and increasing concentration of the blend in linear chains. Dynamic heterogeneity is also observed in the pure ring melts but to a lesser extent. The enhanced degree of dynamic heterogeneity in the blends arises from the substantial increase in the intrinsic timescales of a large subpopulation of ring molecules due to their involvement in strong threading events with a certain population of the linear chains present in the blend. Our analysis suggests that the relaxation dynamics of the rings are controlled by the different states of their threading by linear chains. Unthreaded or singly-threaded rings exhibit terminal relaxation very similar to that in their own melt, but multiply-threaded rings relax much slower due to the long lifetimes of the corresponding topological interactions. By further analyzing the MD data for ring molecule terminal relaxation in terms of the sum of simple exponential functions we have been able to quantify the characteristic relaxation times of the corresponding mechanisms contributing to ring relaxation both in their pure melts and in the blends, and their relative importance. The extra contribution due to ring-linear threadings in the blends becomes immediately apparent through such an analysis.
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Affiliation(s)
- Anna F. Katsarou
- Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK;
| | - Alexandros J. Tsamopoulos
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA;
| | - Dimitrios G. Tsalikis
- Department of Chemical Engineering, University of Patras and FORTH-ICE/HT, GR 26504 Patras, Greece
| | - Vlasis G. Mavrantzas
- Department of Chemical Engineering, University of Patras and FORTH-ICE/HT, GR 26504 Patras, Greece
- Particle Technology Laboratory, Department of Mechanical and Process Engineering, ETH Zürich, CH-8092 Zürich, Switzerland
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10
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Tsalikis DG, Mavrantzas VG. Size and Diffusivity of Polymer Rings in Linear Polymer Matrices: The Key Role of Threading Events. Macromolecules 2020. [DOI: 10.1021/acs.macromol.9b02099] [Citation(s) in RCA: 20] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Affiliation(s)
- Dimitrios G. Tsalikis
- Department of Chemical Engineering, University of Patras and FORTH-ICE/HT, GR 26504 Patras, Greece
| | - Vlasis G. Mavrantzas
- Department of Chemical Engineering, University of Patras and FORTH-ICE/HT, GR 26504 Patras, Greece
- Particle Technology Laboratory, Department of Mechanical and Process Engineering, ETH Zürich, CH-8092 Zürich, Switzerland
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11
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Peddireddy KR, Lee M, Zhou Y, Adalbert S, Anderson S, Schroeder CM, Robertson-Anderson RM. Unexpected entanglement dynamics in semidilute blends of supercoiled and ring DNA. SOFT MATTER 2020; 16:152-161. [PMID: 31774103 DOI: 10.1039/c9sm01767d] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Blends of polymers of different topologies, such as ring and supercoiled, naturally occur in biology and often exhibit emergent viscoelastic properties coveted in industry. However, due to their complexity, along with the difficulty of producing polymers of different topologies, the dynamics of topological polymer blends remains poorly understood. We address this void by using both passive and active microrheology to characterize the linear and nonlinear rheological properties of blends of relaxed circular and supercoiled DNA. We characterize the dynamics as we vary the concentration from below the overlap concentration c* to above (0.5c* to 2c*). Surprisingly, despite working at the dilute-semidilute crossover, entanglement dynamics, such as elastic plateaus and multiple relaxation modes, emerge. Finally, blends exhibit an unexpected sustained elastic response to nonlinear strains not previously observed even in well-entangled linear polymer solutions.
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Affiliation(s)
- Karthik R Peddireddy
- Department of Physics and Biophysics, University of San Diego, 5998 Alcala Park, San Diego, CA 92110, USA.
| | - Megan Lee
- Department of Physics and Biophysics, University of San Diego, 5998 Alcala Park, San Diego, CA 92110, USA.
| | - Yuecheng Zhou
- Department of Materials Science and Engineering, Beckman Institute for Advanced Science and Technology & Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
| | - Serenity Adalbert
- Department of Physics and Biophysics, University of San Diego, 5998 Alcala Park, San Diego, CA 92110, USA.
| | - Sylas Anderson
- Department of Physics and Biophysics, University of San Diego, 5998 Alcala Park, San Diego, CA 92110, USA.
| | - Charles M Schroeder
- Department of Materials Science and Engineering, Beckman Institute for Advanced Science and Technology & Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
| | - Rae M Robertson-Anderson
- Department of Physics and Biophysics, University of San Diego, 5998 Alcala Park, San Diego, CA 92110, USA.
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12
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Zhou Y, Hsiao KW, Regan KE, Kong D, McKenna GB, Robertson-Anderson RM, Schroeder CM. Effect of molecular architecture on ring polymer dynamics in semidilute linear polymer solutions. Nat Commun 2019; 10:1753. [PMID: 30988290 PMCID: PMC6465312 DOI: 10.1038/s41467-019-09627-7] [Citation(s) in RCA: 41] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/27/2018] [Accepted: 03/11/2019] [Indexed: 11/09/2022] Open
Abstract
Understanding the dynamics of ring polymers is a particularly challenging yet interesting problem in soft materials. Despite recent progress, a complete understanding of the nonequilibrium behavior of ring polymers has not yet been achieved. In this work, we directly observe the flow dynamics of DNA-based rings in semidilute linear polymer solutions using single molecule techniques. Our results reveal strikingly large conformational fluctuations of rings in extensional flow long after the initial transient stretching process has terminated, which is observed even at extremely low concentrations (0.025 c*) of linear polymers in the background solution. The magnitudes and characteristic timescales of ring conformational fluctuations are determined as functions of flow strength and polymer concentration. Our results suggest that ring conformational fluctuations arise due to transient threading of linear polymers through open ring chains stretching in flow.
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Affiliation(s)
- Yuecheng Zhou
- Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA
- Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA
| | - Kai-Wen Hsiao
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA
| | - Kathryn E Regan
- Department of Physics, University of San Diego, San Diego, CA, 92110, USA
| | - Dejie Kong
- Department of Chemical Engineering, Texas Tech University, Lubbock, TX, 79409, USA
| | - Gregory B McKenna
- Department of Chemical Engineering, Texas Tech University, Lubbock, TX, 79409, USA
| | | | - Charles M Schroeder
- Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA.
- Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA.
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA.
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13
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Abadi M, Serag MF, Habuchi S. Entangled polymer dynamics beyond reptation. Nat Commun 2018; 9:5098. [PMID: 30504765 PMCID: PMC6269522 DOI: 10.1038/s41467-018-07546-7] [Citation(s) in RCA: 30] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/22/2018] [Accepted: 11/06/2018] [Indexed: 12/15/2022] Open
Abstract
Macroscopic properties of polymers arise from microscopic entanglement of polymer chains. Entangled polymer dynamics have been described theoretically by time- and space-averaged relaxation modes of single chains occurring at different time and length scales. However, theoretical and experimental studies along this framework provide oversimplified picture of spatiotemporally heterogeneous polymer dynamics. Characterization of entangled polymer dynamics beyond this paradigm requires a method that enables to capture motion and relaxation occurring in real space at different length and time scales. Here we develop new single-molecule characterization platform by combining super-resolution fluorescence imaging and recently developed single-molecule tracking method, cumulative-area tracking, which enables to quantify the chain motion in the length and time scale of nanometres to micrometres and milliseconds to minutes. Using linear and cyclic dsDNA molecules as model systems, our new method reveals chain-position-dependent motion of the entangled linear chains, which is beyond the scope of current theoretical framework.
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Affiliation(s)
- Maram Abadi
- Biological and Environmental Sciences and Engineering Division, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia
| | - Maged F Serag
- Biological and Environmental Sciences and Engineering Division, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia
| | - Satoshi Habuchi
- Biological and Environmental Sciences and Engineering Division, King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia.
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14
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Arrighi V, Gagliardi S, Ganazzoli F, Higgins JS, Raffaini G, Tanchawanich J, Taylor J, Telling MTF. Effect of Chain Length and Topological Constraints on Segmental Relaxation in Cyclic PDMS. Macromolecules 2018. [DOI: 10.1021/acs.macromol.8b00397] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Valeria Arrighi
- Institute of Chemical Sciences, School of Engineering and Physical Science, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Simona Gagliardi
- Institute of Chemical Sciences, School of Engineering and Physical Science, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Fabio Ganazzoli
- Dipartimento di Chimica, Materiali e Ingegneria Chimica “Giulio Natta”, Politecnico di Milano, via L. Mancinelli 7, 20131 Milano, Italy
| | - Julia S. Higgins
- Chemical Engineering Department, Imperial College London, South Kensington
Campus, London SW7 2AZ, United Kingdom
| | - Giuseppina Raffaini
- Dipartimento di Chimica, Materiali e Ingegneria Chimica “Giulio Natta”, Politecnico di Milano, via L. Mancinelli 7, 20131 Milano, Italy
| | - Jeerachada Tanchawanich
- Institute of Chemical Sciences, School of Engineering and Physical Science, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Jenny Taylor
- Institute of Chemical Sciences, School of Engineering and Physical Science, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Mark T. F. Telling
- ISIS, Rutherford
Appleton Laboratory, Chilton, Didcot OX11 OQX, United Kingdom
- Department of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, United Kingdom
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15
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Kruteva M, Allgaier J, Richter D. Direct Observation of Two Distinct Diffusive Modes for Polymer Rings in Linear Polymer Matrices by Pulsed Field Gradient (PFG) NMR. Macromolecules 2017. [DOI: 10.1021/acs.macromol.7b01850] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Margarita Kruteva
- Jülich Centre for
Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Jürgen Allgaier
- Jülich Centre for
Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Dieter Richter
- Jülich Centre for
Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
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16
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Michieletto D, Marenduzzo D, Orlandini E, Turner MS. Ring Polymers: Threadings, Knot Electrophoresis and Topological Glasses. Polymers (Basel) 2017; 9:E349. [PMID: 30971026 PMCID: PMC6418951 DOI: 10.3390/polym9080349] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/05/2017] [Revised: 08/04/2017] [Accepted: 08/05/2017] [Indexed: 01/12/2023] Open
Abstract
Elucidating the physics of a concentrated suspension of ring polymers, or of an ensemble of ring polymers in a complex environment, is an important outstanding question in polymer physics. Many of the characteristic features of these systems arise due to topological interactions between polymers, or between the polymers and the environment, and it is often challenging to describe this quantitatively. Here we review recent research which suggests that a key role is played by inter-ring threadings (or penetrations), which become more abundant as the ring size increases. As we discuss, the physical consequences of such threadings are far-reaching: for instance, they lead to a topologically-driven glassy behaviour of ring polymer melts under pinning perturbations, while they can also account for the shape of experimentally observed patterns in two-dimensional gel electrophoresis of DNA knots.
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Affiliation(s)
- Davide Michieletto
- SUPA, School of Physics and Astronomy, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK.
| | - Davide Marenduzzo
- SUPA, School of Physics and Astronomy, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK.
| | - Enzo Orlandini
- Dipartimento di Fisica e Astronomia, Sezione INFN, Università di Padova, Via Marzolo 8, 35131 Padova, Italy.
| | - Matthew S Turner
- Department of Physics and Centre for Complexity Science, University of Warwick, Coventry CV4 7AL, UK.
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17
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Jeong C, Douglas JF. Relation between Polymer Conformational Structure and Dynamics in Linear and Ring Polyethylene Blends. MACROMOL THEOR SIMUL 2017. [DOI: 10.1002/mats.201700045] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Cheol Jeong
- Materials Science and Engineering Division; National Institute of Standards and Technology; Gaithersburg MD 20899 USA
| | - Jack F. Douglas
- Materials Science and Engineering Division; National Institute of Standards and Technology; Gaithersburg MD 20899 USA
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18
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He Q, Wang SF, Hu R, Akgun B, Tormey C, Peri S, Wu DT, Foster MD. Evidence and Limits of Universal Topological Surface Segregation of Cyclic Polymers. PHYSICAL REVIEW LETTERS 2017; 118:167801. [PMID: 28474912 DOI: 10.1103/physrevlett.118.167801] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/12/2016] [Indexed: 06/07/2023]
Abstract
If you mix lines and circles, what happens at the edge of the mixture? The problem is simply stated, but the answer is not obvious. Twenty years ago it was proposed that a universal topological driving force would drive cyclic chains to enrich the surface of blends of linear and cyclic chains. Here such behavior is demonstrated experimentally for sufficiently long chains and the limit in molecular weight where packing effects dominate over the topological driving force is identified.
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Affiliation(s)
- Qiming He
- Department of Polymer Science, The University of Akron, Akron, Ohio 44325-3909, USA
| | - Shih-Fan Wang
- Department of Polymer Science, The University of Akron, Akron, Ohio 44325-3909, USA
| | - Renfeng Hu
- Chemical Engineering and Chemistry Departments, Colorado School of Mines, Golden, Colorado 80401, USA
| | - Bulent Akgun
- Department of Chemistry, Bogazici University, Bebek, Istanbul 34342, Turkey
- NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-6102, USA
- Department of Materials Science and Engineering, University of Maryland, College Park, Maryland, 20742, USA
| | - Caleb Tormey
- Chemical Engineering and Chemistry Departments, Colorado School of Mines, Golden, Colorado 80401, USA
| | - Somesh Peri
- Department of Polymer Science, The University of Akron, Akron, Ohio 44325-3909, USA
| | - David T Wu
- Chemical Engineering and Chemistry Departments, Colorado School of Mines, Golden, Colorado 80401, USA
| | - Mark D Foster
- Department of Polymer Science, The University of Akron, Akron, Ohio 44325-3909, USA
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19
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20
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Crysup B, Shanbhag S. What Happens When Threading is Suppressed in Blends of Ring and Linear Polymers? Polymers (Basel) 2016; 8:E409. [PMID: 30974687 PMCID: PMC6432297 DOI: 10.3390/polym8120409] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/27/2016] [Revised: 11/15/2016] [Accepted: 11/18/2016] [Indexed: 11/16/2022] Open
Abstract
Self-diffusivity of a large tracer ring polymer, D r , immersed in a matrix of linear polymers with N l monomers each shows unusual length dependence. D r initially increases, and then decreases with increasing N l . To understand the relationship between the nonmonotonic variation in D r and threading by matrix chains, we perform equilibrium Monte Carlo simulations of ring-linear blends in which the uncrossability of ring and linear polymer contours is switched on (non-crossing), or artificially turned off (crossing). The D r ≈ 6 . 2 × 10 - 7 N l 2 / 3 obtained from the crossing simulations, provides an upper bound for the D r obtained for the regular, non-crossing simulations. The center-of-mass mean-squared displacement ( g 3 ( t ) ) curves for the crossing simulations are consistent with the Rouse model; we find g 3 ( t ) = 6 D r t . Analysis of the polymer structure indicates that the smaller matrix chains are able to infiltrate the space occupied by the ring probe more effectively, which is dynamically manifested as a larger frictional drag per ring monomer.
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Affiliation(s)
- Benjamin Crysup
- Department of Scientific Computing, Florida State University, Tallahassee, FL 32306, USA.
| | - Sachin Shanbhag
- Department of Scientific Computing, Florida State University, Tallahassee, FL 32306, USA.
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21
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Affiliation(s)
- Sachin Shanbhag
- Department of Scientific ComputingFlorida State UniversityTallahassee Florida32306
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22
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Doi Y, Iwasa Y, Watanabe K, Nakamura M, Takano A, Takahashi Y, Matsushita Y. Synthesis and Characterization of Comb-Shaped Ring Polystyrenes. Macromolecules 2016. [DOI: 10.1021/acs.macromol.6b00208] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Affiliation(s)
- Yuya Doi
- Department of Applied
Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yutaro Iwasa
- Department of Applied
Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Kazuki Watanabe
- Scientific Instruments
Division, Shoko Scientific Co., Ltd., 1-3-3 Azaminominami, Aoba-ku, Yokohama, Kanagawa 225-0012, Japan
| | - Masahide Nakamura
- Scientific Instruments
Division, Shoko Scientific Co., Ltd., 1-3-3 Azaminominami, Aoba-ku, Yokohama, Kanagawa 225-0012, Japan
| | - Atsushi Takano
- Department of Applied
Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yoshiaki Takahashi
- Institute for Materials Chemistry and Engineering, Kyushu University, 6-1,
Kasuga-koen, Kasuga, Fukuoka 816-8580, Japan
| | - Yushu Matsushita
- Department of Applied
Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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23
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Richter D, Goossen S, Wischnewski A. Celebrating Soft Matter's 10th Anniversary: Topology matters: structure and dynamics of ring polymers. SOFT MATTER 2015; 11:8535-8549. [PMID: 26406787 DOI: 10.1039/c5sm01994j] [Citation(s) in RCA: 44] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Considering topology among all polymer architectures polymer rings are unique, as they are the simplest closed structures without ends. In this review we present recent experimental advances addressing the structure and dynamics of rings. We focus mainly on neutron scattering results that reveal experimental insight on a molecular scale. We first briefly reflect on the progress in ring chemistry that made the experimental access possible. Structural investigations characterizing rings as compact objects in the melts are put into theoretical context. In contrast to the plateau regime common for all other high molecular weight polymer systems, the dynamic modulus of pure ring systems is characterized by a power law decay, while the viscosity displays a much weaker molecular weight dependence as a corresponding linear melt. The dynamics of ring melts is uniquely addressed by neutron spin-echo spectroscopy. The sub-diffusive center of mass motion at short times agrees well with simulation as well as theoretical concepts. In the internal dynamics the basic length scale of the ring molecule, the loop size, manifests itself clearly. The experiments reveal strong evidence for loop motions and call for further theoretical work describing them. Finally, small fractions of ring molecules in linear melts turn out to be very sensitive probes in order to scrutinize the dynamics of the host with the potential to reveal fundamental aspects of the dynamics of branched polymer systems.
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Affiliation(s)
- D Richter
- Jülich Centre for Neutron Science, Forschungszentrum Jülich, 52425 Jülich, Germany.
| | - S Goossen
- Jülich Centre for Neutron Science, Forschungszentrum Jülich, 52425 Jülich, Germany.
| | - A Wischnewski
- Jülich Centre for Neutron Science, Forschungszentrum Jülich, 52425 Jülich, Germany.
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24
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Affiliation(s)
- Yuya Doi
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Atsushi Takano
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yoshiaki Takahashi
- Institute
for Materials Chemistry and Engineering, Kyushu University, 6-1, Kasuga-koen,
Kasuga, Fukuoka 816-8580, Japan
| | - Yushu Matsushita
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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25
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Gooßen S, Krutyeva M, Sharp M, Feoktystov A, Allgaier J, Pyckhout-Hintzen W, Wischnewski A, Richter D. Sensing Polymer Chain Dynamics through Ring Topology: A Neutron Spin Echo Study. PHYSICAL REVIEW LETTERS 2015; 115:148302. [PMID: 26551826 DOI: 10.1103/physrevlett.115.148302] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/18/2015] [Indexed: 06/05/2023]
Abstract
Using neutron spin echo spectroscopy, we show that the segmental dynamics of polymer rings immersed in linear chains is completely controlled by the host. This transforms rings into ideal probes for studying the entanglement dynamics of the embedding matrix. As a consequence of the unique ring topology, in long chain matrices the entanglement spacing is directly revealed, unaffected by local reptation of the host molecules beyond this distance. In shorter entangled matrices, where in the time frame of the experiment secondary effects such as contour length fluctuations or constraint release could play a role, the ring motion reveals that the contour length fluctuation is weaker than assumed in state-of-the-art rheology and that the constraint release is negligible. We expect that rings, as topological probes, will also grant direct access to molecular aspects of polymer motion which have been inaccessible until now within chains adhering to more complex architectures.
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Affiliation(s)
- Sebastian Gooßen
- Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Margarita Krutyeva
- Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Melissa Sharp
- Institute Laue-Langevin (ILL), 38042 Grenoble Cedex 9, France
- European Spallation Source ESS AB, 221 00 Lund, Sweden
| | - Artem Feoktystov
- Jülich Centre for Neutron Science (JCNS) at Heinz Maier-Leibnitz Zentrum (MLZ), Forschungszentrum Jülich GmbH, Lichtenbergstraße 1, 85747 Garching, Germany
| | - Jürgen Allgaier
- Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Wim Pyckhout-Hintzen
- Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Andreas Wischnewski
- Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Dieter Richter
- Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
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26
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Abadi M, Serag MF, Habuchi S. Single-Molecule Imaging Reveals Topology Dependent Mutual Relaxation of Polymer Chains. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b01388] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Affiliation(s)
- Maram Abadi
- Biological and Environmental
Sciences and Engineering Division, King Abdullah University of Science and Technology, P.O. Box 4700, KAUST, Bldg 2 Room 4277, Thuwal 23955-6900, Saudi Arabia
| | - Maged F. Serag
- Biological and Environmental
Sciences and Engineering Division, King Abdullah University of Science and Technology, P.O. Box 4700, KAUST, Bldg 2 Room 4277, Thuwal 23955-6900, Saudi Arabia
| | - Satoshi Habuchi
- Biological and Environmental
Sciences and Engineering Division, King Abdullah University of Science and Technology, P.O. Box 4700, KAUST, Bldg 2 Room 4277, Thuwal 23955-6900, Saudi Arabia
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27
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Doi Y, Matsubara K, Ohta Y, Nakano T, Kawaguchi D, Takahashi Y, Takano A, Matsushita Y. Melt Rheology of Ring Polystyrenes with Ultrahigh Purity. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b00076] [Citation(s) in RCA: 98] [Impact Index Per Article: 10.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Yuya Doi
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Kazuki Matsubara
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yutaka Ohta
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Tomohiro Nakano
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Daisuke Kawaguchi
- Education
Center for Global Leaders in Molecular System for Devices, Kyushu University, Fukuoka 819-0395, Japan
| | - Yoshiaki Takahashi
- Institute
for Materials Chemistry and Engineering, Kyushu University, 6-1, Kasuga-koen,
Kasuga, Fukuoka 816-8580, Japan
| | - Atsushi Takano
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yushu Matsushita
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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28
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Habuchi S, Fujiwara S, Yamamoto T, Vacha M, Tezuka Y. Single-molecule study on polymer diffusion in a melt state: effect of chain topology. Anal Chem 2013; 85:7369-76. [PMID: 23815574 DOI: 10.1021/ac401272a] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Abstract
We report a new methodology for studying diffusion of individual polymer chains in a melt state, with special emphasis on the effect of chain topology. A perylene diimide fluorophore was incorporated into the linear and cyclic poly(THF)s, and real-time diffusion behavior of individual chains in a melt of linear poly(THF) was measured by means of a single-molecule fluorescence imaging technique. The combination of mean squared displacement (MSD) and cumulative distribution function (CDF) analysis demonstrated the broad distribution of diffusion coefficient of both the linear and cyclic polymer chains in the melt state. This indicates the presence of spatiotemporal heterogeneity of the polymer diffusion which occurs at much larger time and length scales than those expected from the current polymer physics theory. We further demonstrated that the cyclic chains showed marginally slower diffusion in comparison with the linear counterparts, to suggest the effective suppression of the translocation through the threading-entanglement with the linear matrix chains. This coincides with the higher activation energy for the diffusion of the cyclic chains than of the linear chains. These results suggest that the single-molecule imaging technique provides a powerful tool to analyze complicated polymer dynamics and contributes to the molecular level understanding of the chain interaction.
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Affiliation(s)
- Satoshi Habuchi
- Biological and Environmental Sciences and Engineering Division, King Abdullah University of Science and Technology, KAUST, Thuwal, Kingdom of Saudi Arabia.
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29
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30
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Doi Y, Ohta Y, Nakamura M, Takano A, Takahashi Y, Matsushita Y. Precise Synthesis and Characterization of Tadpole-Shaped Polystyrenes with High Purity. Macromolecules 2013. [DOI: 10.1021/ma302511j] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
Affiliation(s)
- Yuya Doi
- Department of Applied Chemistry,
Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yutaka Ohta
- Department of Applied Chemistry,
Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Masahide Nakamura
- Scientific Instruments Division, Shoko Scientific Co., Ltd., 1-3-3, Azaminominami, Aoba-ku,
Yokohama, Kanagawa. 225-0012, Japan
| | - Atsushi Takano
- Department of Applied Chemistry,
Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yoshiaki Takahashi
- Institute for Materials Chemistry
and Engineering, Kyushu University, 6-1,
Kasuga-koen, Kasuga, Fukuoka 816-8580, Japan
| | - Yushu Matsushita
- Department of Applied Chemistry,
Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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31
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Kawaguchi D, Ohta Y, Takano A, Matsushita Y. Temperature and Molecular Weight Dependence of Mutual Diffusion Coefficient of Cyclic Polystyrene/Cyclic Deuterated Polystyrene Bilayer Films. Macromolecules 2012. [DOI: 10.1021/ma3006872] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Daisuke Kawaguchi
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yutaka Ohta
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Atsushi Takano
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yushu Matsushita
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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32
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Wang SF, Jiang Z, Narayanan S, Foster MD. Dynamics of Surface Fluctuations on Macrocyclic Melts. Macromolecules 2012. [DOI: 10.1021/ma2028215] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Shih-Fan Wang
- Department of Polymer Science, The University of Akron, Akron, Ohio 44325, United
States
| | - Zhang Jiang
- X-ray Science Division, Argonne National Laboratory, Argonne, Illinois 60439,
United States
| | - Suresh Narayanan
- X-ray Science Division, Argonne National Laboratory, Argonne, Illinois 60439,
United States
| | - Mark D. Foster
- Department of Polymer Science, The University of Akron, Akron, Ohio 44325, United
States
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33
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Halverson JD, Grest GS, Grosberg AY, Kremer K. Rheology of ring polymer melts: from linear contaminants to ring-linear blends. PHYSICAL REVIEW LETTERS 2012; 108:038301. [PMID: 22400790 DOI: 10.1103/physrevlett.108.038301] [Citation(s) in RCA: 138] [Impact Index Per Article: 11.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/08/2011] [Indexed: 05/31/2023]
Abstract
Ring polymers remain a challenge to our understanding of polymer dynamics. Experiments are difficult to interpret because of the uncertainty in the purity and dispersity of the sample. Using both equilibrium and nonequilibrium molecular dynamics simulations we have investigated the structure, dynamics, and rheology of perfectly controlled ring-linear polymer blends of chains of up to about 14 entanglements per chain, comparable to experimental systems. Linear contaminants increase the zero-shear viscosity of a ring polymer melt by about 10% around one-fifth of their overlap concentration. For equal concentrations of linear and ring polymers, the blend viscosity is about twice that of the pure linear melt. The diffusion coefficient of the rings decreases dramatically, while the linear polymers are mostly unaffected. Our results are supported by a primitive path analysis.
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Affiliation(s)
- Jonathan D Halverson
- Max Planck Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany
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34
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35
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KAWAGUCHI D. Mutual Diffusion and Relaxation at Polymer/Polymer Interfaces. KOBUNSHI RONBUNSHU 2012. [DOI: 10.1295/koron.69.598] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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36
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Takano A, Ohta Y, Masuoka K, Matsubara K, Nakano T, Hieno A, Itakura M, Takahashi K, Kinugasa S, Kawaguchi D, Takahashi Y, Matsushita Y. Radii of Gyration of Ring-Shaped Polystyrenes with High Purity in Dilute Solutions. Macromolecules 2011. [DOI: 10.1021/ma202031w] [Citation(s) in RCA: 74] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Atsushi Takano
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Yutaka Ohta
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Keisuke Masuoka
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Kazuki Matsubara
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Tomohiro Nakano
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Atsushi Hieno
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Masanao Itakura
- National Metrology
Institute
of Japan, National Institute of Advanced Industrial Science and Technology, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8565,
Japan
| | - Kayori Takahashi
- National Metrology
Institute
of Japan, National Institute of Advanced Industrial Science and Technology, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8565,
Japan
| | - Shinichi Kinugasa
- National Metrology
Institute
of Japan, National Institute of Advanced Industrial Science and Technology, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8565,
Japan
| | - Daisuke Kawaguchi
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Yoshiaki Takahashi
- Institute for Materials
Chemistry
and Engineering, Kyushu University, 6-1,
Kasuga-koen, Kasuga-city, Fukuoka 816-8580, Japan
| | - Yushu Matsushita
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
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37
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Zhang G, Fan Z, Yang Y, Qiu F. Phase behaviors of cyclic diblock copolymers. J Chem Phys 2011; 135:174902. [DOI: 10.1063/1.3657437] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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38
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Menzel AM. Density and concentration field description of nonperiodic structures. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:051505. [PMID: 22181420 DOI: 10.1103/physreve.84.051505] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/10/2011] [Revised: 10/05/2011] [Indexed: 05/31/2023]
Abstract
We propose a simple nonlocal energy functional that is suitable for the continuum field characterization of nonperiodic and localized textures. The phenomenological functional is based on the pairwise direction-dependent interaction of field gradients that are separated by a fixed distance. In an appendix, we describe the numerical minimization of our functional. On that basis, we investigate the kinetic evolution of threadlike stripe patterns that are created by the functional when we start from an initially disordered state. At later stages, we find a coarse graining that shows the same scaling behavior as was obtained for the Cahn-Hilliard equation. In fact, the Cahn-Hilliard model is contained in our characterization as a limiting case. A slight modification of our model omits this coarse graining and leads to nonperiodic stripe phases. For the latter case, we investigate the temporal evolution of the defects (end points) of the threadlike stripes. In view of actual applications of this functional, we discuss the characterization of processes observed for polymeric systems and vesicles. The statistics of the growth of the threadlike structures is compared to the case of step-growth polymerization reactions. Furthermore, we demonstrate that the functional may be applied for the study of vesicles in a continuum field description. Basic features, such as the tendency of tank treading in simple shear flows and parachute folding in pipe flows, are reproduced.
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Affiliation(s)
- Andreas M Menzel
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.
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39
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Tsolou G, Stratikis N, Baig C, Stephanou PS, Mavrantzas VG. Melt Structure and Dynamics of Unentangled Polyethylene Rings: Rouse Theory, Atomistic Molecular Dynamics Simulation, and Comparison with the Linear Analogues. Macromolecules 2010. [DOI: 10.1021/ma1017555] [Citation(s) in RCA: 101] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Georgia Tsolou
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Nikos Stratikis
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Chunggi Baig
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Pavlos S. Stephanou
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Vlasis G. Mavrantzas
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
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40
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Yang YB, Sun ZY, Fu CL, An LJ, Wang ZG. Monte Carlo simulation of a single ring among linear chains: Structural and dynamic heterogeneity. J Chem Phys 2010; 133:064901. [DOI: 10.1063/1.3466921] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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41
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Habuchi S, Satoh N, Yamamoto T, Tezuka Y, Vacha M. Multimode Diffusion of Ring Polymer Molecules Revealed by a Single-Molecule Study. Angew Chem Int Ed Engl 2010. [DOI: 10.1002/ange.200904394] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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42
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Habuchi S, Satoh N, Yamamoto T, Tezuka Y, Vacha M. Multimode Diffusion of Ring Polymer Molecules Revealed by a Single-Molecule Study. Angew Chem Int Ed Engl 2010; 49:1418-21. [DOI: 10.1002/anie.200904394] [Citation(s) in RCA: 72] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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43
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44
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Nam S, Leisen J, Breedveld V, Beckham HW. Melt Dynamics of Blended Poly(oxyethylene) Chains and Rings. Macromolecules 2009. [DOI: 10.1021/ma802294j] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Sunghyun Nam
- Polymer, Textile and Fiber Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0295, and Chemical and Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0100
| | - Johannes Leisen
- Polymer, Textile and Fiber Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0295, and Chemical and Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0100
| | - Victor Breedveld
- Polymer, Textile and Fiber Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0295, and Chemical and Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0100
| | - Haskell W. Beckham
- Polymer, Textile and Fiber Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0295, and Chemical and Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0100
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45
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Ohta Y, Kushida Y, Matsushita Y, Takano A. SEC–MALS characterization of cyclization reaction products: Formation of knotted ring polymer. POLYMER 2009. [DOI: 10.1016/j.polymer.2009.01.023] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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46
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Takano A, Kushida Y, Ohta Y, Masuoka K, Matsushita Y. The second virial coefficients of highly-purified ring polystyrenes in cyclohexane. POLYMER 2009. [DOI: 10.1016/j.polymer.2009.01.019] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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47
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Kapnistos M, Lang M, Vlassopoulos D, Pyckhout-Hintzen W, Richter D, Cho D, Chang T, Rubinstein M. Unexpected power-law stress relaxation of entangled ring polymers. NATURE MATERIALS 2008; 7:997-1002. [PMID: 18953345 PMCID: PMC4819970 DOI: 10.1038/nmat2292] [Citation(s) in RCA: 369] [Impact Index Per Article: 23.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/07/2008] [Accepted: 09/12/2008] [Indexed: 05/03/2023]
Abstract
After many years of intense research, most aspects of the motion of entangled polymers have been understood. Long linear and branched polymers have a characteristic entanglement plateau and their stress relaxes by chain reptation or branch retraction, respectively. In both mechanisms, the presence of chain ends is essential. But how do entangled polymers without ends relax their stress? Using properly purified high-molar-mass ring polymers, we demonstrate that these materials exhibit self-similar dynamics, yielding a power-law stress relaxation. However, trace amounts of linear chains at a concentration almost two decades below their overlap cause an enhanced mechanical response. An entanglement plateau is recovered at higher concentrations of linear chains. These results constitute an important step towards solving an outstanding problem of polymer science and are useful for manipulating properties of materials ranging from DNA to polycarbonate. They also provide possible directions for tuning the rheology of entangled polymers.
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Affiliation(s)
- M Kapnistos
- FORTH, Institute of Electronic Structure and Laser, Heraklion, Crete 71110, Greece
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48
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Iyer BVS, Shanbhag S, Juvekar VA, Lele AK. Self-diffusion coefficient of ring polymers in semidilute solution. ACTA ACUST UNITED AC 2008. [DOI: 10.1002/polb.21569] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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49
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Subramanian G, Shanbhag S. Self-Diffusion in Binary Blends of Cyclic and Linear Polymers. Macromolecules 2008. [DOI: 10.1021/ma801232j] [Citation(s) in RCA: 48] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Gopinath Subramanian
- Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306-4120, and Department of Chemical and Biomedical Engineering, FAMU-FSU College of Engineering, Tallahassee, Florida 32310-6046
| | - Sachin Shanbhag
- Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306-4120, and Department of Chemical and Biomedical Engineering, FAMU-FSU College of Engineering, Tallahassee, Florida 32310-6046
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Ohta Y, Kushida Y, Kawaguchi D, Matsushita Y, Takano A. Preparation, Characterization, and Nanophase-Separated Structure of Catenated Polystyrene−Polyisoprene. Macromolecules 2008. [DOI: 10.1021/ma7028852] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Yutaka Ohta
- Department of Applied Chemistry, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya City 464-8603, Japan
| | - Yuuki Kushida
- Department of Applied Chemistry, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya City 464-8603, Japan
| | - Daisuke Kawaguchi
- Department of Applied Chemistry, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya City 464-8603, Japan
| | - Yushu Matsushita
- Department of Applied Chemistry, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya City 464-8603, Japan
| | - Atsushi Takano
- Department of Applied Chemistry, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya City 464-8603, Japan
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