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Electronic nematicity in iron pnictide materials is coupled to both the lattice and the conducting electrons, which allows both structural and transport observables to probe nematic fluctuations and the order parameter. Here we combine…

Strongly Correlated Electrons · Physics 2021-11-10 Joshua J Sanchez , Paul Malinowski , Joshua Mutch , Jian Liu , J-W. Kim , Philip J Ryan , Jiun-Haw Chu

Polyhedral nematics are examples of exotic orientational phases that possess a complex internal symmetry, representing highly non-trivial ways of rotational symmetry breaking, and are subject to current experimental pursuits in colloidal…

Statistical Mechanics · Physics 2018-01-29 Ke Liu , Jonas Greitemann , Lode Pollet

We derive a multiphysics model that accounts for network elasticity with spontaneous strains, swelling and nematic interactions in liquid crystal gels (LCGs). We discuss the coupling among the various physical mechanisms, with particular…

Soft Condensed Matter · Physics 2018-11-28 Alessandro Lucantonio , Antonio DeSimone

Properties of disordered nematic elastomers and gels are theoretically investigated with emphasis on the roles of non-local elastic interactions and crosslinking conditions. Networks originally crosslinked in the isotropic phase lose their…

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

We analyze the phase behavior of lyotropic nematic liquid crystals in the self-organizing flow, viz. so called active nematics (AN). Their elastic properties are mutually caused by evolution of topological defects (for instance,…

Soft Condensed Matter · Physics 2018-02-20 L. V. Elnikova

We present a unified formulation of a rotationally invariant nonlinear elasticity for a variety of spontaneously anisotropic phases, and use it to study thermal fluctuations in nematic elastomers and spontaneously anisotropic gels. We find…

Soft Condensed Matter · Physics 2009-11-07 Xiangjun Xing , Leo Radzihovsky

We study the low-frequency, long-wavelength dynamics of soft and semi-soft nematic elastomers using two different but related dynamic theories. Our first formulation describes the pure hydrodynamic behavior of nematic elastomers in which…

Soft Condensed Matter · Physics 2009-11-10 Olaf Stenull , T. C. Lubensky

We consider the elastic theory for Ising transitions in an isotropic elastic medium in the zero thermal expansion (ZTE) limit. We use this theory to study the nature of the fluctuations in the system near the second phase transitions at…

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

In this paper, we speculate on a possible application of Liquid Crystal Elastomers to the field of soft robotics. In particular, we study a concept for limbless locomotion that is amenable to miniaturisation. For this purpose, we formulate…

Soft Condensed Matter · Physics 2016-02-09 Antonio DeSimone , Paolo Gidoni , Giovanni Noselli

Polydomain liquid crystalline (nematic) elastomers have highly unusual mechanical properties, dominated by the dramatically non-linear stress-strain response that reflects stress-induced evolution of domain patterns. Here, we study the…

Soft Condensed Matter · Physics 2023-05-02 Ameneh Maghsoodi , Mohand O. Saed , Eugene M. Terentjev , Kaushik Bhattacharya

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

We propose a lattice model to simulate the influence of porous medium on the Nematic - Isotropic transition of liquid crystal confined to the pores. The effects of pore size and pore connectivity are modelled through a disorder parameter.…

Statistical Mechanics · Physics 2009-11-07 K. Venu , V. S. S. Sastri , K. P. N. Murthy

We aimed to use finite element method to simulate the unique behaviors of liquid crystal elastomer, such as semi-soft elasticity, stripe domain instabilities etc. We started from an energy functional with the 2D Bladon-Warner-Terentjev…

Numerical Analysis · Mathematics 2010-09-10 Chong Luo , Maria-Carme Calderer

We develop a Landau theory for bend flexoelectricity in liquid crystals of bent-core molecules. In the nematic phase of the model, the bend flexoelectric coefficient increases as we reduce the temperature toward the nematic to polar phase…

Soft Condensed Matter · Physics 2013-05-28 Shaikh M. Shamid , Subas Dhakal , Jonathan V. Selinger

Using the Landau-de Gennes theory, the temperature, pressure and frequency dependence of the non-linear effect in the isotropic phase above the isotropic-cholesteric phase transition is calculated. The influence of pressure on the…

Materials Science · Physics 2015-06-03 Prabir. K. Mukherjee , Sumanta Chakraborty , Sylwester J. Rzoska

Strain-based theory on elastic instabilities is being widely employed for studying onset of plasticity, phase transition or melting in crystals. And size effects, observed in nano-materials or solids under dynamic loadings, needs to account…

Materials Science · Physics 2017-07-20 Kun Wang , Jun Chen , Wenjun Zhu , Meizhen Xiang

In liquid crystal elastomers, the orientational order of liquid crystals is coupled with elastic distortions of crosslinked polymer networks. Previous theoretical research has described these materials through two different approaches: a…

Soft Condensed Matter · Physics 2018-06-21 Thanh-Son Nguyen , Jonathan V. Selinger

An extension to a high-order model for the direct isotropic/smectic-A liquid crystalline phase transition was derived to take into account thermal effects including anisotropic thermal diffusion and latent heat of phase-ordering.…

Soft Condensed Matter · Physics 2009-09-29 Nasser Mohieddin Abukhdeir , Alejandro D. Rey

We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified…

Statistical Mechanics · Physics 2011-09-28 Daniel G. Barci , Daniel A. Stariolo

Isotropic-genesis nematic elastomers (IGNEs) are liquid crystalline polymers (LCPs) that have been randomly, permanently cross-linked in the high-temperature state so as to form an equilibrium random solid. Thus, instead of being free to…

Soft Condensed Matter · Physics 2015-06-15 Bing-Sui Lu , Fangfu Ye , Xiangjun Xing , Paul M. Goldbart