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We carry out Monte Carlo simulations to investigate the effect of molecular shape on liquid-crystal order. In our approach, each model mesogen consists of several soft spheres bonded rigidly together. The arrangement of the spheres may be…

Soft Condensed Matter · Physics 2009-11-07 J. Xu , R. L. B. Selinger , J. V. Selinger , R. Shashidhar

This paper complements a previous study of the isotropic and nematic phases of the Gay-Berne liquid-crystal model [Mehri et al., Phys. Rev. E 105, 064703 (2022)] with a study of its smectic B phase found at high density and low…

Soft Condensed Matter · Physics 2023-12-12 Saeed Mehri , Jeppe C. Dyre , Trond S. Ingebrigtsen

A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of three basic state variables: the {\it absolute temperature} $\teta$, the {\it velocity field} $\ub$, and the {\it director…

Analysis of PDEs · Mathematics 2015-05-14 E. Feireisl , E. Rocca , G. Schimperna

A systematic method to obtain strong coupling expansions for scattering quantities in Hamiltonian lattice field theories is presented. I develop the conceptual ideas by means of the Hamiltonian field theory analogue of the Ising model, in…

High Energy Physics - Lattice · Physics 2009-10-22 Bernd Dahmen

We present a high accuracy Monte Carlo simulation study of the Isotropic - Nematic phase transition of a lattice dispersion model of biaxial liquid crystals. The NI coexistence curve terminating at the Landau critical point have been…

Soft Condensed Matter · Physics 2019-02-20 Nababrata Ghoshal , Soumyajit Pramanick , Sudeshna DasGupta , Soumen Kumar Roy

We present computer simulations of long thin hard spherocylinders in a narrow planar slit. We observe a transition from the isotropic to a nematic phase with quasi-long-range orientational order upon increasing the density. This phase…

Soft Condensed Matter · Physics 2009-11-10 Marco Cosentino Lagomarsino , Marjolein Dijkstra , Marileen Dogterom

We present a thermodynamically consistent theoretical framework for lyotropic liquid crystals (LCs) based on the GENERIC (General Equation for the Non-Equilibrium Reversible-Irreversible Coupling) formalism. This formalism ensures…

Soft Condensed Matter · Physics 2025-12-03 Jonathan Salmerón-Hernández , Pablo Zubieta-Rico , Juan de Pablo

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

This work builds on an existing model of discrete canonical evolution and applies it to the general case of a linear dynamical system, i.e., a finite-dimensional system with configuration space isomorphic to $ \mathbb{R}^{q} $ and linear…

Mathematical Physics · Physics 2021-06-30 Jakub Káninský

We study the time evolution of thermodynamic observables that characterise the dissipative nature of thermal relaxation after an instantaneous temperature quench. Combining tools from stochastic thermodynamics and large-deviation theory, we…

Statistical Mechanics · Physics 2023-03-06 Jan Meibohm , Massimiliano Esposito

Thermotropic biaxial nematic phases seem to be rare, but biaxial smectic A phases less so. Here we use molecular field theory to study a simple two-parameter model, with one parameter promoting a biaxial phase and the second promoting…

Soft Condensed Matter · Physics 2021-05-24 Tung B. T. To , Timothy J. Sluckin , Geoffrey R. Luckhurst

This article presents a phenomenological dynamic phase transition theory -- modeling and analysis -- for superfluids. As we know, although the time-dependent Ginzburg-Landau model has been successfully used in superconductivity, and the…

Statistical Mechanics · Physics 2009-03-12 Tian Ma , Shouhong Wang

We present large scale computer simulations of the nonlinear bulk rheology of lamellar phases (smectic liquid crystals) at moderate to large values of the shear rate (Peclet numbers 10-100), in both two and three dimensions. In two…

Soft Condensed Matter · Physics 2012-03-15 O. Henrich , K. Stratford , D. Marenduzzo , P. V. Coveney , M. E. Cates

The smooth piecewise-linear models cover a wide range of applications nowadays. Basically, there are two classes of them: models are transitional or hyperbolic according to their behaviour at the phase-transition zones. This study explored…

Methodology · Statistics 2020-11-17 Ferreira , Iuri Emmanuel de Paula , Zocchi , Silvio Sandoval

We propose a simple surface potential favoring the planar degenerate anchoring of nematic liquid crystals, i.e., the tendency of the molecules to align parallel to one another along any direction parallel to the surface. We show that, at…

Soft Condensed Matter · Physics 2007-05-23 Jean-Baptiste Fournier , Paolo Galatola

Starting from an ideal crystalline state, we numerically study a nonequilibrium dynamical order- disorder transition promoted by the application of a periodic shearing protocol at low temperatures in model systems in two and three…

Soft Condensed Matter · Physics 2021-08-10 Eric Brillaux , Francesco Turci

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior and universality for the isotropic-nematic phase transition in a system of long straight rigid rods of length $k$ ($k$-mers) on…

Statistical Mechanics · Physics 2009-11-13 D. A. Matoz-Fernandez , D. H. Linares , A. J. Ramirez-Pastor

Smectic liquid crystals are charcterized by layers that have a preferred uniform spacing and vanishing curvature in their ground state. Dislocations in the smectics play an important role in phase nucleation, layer reorientation, and…

Soft Condensed Matter · Physics 2017-06-28 Hillel Aharoni , Thomas Machon , Randall D. Kamien

Experiments and theory have shown that cell monolayers and epithelial tissues exhibit solid-liquid and glass-liquid transitions. These transitions are biologically relevant to our understanding of embryonic development, wound healing, and…

Soft Condensed Matter · Physics 2020-07-22 Benjamin Loewe , Michael Chiang , Davide Marenduzzo , M. Cristina Marchetti

The optical birefringence of rod-like nematogens (7CB, 8CB), imbibed in parallel silica channels with 10 nm diameter and 300 micrometer length, is measured and compared to the thermotropic bulk behavior. The orientational order of the…

Soft Condensed Matter · Physics 2016-09-08 Andriy V. Kityk , Matthias Wolff , Klaus Knorr , Denis Morineau , Ronan Lefort , Patrick Huber
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