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Related papers: Isotropic-Nematic Transition in Liquid-Crystalline…

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In liquid-crystalline elastomers, the nematic order parameter and the induced strain vary smoothly across the isotropic-nematic transition, without the expected first-order discontinuity. To investigate this smooth variation, we measure the…

Soft Condensed Matter · Physics 2009-11-07 J. V. Selinger , H. G. Jeon , B. R. Ratna

We investigate Isotropic - Nematic transition in liquid crystal elastomers employing non-Boltzmann Monte Carlo techniques. We consider a lattice model of a liquid elastomer and Selinger-Jeon-Ratna Hamiltonian which accounts for…

Soft Condensed Matter · Physics 2007-05-23 D. Jayasri , N. Satyavathi , V. S. S. Sastry , K. P. N. Murthy

When liquid-crystal elastomers are prepared without any alignment, disordered polydomain structures emerge as the materials are cooled into the nematic phase. These polydomain structures have been attributed to quenched disorder in the…

Soft Condensed Matter · Physics 2015-11-04 Ayhan Duzgun , Jonathan V. Selinger

We present Monte Carlo simulations on a lattice system that displays a first order phase transition between a disordered phase (liquid) and an ordered phase (crystal). The model is augmented by an interaction that simulates the effect of…

Statistical Mechanics · Physics 2007-05-23 Alessandro Attanasi , Andrea Cavagna , Jose' Lorenzana

Liquid crystal elastomers realize a fascinating new form of soft matter that is a composite of a conventional crosslinked polymer gel (rubber) and a liquid crystal. These {\em solid} liquid crystal amalgams, quite similarly to their…

Soft Condensed Matter · Physics 2009-09-29 Xiangjun Xing , Leo Radzihovsky

We study the kinetics of the nematic-isotropic transition in a two-dimensional liquid crystal by using a lattice Boltzmann scheme that couples the tensor order parameter and the flow consistently. Unlike in previous studies, we find the…

Soft Condensed Matter · Physics 2009-11-07 Colin Denniston , Enzo Orlandini , J. M. Yeomans

We demonstrate that a first order isotropic-to-nematic phase transition in liquid crystals can be succesfully modeled within the generalized Landau-de Gennes theory by selecting an appropriate combination of elastic constants. The numerical…

Soft Condensed Matter · Physics 2019-02-19 Dmitry Golovaty , Young-Ki Kim , Oleg D. Lavrentovich , Michael Novack , Peter Sternberg

In vivo and in vitro systems of cells and extra-cellular matrix (ECM) systems are well known to form ordered patterns of orientationally aligned fibers. Here, we interpret them as active analogs of the (disordered) isotropic to the…

Soft Condensed Matter · Physics 2025-04-11 Haiqian Yang , Ming Guo , L. Mahadevan

Liquid crystal elastomers are cross-linked polymer networks covalently bonded with liquid crystal mesogens. In the nematic phase, due to strong coupling between mechanical strain and orientational order, these materials display…

Soft Condensed Matter · Physics 2011-11-04 Badel L. Mbanga , Fangfu Ye , Jonathan V. Selinger , Robin L. B. Selinger

We introduce a simple mean-field lattice model to describe the behavior of nematic elastomers. This model combines the Maier-Saupe-Zwanzig approach to liquid crystals and an extension to lattice systems of the Warner-Terentjev theory of…

Statistical Mechanics · Physics 2012-05-22 D. B. Liarte , C. S. O. Yokoi , S. R. Salinas

Elastic effects in a model of disordered nematic elastomers are numerically investigated in two dimensions. Networks crosslinked in the isotropic phase exhibit unusual soft mechanical response against stretching. It arises from gradual…

Soft Condensed Matter · Physics 2009-10-31 Nariya Uchida

Randomly disordered (polydomain) liquid crystalline elastomers align under stress. We study the dynamics of stress relaxation before, during and after the Polydomain-Monodomain transition. The results for different materials show the…

Soft Condensed Matter · Physics 2016-08-31 S. M. Clarke , E. M. Terentjev

Nematic elastomers do not show the discontinuous, first-order, phase transition that the Landau-De Gennes mean field theory predicts for a quadrupolar ordering in 3D. We attribute this behavior to the presence of network crosslinks, which…

Soft Condensed Matter · Physics 2009-11-11 L. Petridis , E. M. Terentjev

We model polydomain liquid-crystal elastomers by extending the neo-classical soft and semi-soft free energies used successfully to describe monodomain samples. We show that there is a significant difference between polydomains cross-linked…

Soft Condensed Matter · Physics 2014-07-09 J. S. Biggins , M. Warner , K. Bhattacharya

We present the general theory of Ising transitions in isotropic elastic media with vanishing thermal expansion. By constructing a minimal model with appropriate spin-lattice couplings, we show that in two dimensions near a continuous…

Statistical Mechanics · Physics 2023-01-03 Sudip Mukherjee , Abhik Basu

Modeling liquid crystal elastomers (LCEs) at the molecular level is crucial for the predictable design of energy-conversion and stimuli-responsive materials. Here, we develop a self-consistent field theory for LCEs which captures the…

Soft Condensed Matter · Physics 2023-10-05 Luofu Liu , Rui Wang

In this article, we construct and analyze models of anisotropic crosslinked polymers employing tools from the theory of liquid crystal elastomers. The anisotropy of these systems stems from the presence of rigid-rod molecular units in the…

Analysis of PDEs · Mathematics 2013-03-26 M. Carme Calderer , Carlos A. Garavito , Chong Luo

We address the physics of nematic liquid crystalline elastomers randomly crosslinked in the isotropic state. To do this, we construct a phenomenological effective replica Hamiltonian in terms of two order-parameter fields: one for the…

Soft Condensed Matter · Physics 2011-01-10 Bing-Sui Lu , Fangfu Ye , Xiangjun Xing , Paul M. Goldbart

Using grand canonical Monte Carlo (GCMC) simulations, we investigate the isotropic-nematic phase transition for hard rods of size Lx1x1 on a 3D cubic lattice. We observe such a transition for L >= 6. For L = 6, the nematic state has a…

Soft Condensed Matter · Physics 2017-08-02 A. Gschwind , M. Klopotek , Y. Ai , M. Oettel

Liquid crystal elastomers present a rich combination of effects associated with orientational symmetry breaking and the underlying rubber elasticity. In this work we focus on the effect of the network on the nematic--smectic-{\sl A}…

Condensed Matter · Physics 2009-10-28 Peter D. Olmsted , Eugene M. Terentjev
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