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Flows Excited by Shear Stress in Freestanding Symmetric Smectic C Films. Symmetry (Basel) 2022. [DOI: 10.3390/sym14050902] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
The purpose of this paper is to show some useful routes in describing the shear-driving flows in a freely suspended symmetric smectic C film stretched between two circular frames, the rest outer and rotating inner frames. Our calculations, based on a corresponding extension of the Eriksen–Leslie theory, show that the shear-driving flow in the film, excited by a rotating inner circular frame, causes a twisting rotation of the c^-director around the normal to smectic layers. It is found that the shear flow excited by the rotating frame in a positive sense (counterclockwise) causes a twisting rotation of the c^-director in a negative sense (clockwise) around the normal to smectic film. It is also shown that the twisting of the c^-director’s field has a jumping nature when a large reorientation is carried out in a short space of time. It was also shown that the twisting dynamics of the c^-director field strongly depends on the curvature of the inner rotating frame.
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de Oliveira EJL, de Melo DCS, Pereira MSS, Evangelista LR, de Oliveira IN. Surface and finite-size effects on N-Sm-A-Sm-C phase transitions in free-standing films. Phys Rev E 2020; 102:022702. [PMID: 32942489 DOI: 10.1103/physreve.102.022702] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/19/2020] [Accepted: 08/03/2020] [Indexed: 11/07/2022]
Abstract
The present study is devoted to the investigation of surface anchoring and finite-size effects on nematic-smectic-A-smectic-C (N-Sm-A-Sm-C) phase transitions in free-standing films. Using an extended version of the molecular theory for smectic-C liquid crystals, we analyze how surface anchoring and film thickness affect the thermal behavior of the order parameters in free-standing smectic films. In particular, we determine how the transition temperature depends on the surface ordering and film thickness. We show that the additional orientational order imposed by the surface anchoring may lead to a stabilization of order parameters in central layers, thus modifying the nature of the phase transitions. We compare our results with experimental findings for typical thermotropic compounds presenting a N-Sm-A-Sm-C phase sequence.
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Affiliation(s)
- E J L de Oliveira
- Instituto de Física, Universidade Federal de Alagoas 57072-970 Maceió-AL, Brazil
| | - D C S de Melo
- Instituto de Física, Universidade Federal de Alagoas 57072-970 Maceió-AL, Brazil
| | - Maria S S Pereira
- Instituto de Física, Universidade Federal de Alagoas 57072-970 Maceió-AL, Brazil
| | - L R Evangelista
- Departamento de Física, Universidade Estadual de Maringá 87020-900 Maringá-PR, Brazil
| | - I N de Oliveira
- Instituto de Física, Universidade Federal de Alagoas 57072-970 Maceió-AL, Brazil
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Abstract
The problem of predicting structural and dynamic behavior associated with thin smectic films, both deposited on a solid surface or stretched over an opening, when the temperature is slowly increased above the bulk transition temperature towards either the nematic or isotropic phases, remains an interesting one in the physics of condensed matter. A useful route in studies of structural and optical properties of thin smectic films is provided by a combination of statistical–mechanical theories, hydrodynamics of liquid crystal phases, and optical and calorimetric techniques. We believe that this review shows some useful routes not only for the further examining of the validity of a theoretical description of thin smectic films, both deposited on a solid surface or stretched over an opening, but also for analyzing their structural, optical, and dynamic properties.
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Chandran A, Khanna PK, Haranath D, Biradar AM. Interfacial behavior of confined mesogens at smectic-C*-water boundary. Phys Rev E 2018; 97:022701. [PMID: 29548088 DOI: 10.1103/physreve.97.022701] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2017] [Indexed: 11/07/2022]
Abstract
In this paper, we have investigated the behavior of mesogens at smectic-C*-water interface confined in a liquid crystal (LC) cell with interfacial geometry. Polarized optical microscopy was used to probe the appearance of various smectic-C* domain patterns at water interface owing to the reorientation of mesogens. The undulated stripe domains observed at the air interface of smectic-C* meniscus vanished as the water entered into the smectic layers and focal conical domain patterns appeared at smectic-C*-water boundary. A spatially variable electro-optical switching of LC molecules was also observed outside the electrode area of the interfacial cell. The electrode region at the interface, as well as on the water side, was damaged upon application of an electric field of magnitude more than 150 kV/m. The change in dielectric parameters of mesogens was extensively studied at interface after evaporating the water. These studies give fundamental insights into smectic-C*-water interface and also will be helpful in fabricating better LC devices for electro-optical and sensing applications.
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Affiliation(s)
- Achu Chandran
- Advanced Packaging Group, CSIR-Central Electronics Engineering Research Institute, Pilani 333031, India.,Academy of Scientific and Innovative Research, CSIR-National Physical Laboratory Campus, Dr. K. S. Krishnan Road, New Delhi 110012, India
| | - P K Khanna
- Advanced Packaging Group, CSIR-Central Electronics Engineering Research Institute, Pilani 333031, India
| | - D Haranath
- Academy of Scientific and Innovative Research, CSIR-National Physical Laboratory Campus, Dr. K. S. Krishnan Road, New Delhi 110012, India.,CSIR-National Physical Laboratory Campus, Dr. K. S. Krishnan Road, New Delhi 110012, India
| | - Ashok M Biradar
- Academy of Scientific and Innovative Research, CSIR-National Physical Laboratory Campus, Dr. K. S. Krishnan Road, New Delhi 110012, India.,CSIR-National Physical Laboratory Campus, Dr. K. S. Krishnan Road, New Delhi 110012, India
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Harth K, Shepherd LM, Honaker J, Stannarius R. Dynamic interface tension of a smectic liquid crystal in anionic surfactant solutions. Phys Chem Chem Phys 2015; 17:26198-206. [PMID: 26381458 DOI: 10.1039/c5cp04193g] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
Abstract
The interface tension of a smectic liquid crystal with respect to a surrounding ionic surfactant solution is investigated at concentrations above and below the critical micelle concentration (cmc). A simple measurement technique has been developed recently [Phys. Chem. Chem. Phys., 2013, 15, 7204], based on the geometrical analysis of the shape of smectic bubbles in water that are deformed by the buoyancy of trapped air bubbles. After preparation of the smectic membranes in the solution, we measure both the time dependence of their dynamic interface tension as well as the asymptotically reached static tension values. These are established about 15 minutes after the membrane preparation. At large enough concentrations of the surfactant (above the critical micelle concentration), the interface tension drops to 6 mN m(-1). At the lowest possible surfactant concentrations in our experiment, the equilibrium tension reaches 20 mN m(-1), which is almost equal to the smectic surface tension respective to air. The tension of a freshly drawn film exceeds this value by far.
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Affiliation(s)
- Kirsten Harth
- Institute of Experimental Physics, Otto von Guericke University Magdeburg, D-39106 Magdeburg, Germany.
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Zakharov AV, Vakulenko AA. Orientational relaxation in free-standing smectic C film driven by rotating circular frame. J Chem Phys 2015; 143:104902. [PMID: 26374057 DOI: 10.1063/1.4930085] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The pecularities in the cˆ-director reorientation in free-standing smectic C film without of defects and stretched between two circular frames, the rest outer and rotating inner, have been investigated theoretically based on the hydrodynamic theory including the cˆ-director motion and with accounting for backflow. Since the orientation of the cˆ-director is fixed at the rims of the smectic film, the shear flow induced by rotating frame winds up of the cˆ-director field. It is found that the higher shearing flow produces the greater twisting rotation of the cˆ-director around the normal to the smectic film directed in the opposite sense with respect to the direction of the angular velocity. Calculations also show that the relaxation dynamics of the cˆ-director field depends crucially on the curvature of the inner rotating frame.
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Affiliation(s)
- A V Zakharov
- Saint Petersburg Institute for Machine Sciences, The Russian Academy of Sciences, Saint Petersburg 199178, Russia
| | - A A Vakulenko
- Saint Petersburg Institute for Machine Sciences, The Russian Academy of Sciences, Saint Petersburg 199178, Russia
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Zakharov AV, Sliwa I. Squeezing-out dynamics in free-standing smectic films. J Chem Phys 2015; 142:214703. [PMID: 26049512 DOI: 10.1063/1.4921960] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We have carried out a theoretical study of the dynamics of the removal of one smectic layer from the N-layer free-standing smectic film during the layer-thinning process. Squeezing-out is initiated by a thermally activated nucleation process in which a density fluctuation forms a small hole. The dynamics of the bounding area during the layer-thinning transition N → N - 1, when the nucleation occurs in the center of the circular smectic film and the squeezed-out area increases up to the edge of the circular smectic area, is studied by the use of the conservation laws for mass and linear momentum. The disjoining pressure is the main factor that is responsible for the driving out of one smectic layer from the N-layer smectic film.
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Affiliation(s)
- A V Zakharov
- Saint Petersburg Institute for Machine Sciences, The Russian Academy of Sciences, Saint Petersburg 199178, Russia
| | - Izabela Sliwa
- Institute of Molecular Physics, Polish Academy of Sciences, Smoluchowskiego 17, 60-179 Poznaǹ, Poland
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`Sliwa I, Zakharov A. Surface tension, disjoining pressure and layer compression of free-standing smectic films in water. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2014.12.032] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Śliwa I, Zakharov AV. Transition Helmholtz free energy, entropy, and heat capacity of free-standing smectic films in water: a mean-field treatment. J Chem Phys 2014; 141:194706. [PMID: 25416904 DOI: 10.1063/1.4901926] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Using the extended McMillan's mean field approach with anisotropic forces a study of both the structural and thermodynamic properties of free-standing smectic film (FSSF) in water on heating to the isotropic temperature is carried out numerically. By solving the self-consistent nonlinear equations for the order parameters, we obtained that the smectic-A-isotropic (AI) transition occurs through the series of layer-thinning transitions causing the films to thin in the stepwise manner as the temperature is increased above the bulk smectic-A-isotropic temperature TAI(bulk). With enhanced pair interactions in the bounding layers, the smectic-isotropic transition corresponds to smectic melting of the central layers. The effects of surface "enhanced" pair interactions in the bounding layers and of film thickness on the orientational and translational order parameters, the Helmholtz free energy and entropy, as well as the temperature dependence of the heat capacity of FSSFs, have also been investigated. Reasonable agreement between the theoretically predicted and the experimentally obtained - by means of optical microscopy and ellipsometry techniques - data of the temperature when the thin decylcyanobiphenyl smectic film immersing in water ruptures has been obtained.
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Affiliation(s)
- Izabela Śliwa
- Institute of Molecular Physics, Polish Academy of Sciences, Smoluchowskiego 17, 60-179 Poznaǹ, Poland
| | - A V Zakharov
- Saint Petersburg Institute for Machine Sciences, The Russian Academy of Sciences, Saint Petersburg 199178, Russia
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Peddireddy K, Jampani VSR, Thutupalli S, Herminghaus S, Bahr C, Muševič I. Lasing and waveguiding in smectic A liquid crystal optical fibers. OPTICS EXPRESS 2013; 21:30233-30242. [PMID: 24514602 DOI: 10.1364/oe.21.030233] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
We demonstrate a new class of soft matter optical fibers, which are self-assembled in a form of smectic-A liquid crystal microtubes grown in an aqueous surfactant dispersion of a smectic-A liquid crystal. The diameter of the fibers is highly uniform and the fibers are highly birefringent. They are characterized by a line topological defect in the core of the fiber with an optical axis pointing from the defect core towards the surface. We demonstrate guiding of light along the fiber and Whispering Gallery Mode (WGM) lasing in a plane perpendicular to the fiber. The light guiding as well as the lasing threshold are significantly dependent on the polarization of the excitation beam. The observed threshold for WGM lasing is very low (≈ 75μJ/cm(2)) when the pump beam polarization is perpendicular to the direction of the laser dye alignment and is similar to the lasing threshold in nematic droplets. The smectic-A fibers are soft and flexible and can be manipulated with laser tweezers demonstrating a promising approach for realization of soft photonic circuits.
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Harth K, Stannarius R. Measurement of the interface tension of smectic membranes in water. Phys Chem Chem Phys 2013; 15:7204-9. [DOI: 10.1039/c3cp44055a] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Peddireddy K, Kumar P, Thutupalli S, Herminghaus S, Bahr C. Solubilization of thermotropic liquid crystal compounds in aqueous surfactant solutions. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2012; 28:12426-31. [PMID: 22799600 DOI: 10.1021/la3015817] [Citation(s) in RCA: 40] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
We study the micellar solubilization of three thermotropic liquid crystal compounds by immersing single drops in aqueous solutions of the ionic surfactant tetradecyltrimethylammonium bromide. For both nematic and isotropic drops, we observe a linear decrease of the drop size with time as well as convective flows and self-propelled motions. The solubilization is accompanied by the appearance of small aqueous droplets within the nematic or isotropic drop. At low temperatures, nematic drops expell small nematic droplets into the aqueous environment. Smectic drops show the spontaneous formation of filament-like structures which resemble the myelin figures observed in lyotropic lamellar systems. In all cases, the liquid crystal drops become completely solubilized, provided the weight fraction of the liquid crystal in the system is not larger than a few percent. The solubilization of the liquid crystal drops is compared with earlier studies of the solubilization of alkanes in ionic surfactant solutions.
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Affiliation(s)
- Karthik Peddireddy
- Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Goettingen, Germany
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