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Ghasimakbari T, Morse DC. Dynamics and Viscoelasticity of Disordered Melts of Symmetric Diblock Copolymers. Macromolecules 2019. [DOI: 10.1021/acs.macromol.9b01287] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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2
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Affiliation(s)
- Gaoyuan Wang
- Institute for Theoretical Physics, Georg-August-University, 37077 Göttingen, Germany
| | - Yongzhi Ren
- Institute for Theoretical Physics, Georg-August-University, 37077 Göttingen, Germany
- Key Lab of In-fiber Integrated Optics, Ministry Education of China, Harbin Engineering University, Harbin, China
- State Key Laboratory of Molecular Engineering of Polymers, Fudan University, Shanghai, China
| | - Marcus Müller
- Institute for Theoretical Physics, Georg-August-University, 37077 Göttingen, Germany
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3
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Oparaji O, Narayanan S, Sandy A, Ramakrishnan S, Hallinan D. Structural Dynamics of Strongly Segregated Block Copolymer Electrolytes. Macromolecules 2018. [DOI: 10.1021/acs.macromol.7b01803] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Affiliation(s)
- Onyekachi Oparaji
- FAMU-FSU College of Engineering, Florida A&M University−Florida State University, Tallahassee, Florida 32310, United States
- The National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32303, United States
| | - Suresh Narayanan
- Argonne National
Laboratory, Argonne, Illinois 60439, United States
| | - Alec Sandy
- Argonne National
Laboratory, Argonne, Illinois 60439, United States
| | - Subramanian Ramakrishnan
- FAMU-FSU College of Engineering, Florida A&M University−Florida State University, Tallahassee, Florida 32310, United States
- The National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32303, United States
| | - Daniel Hallinan
- FAMU-FSU College of Engineering, Florida A&M University−Florida State University, Tallahassee, Florida 32310, United States
- The National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32303, United States
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4
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Bu X, Zhang X. Scattering and Gaussian Fluctuation Theory for Semiflexible Polymers. Polymers (Basel) 2016; 8:E301. [PMID: 30974614 PMCID: PMC6432401 DOI: 10.3390/polym8090301] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/31/2016] [Revised: 08/05/2016] [Accepted: 08/08/2016] [Indexed: 11/16/2022] Open
Abstract
The worm-like chain is one of the best theoretical models of the semiflexible polymer. The structure factor, which can be obtained by scattering experiment, characterizes the density correlation in different length scales. In the present review, the numerical method to compute the static structure factor of the worm-like chain model and its general properties are demonstrated. Especially, the chain length and persistence length involved multi-scale nature of the worm-like chain model are well discussed. Using the numerical structure factor, Gaussian fluctuation theory of the worm-like chain model can be developed, which is a powerful tool to analyze the structure stability and to predict the spinodal line of the system. The microphase separation of the worm-like diblock copolymer is considered as an example to demonstrate the usage of Gaussian fluctuation theory.
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Affiliation(s)
- Xiangyu Bu
- School of Science, Beijing Jiaotong University, Beijing 100044, China.
| | - Xinghua Zhang
- School of Science, Beijing Jiaotong University, Beijing 100044, China.
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6
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Svenšek D, Podgornik R. Correlation functions of main-chain polymer nematics constrained by tensorial and vectorial conservation laws. J Chem Phys 2015; 143:114902. [DOI: 10.1063/1.4930920] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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7
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Sanz A, Ezquerra TA, Hernández R, Sprung M, Nogales A. Relaxation processes in a lower disorder order transition diblock copolymer. J Chem Phys 2015; 142:064904. [DOI: 10.1063/1.4907722] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Alejandro Sanz
- Instituto de Estructura de la Materia, IEM-CSIC. C/ Serrano 121, Madrid 28006, Spain
| | - Tiberio A. Ezquerra
- Instituto de Estructura de la Materia, IEM-CSIC. C/ Serrano 121, Madrid 28006, Spain
| | - Rebeca Hernández
- Instituto de Ciencia y Tecnología de Polímeros, ICTP-CSIC. C/ Juan de la Cierva 3, Madrid 28006, Spain
| | | | - Aurora Nogales
- Instituto de Estructura de la Materia, IEM-CSIC. C/ Serrano 121, Madrid 28006, Spain
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8
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Jang WS, Koo P, Sykorsky M, Narayanan S, Sandy A, Mochrie SGJ. The Static and Dynamic Structure Factor of a Diblock Copolymer Melt via Small-Angle X-ray Scattering and X-ray Photon Correlation Spectroscopy. Macromolecules 2013. [DOI: 10.1021/ma4014548] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Woo-Sik Jang
- Deparment
of Physics, Yale University, New Haven, Connecticut 06511, United States
| | - Peter Koo
- Deparment
of Physics, Yale University, New Haven, Connecticut 06511, United States
| | - Marcin Sykorsky
- Linac
Coherent Light Source, Stanford Linear Accelerator Laboratory, Menlo Park, California 94025, United States
| | - Suresh Narayanan
- Advanced
Photon Source, Argonne National Laboratory, Argonne, Illinois 60439, United States
| | - Alec Sandy
- Advanced
Photon Source, Argonne National Laboratory, Argonne, Illinois 60439, United States
| | - Simon G. J. Mochrie
- Deparment
of Physics, Yale University, New Haven, Connecticut 06511, United States
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9
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Patel AJ, Mochrie S, Narayanan S, Sandy A, Watanabe H, Balsara NP. Dynamic Signatures of Microphase Separation in a Block Copolymer Melt Determined by X-ray Photon Correlation Spectroscopy and Rheology. Macromolecules 2010. [DOI: 10.1021/ma902343m] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Amish J. Patel
- Department of Chemical Engineering, University of California, Berkeley, California 94720
| | - Simon Mochrie
- Department of Physics, Yale University, New Haven, Connecticut 06520
| | | | - Alec Sandy
- Argonne National Laboratory, Argonne, Illinois 60439
| | - Hiroshi Watanabe
- Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - Nitash P. Balsara
- Department of Chemical Engineering, University of California, Berkeley, California 94720
- Materials Sciences Division and Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
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11
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Affiliation(s)
- Moon Jeong Park
- Department of Chemical Engineering, University of California, Berkeley, California 94720, and Materials Sciences Division and Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
| | - Nitash P. Balsara
- Department of Chemical Engineering, University of California, Berkeley, California 94720, and Materials Sciences Division and Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
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12
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Li J, Li W, Huo H, Luo S, Wu C. Reexamination of the Slow Mode in Semidilute Polymer Solutions: The Effect of Solvent Quality. Macromolecules 2008. [DOI: 10.1021/ma071284b] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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13
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Takenaka M, Nishitsuji S, Hasegawa H. Quantitative comparison between dynamic structure factors obtained experimentally and those calculated with Doi-Onuki theory. J Chem Phys 2007; 126:064903. [PMID: 17313240 DOI: 10.1063/1.2434956] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
This paper reports results of quantitative comparison between dynamic structure factors obtained experimentally and those calculated by using the Doi and Onuki (DO) theory for semidilute polymer solutions. The authors obtained the dynamic structure factors with dynamic light scattering (DLS) experiment while the dynamic structure factors were calculated by using DO theory with osmotic compressibility, viscoelastic relaxation function, and friction coefficient which are obtained independently of DLS experiment. Calculated dynamic structure factors agree with experimental ones well and can express the q-dependent fast modes and the q-insensitive slow mode which experimental ones show. The authors estimated the characteristic parameters, interdiffusion coefficient and cooperative diffusion coefficient, from experimental and calculated results by using the procedure proposed by Einaga and Fujita [Polymer 40, 565 (1999)]. The estimated parameters for the DLS experiment agree with those for the calculation. These agreements in dynamic structure factors and the parameters indicate that DO theory can describe well the relaxation processes of semidilute polymer solutions.
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Affiliation(s)
- Mikihito Takenaka
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Kyoto 615-8510, Japan
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14
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Park MJ, Char K, Lodge TP, Kim JK. Transient Solidlike Behavior near the Cylinder/Disorder Transition in Block Copolymer Solutions. J Phys Chem B 2006; 110:15295-301. [PMID: 16884248 DOI: 10.1021/jp056336i] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
A nearly symmetric polystyrene-block-polyisoprene diblock copolymer dissolved at a concentration of 40% in styrene-selective solvents exhibited a cylinder-to-disorder transition upon heating. The solvents used were diethyl phthalate (DEP) and 75:25 and 50:50 mixtures of DEP with di-n-butyl phthalate (DBP). In DEP, the most styrene-selective of the three solvents, rheological measurements indicated a distinct plateau in the temperature-dependent elastic modulus across the 8 degrees C interval above the order-disorder transition temperature, T(ODT) = 116 degrees C. Previous small-angle neutron scattering measurements in this regime indicated the equilibrium phase to be a liquidlike solution of approximately spherical micelles. An isothermal frequency sweep in this regime indicated a very long relaxation time. Annealing eventually led to the recovery of liquidlike rheological response, over a time scale of hours. Qualitatively similar phenomena were also observed in 75:25 DEP/DBP and 50:50 DEP/DBP solutions, except the fact that the temperature window of the transient response is narrow and the time scale for the recovery diminishes significantly. Neither small-angle X-ray scattering nor static birefringence gave any clear signature of the transient structure. The structure that leads to the transient rheological response is attributed to micellar congestion due to the slow relaxation of anisotropic micelles into an equilibrium distribution of micelles. Possible origins of the remarkable solvent selectivity dependence are also discussed.
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Affiliation(s)
- Moon Jeong Park
- School of Chemical and Biological Engineering and NANO Systems Institute, National Core Research Center, Seoul National University, Seoul 151-744, South Korea
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15
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Patel AJ, Narayanan S, Sandy A, Mochrie SGJ, Garetz BA, Watanabe H, Balsara NP. Relationship between structural and stress relaxation in a block-copolymer melt. PHYSICAL REVIEW LETTERS 2006; 96:257801. [PMID: 16907344 DOI: 10.1103/physrevlett.96.257801] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/24/2006] [Indexed: 05/11/2023]
Abstract
The relationship between structural relaxation on molecular length scales and macroscopic stress relaxation was explored in a disordered block-copolymer melt. Experiments show that the structural relaxation time, measured by x-ray photon correlation spectroscopy is larger than the terminal stress relaxation time, measured by rheology, by factors as large as 100. We demonstrate that the structural relaxation data are dominated by the diffusion of intact micelles while the stress relaxation data are dominated by contributions due to disordered concentration fluctuations.
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Affiliation(s)
- Amish J Patel
- Department of Chemical Engineering, University of California, Berkeley, California 94720, USA
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16
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Semenov AN. Micelle formation in statistical copolymers. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2006; 73:041803. [PMID: 16711829 DOI: 10.1103/physreve.73.041803] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/13/2005] [Revised: 08/11/2005] [Indexed: 05/09/2023]
Abstract
Formation of microdomain structures in concentrated systems of irregular (stochastic) copolymers with weak composition asymmetry (epsilon>>1) is considered theoretically. The study is focused on the weak segregation regime for infinitely long copolymer chains near the disorder-to-order transition. It is shown that the transition occurs below the spinodal (at chi(0)< chi*) and that it results in the formation of micelles rather than in a superposition pattern of a few harmonic composition waves. The micelle size is inversely proportional to Delta(chi=chi)-(chi0). For small Delta(chi) the micelles are like large nearly uniform droplets with "reflected" composition, -epsilon. As Delta(chi) increases the micelle composition profile develops oscillations. A first-order transition from spherical-wave micelles to micelles with internal bcc structure is predicted at chi/chi*-1 proportional to epsilon(2). Interaction of micelles is also considered. It is shown that micelles always tend to form a fcc superlattice. The micellization in the weak segregation regime is controlled by the so-called nonlocal free energy. The classical fourth order (in composition parameter A) approximation for this energy is significantly generalized in the regime of low volume fraction of micelles. It is shown that the nonlocal energy strongly (exponentially) increases with A near and above a certain critical value A approximately equal to A*.
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Affiliation(s)
- A N Semenov
- Institut Charles Sadron, 6 rue Boussingault, 67083 Strasbourg Cedex, France
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17
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Takenaka M, Miyazawa M, Miyajima T, Hashimoto T. Synchrotron Small-Angle X-ray Scattering of Relaxation Process in a Nonentangled Diblock Copolymer. Macromolecules 2005. [DOI: 10.1021/ma051167l] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Mikihito Takenaka
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Nishikyo-ku, Kyoto 615-8510, Japan
| | - Masaaki Miyazawa
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Nishikyo-ku, Kyoto 615-8510, Japan
| | - Tatsuya Miyajima
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Nishikyo-ku, Kyoto 615-8510, Japan
| | - Takeji Hashimoto
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Nishikyo-ku, Kyoto 615-8510, Japan
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18
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Holmqvist P, Fytas G, Pispas S, Hadjichristidis N, Saijo K, Tanaka H, Hashimoto T. Solvent Quality, Phase Coexistence, and Dynamics in Ultrahigh Molecular Weight Diblock Copolymer Solutions. Macromolecules 2004. [DOI: 10.1021/ma049702p] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- P. Holmqvist
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece; Department of Chemistry, University of Athens, 15771 Zografou, Athens, Greece; and Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Kyoto 615-8510, Japan
| | - G. Fytas
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece; Department of Chemistry, University of Athens, 15771 Zografou, Athens, Greece; and Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Kyoto 615-8510, Japan
| | - S. Pispas
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece; Department of Chemistry, University of Athens, 15771 Zografou, Athens, Greece; and Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Kyoto 615-8510, Japan
| | - N. Hadjichristidis
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece; Department of Chemistry, University of Athens, 15771 Zografou, Athens, Greece; and Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Kyoto 615-8510, Japan
| | - K. Saijo
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece; Department of Chemistry, University of Athens, 15771 Zografou, Athens, Greece; and Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Kyoto 615-8510, Japan
| | - H. Tanaka
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece; Department of Chemistry, University of Athens, 15771 Zografou, Athens, Greece; and Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Kyoto 615-8510, Japan
| | - T. Hashimoto
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece; Department of Chemistry, University of Athens, 15771 Zografou, Athens, Greece; and Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Kyoto 615-8510, Japan
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Raudino A, Lo Celso F, Triolo A, Triolo R. Pressure-induced formation of diblock copolymer “micelles” in supercritical fluids. A combined study by small angle scattering experiments and mean-field theory. I. The critical micellization density concept. J Chem Phys 2004; 120:3489-98. [PMID: 15268507 DOI: 10.1063/1.1640998] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We developed a simple mean-field theory to describe polymer and AB diblock copolymer phase separation in supercritical (SC) fluids. The highly compressible SC fluid has been described by using a phenomenological hole theory, properly extended to consider the solvent/polymer/vacancy pseudoternary mixture. The model has been applied to describe the phase behavior of AB-diblock copolymers under the assumption of a strong solvent selectivity for just one copolymer chain. In our model the solvent selectivity is a strong function of the external pressure because in compressible fluids vacancies reduce the number of favorable solvent-polymer contacts. The combined effect of the pressure on the average solvent quality and selectivity for a single polymer chain makes the phase behavior of a diblock copolymer in SC fluids quite complex. Small angle neutron and x-ray scattering (SANS and SAXS) measurements have been performed on SC-CO2 solutions of different AB-diblock copolymers containing a perfluorinated chain. The data obtained over a wide range of pressure and temperature confirm our theoretical predictions.
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Affiliation(s)
- A Raudino
- Dipartimento di Chimica, Universita di Catania, Catania, Italy
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20
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Erukhimovich IY, Kudryavtsev YV. Frequency dispersion of sound propagation in Rouse polymer melts via generalized dynamic random phase approximation. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2003; 11:349-365. [PMID: 15011037 DOI: 10.1140/epje/i2003-10022-x] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
An extended generalization of the dynamic random phase approximation (DRPA) for L-component polymer systems is presented. Unlike the original version of the DRPA, which relates the (LxL) matrices of the collective density-density time correlation functions and the corresponding susceptibilities of concentrated polymer systems to those of the tracer macromolecules and so-called broken-links system (BLS), our generalized DRPA solves this problem for the (5xL) x (5xL) matrices of the coupled susceptibilities and time correlation functions of the component number, kinetic energy and flux densities. The presented technique is used to study propagation of sound and dynamic form-factor in disentangled (Rouse) monodisperse homopolymer melt. The calculated ultrasonic velocity and absorption coefficient reveal substantial frequency dispersion. The relaxation time tau is proportional to the degree of polymerization N, which is N times less than the Rouse time and evidences strong dynamic screening because of interchain interaction. We discuss also some peculiarities of the Brillouin scattering in polymer melts. Besides, a new convenient expression for the dynamic structure function of the single Rouse chain in (q,p) representation is found.
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Affiliation(s)
- I Ya Erukhimovich
- Physics Department, Moscow State University, Leninskie Gory, Moscow 119992, Russia.
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Holmqvist P, Pispas S, Hadjichristidis N, Fytas G, Sigel R. Dynamic Structure Factor of Diblock Copolymers Solutions in the Disordered State. 3. The Non-Mean-Field Regime. Macromolecules 2003. [DOI: 10.1021/ma021402p] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- P. Holmqvist
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece, and Department of Chemistry, University of Athens, 15701 Zografou, Athens, Greece
| | - S. Pispas
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece, and Department of Chemistry, University of Athens, 15701 Zografou, Athens, Greece
| | - N. Hadjichristidis
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece, and Department of Chemistry, University of Athens, 15701 Zografou, Athens, Greece
| | - G. Fytas
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece, and Department of Chemistry, University of Athens, 15701 Zografou, Athens, Greece
| | - R. Sigel
- FORTH−Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece, and Department of Chemistry, University of Athens, 15701 Zografou, Athens, Greece
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22
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Rubio AM, Lodge JFM, Freire JJ. Simulation of Dynamic Scattering from Homopolymer and Symmetric Diblock Copolymer Solutions with the Bond Fluctuation Model. Macromolecules 2002. [DOI: 10.1021/ma0121262] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Ana M. Rubio
- Departamento de Química Física, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain
| | - J. Felicity M. Lodge
- Departamento de Química Física, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain
| | - Juan J. Freire
- Departamento de Química Física, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain
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Kreig A, Lefebvre AA, Hahn H, Balsara NP, Qi S, Chakraborty AK, Xenidou M, Hadjichristidis N. Micelle formation of randomly grafted copolymers in slightly selective solvents. J Chem Phys 2001. [DOI: 10.1063/1.1395559] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Zheng H, Teraoka I. Dynamic Light Scattering from Semidilute Solutions of a Styrene−Acrylonitrile Random Copolymer. Macromolecules 2001. [DOI: 10.1021/ma001646e] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Haifeng Zheng
- Herman F. Mark Polymer Research Institute, Polytechnic University, Six MetroTech Center, Brooklyn, New York 11201
| | - Iwao Teraoka
- Herman F. Mark Polymer Research Institute, Polytechnic University, Six MetroTech Center, Brooklyn, New York 11201
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Lee D, Teraoka I, Fujiwara T, Kimura Y. Phase Fluctuation Chromatography of Diblock Copolymer of Poly(ethylene glycol) and Poly(l-lactide) for Fractionation by the Block Length Ratio. Macromolecules 2001. [DOI: 10.1021/ma0101207] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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26
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Borsali R, Lecommandoux S, Pecora R, Benoît H. Scattering Properties of Rod−Coil and Once-Broken Rod Block Copolymers. Macromolecules 2001. [DOI: 10.1021/ma001760x] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- R. Borsali
- LCPO-CNRS-ENSCPB, Bordeaux 1 University (UMR 5629), 16 Avenue Pey-Berland, 33607 Pessac, Cedex, France
| | - S. Lecommandoux
- LCPO-CNRS-ENSCPB, Bordeaux 1 University (UMR 5629), 16 Avenue Pey-Berland, 33607 Pessac, Cedex, France
| | - R. Pecora
- Department of Chemistry, Stanford University, Stanford, California 94305
| | - H. Benoît
- Institut Charles Sadron (CNRS, UPR 22), 6 rue Boussingault, 67083 Strasbourg, Cedex, France
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27
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Lumma D, Borthwick MA, Falus P, Lurio LB, Mochrie SG. Equilibrium dynamics in the nondiffusive regime of an entangled polymer blend. PHYSICAL REVIEW LETTERS 2001; 86:2042-2045. [PMID: 11289850 DOI: 10.1103/physrevlett.86.2042] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/06/2000] [Indexed: 05/23/2023]
Abstract
The dynamics of compositional fluctuations in a miscible, entangled homopolymer blend of poly(ethylene oxide) and poly(methyl methacrylate) were studied on length scales smaller than the polymer radii of gyration, and for times comparable to the polymers' disentanglement time. The measured relaxation rates are consistent with predictions of the reptation model, as expressed via the dynamic random-phase approximation. Moreover, the observed mode amplitudes allow for an estimate of the entanglement length in the blend.
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Affiliation(s)
- D Lumma
- Department of Physics and Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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Chrissopoulou K, Pryamitsyn VA, Anastasiadis SH, Fytas G, Semenov AN, Xenidou M, Hadjichristidis N. Dynamics of the Most Probable Composition Fluctuations of “Real” Diblock Copolymers near the Ordering Transition. Macromolecules 2001. [DOI: 10.1021/ma001541b] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- K. Chrissopoulou
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, 711 10 Heraklion Crete, Greece; Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, U.K.; Physics Department, University of Crete, 710 03 Heraklion Crete, Greece; and Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece
| | - V. A. Pryamitsyn
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, 711 10 Heraklion Crete, Greece; Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, U.K.; Physics Department, University of Crete, 710 03 Heraklion Crete, Greece; and Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece
| | - S. H. Anastasiadis
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, 711 10 Heraklion Crete, Greece; Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, U.K.; Physics Department, University of Crete, 710 03 Heraklion Crete, Greece; and Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece
| | - G. Fytas
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, 711 10 Heraklion Crete, Greece; Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, U.K.; Physics Department, University of Crete, 710 03 Heraklion Crete, Greece; and Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece
| | - A. N. Semenov
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, 711 10 Heraklion Crete, Greece; Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, U.K.; Physics Department, University of Crete, 710 03 Heraklion Crete, Greece; and Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece
| | - M. Xenidou
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, 711 10 Heraklion Crete, Greece; Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, U.K.; Physics Department, University of Crete, 710 03 Heraklion Crete, Greece; and Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece
| | - N. Hadjichristidis
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, 711 10 Heraklion Crete, Greece; Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, U.K.; Physics Department, University of Crete, 710 03 Heraklion Crete, Greece; and Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece
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Affiliation(s)
- A. N. Semenov
- Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, U.K
| | - S. H. Anastasiadis
- Foundation for Research and Technology-Hellas, Institute of Electronic Structure and Laser, P.O. Box 1527, 71110 Heraklion, Crete, Greece, and University of Crete, Physics Department, 710 03 Heraklion, Crete, Greece
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Chrissopoulou K, Harville S, Anastasiadis SH, Fytas G, Mays J, Hadjichristidis N. Macromolecular architecture effects on block copolymer dynamics. II. A2B simple grafts. ACTA ACUST UNITED AC 1999. [DOI: 10.1002/(sici)1099-0488(19991215)37:24<3385::aid-polb1>3.0.co;2-d] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Sigel R, Pispas S, Hadjichristidis N, Vlassopoulos D, Fytas G. Dynamic Structure Factor of Diblock Copolymer Solutions in the Disordered State. 1. Far from the Ordering Transition. Macromolecules 1999. [DOI: 10.1021/ma991213f] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- R. Sigel
- Institute of Electronic Structure and Laser, Foundation for Research and TechnologyHellas (FORTH), 71110 Heraklion, Crete, Greece, and Department of Chemistry, University of Athens, 15771 Athens, Greece
| | - S. Pispas
- Institute of Electronic Structure and Laser, Foundation for Research and TechnologyHellas (FORTH), 71110 Heraklion, Crete, Greece, and Department of Chemistry, University of Athens, 15771 Athens, Greece
| | - N. Hadjichristidis
- Institute of Electronic Structure and Laser, Foundation for Research and TechnologyHellas (FORTH), 71110 Heraklion, Crete, Greece, and Department of Chemistry, University of Athens, 15771 Athens, Greece
| | - D. Vlassopoulos
- Institute of Electronic Structure and Laser, Foundation for Research and TechnologyHellas (FORTH), 71110 Heraklion, Crete, Greece, and Department of Chemistry, University of Athens, 15771 Athens, Greece
| | - G. Fytas
- Institute of Electronic Structure and Laser, Foundation for Research and TechnologyHellas (FORTH), 71110 Heraklion, Crete, Greece, and Department of Chemistry, University of Athens, 15771 Athens, Greece
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Semenov AN. Dynamics of irregular copolymers. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 60:3076-85. [PMID: 11970115 DOI: 10.1103/physreve.60.3076] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/18/1998] [Revised: 05/11/1999] [Indexed: 04/18/2023]
Abstract
Reptation dynamics of AB copolymers with irregular chemical structure are considered theoretically. It is shown that interactions between A and B monomers could result in a significant slowdown of copolymer dynamics in the disordered (macroscopically homogeneous) state. The dynamical copolymer length N* showing the crossover to the strongly retarded dynamics is calculated. It is shown that contour-length fluctuations (internal reptation modes) give rise to a strong reduction of the slowdown effect and to a strong increase of N* which becomes unrealistically high in the case of a genuinely random chemical structure. The following scaling dependence of N* is predicted for irregular block copolymers: N* proportional, variant delta(-8)chi(-8)n(-8)(0)N(3)(e), where delta is the degree of block polydispersity, chi the Flory AB interaction parameter, and n(0) the mean block length. The strongest dynamical effect of AB interactions is predicted for correlated random copolymers near the critical point related to the formation of microdomain superstructures.
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Affiliation(s)
- A N Semenov
- Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
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Chrissopoulou K, Tselikas Y, Anastasiadis SH, Fytas G, Semenov AN, Fleischer G, Hadjichristidis N, Thomas EL. Macromolecular Architecture Effects on Block Copolymer Dynamics: Linear Tetrablocks and Inverse Starblocks. Macromolecules 1999. [DOI: 10.1021/ma9901083] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- K. Chrissopoulou
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, Heraklion Crete, Greece; Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece; Fakultät für Physik und Geowissenschaften, Universität Leipzig, D-04103 Leipzig, Germany; and Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
| | - Y. Tselikas
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, Heraklion Crete, Greece; Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece; Fakultät für Physik und Geowissenschaften, Universität Leipzig, D-04103 Leipzig, Germany; and Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
| | - S. H. Anastasiadis
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, Heraklion Crete, Greece; Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece; Fakultät für Physik und Geowissenschaften, Universität Leipzig, D-04103 Leipzig, Germany; and Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
| | - G. Fytas
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, Heraklion Crete, Greece; Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece; Fakultät für Physik und Geowissenschaften, Universität Leipzig, D-04103 Leipzig, Germany; and Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
| | - A. N. Semenov
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, Heraklion Crete, Greece; Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece; Fakultät für Physik und Geowissenschaften, Universität Leipzig, D-04103 Leipzig, Germany; and Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
| | - G. Fleischer
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, Heraklion Crete, Greece; Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece; Fakultät für Physik und Geowissenschaften, Universität Leipzig, D-04103 Leipzig, Germany; and Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
| | - N. Hadjichristidis
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, Heraklion Crete, Greece; Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece; Fakultät für Physik und Geowissenschaften, Universität Leipzig, D-04103 Leipzig, Germany; and Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
| | - E. L. Thomas
- Foundation for Research and TechnologyHellas, Institute of Electronic Structure and Laser, P.O. Box 1527, Heraklion Crete, Greece; Department of Chemistry, University of Athens, 157 01 Zografou Athens, Greece; Fakultät für Physik und Geowissenschaften, Universität Leipzig, D-04103 Leipzig, Germany; and Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
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Montes H, Monkenbusch M, Willner L, Rathgeber S, Fetters L, Richter D. Neutron spin echo investigation of the concentration fluctuation dynamics in melts of diblock copolymers. J Chem Phys 1999. [DOI: 10.1063/1.478891] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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