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We present a large-scale molecular dynamics study of nematic-paranematic interfaces under shear. We use a model of soft repulsive ellipsoidal particles with well-known equilibrium properties, and consider interfaces which are oriented…

Soft Condensed Matter · Physics 2013-03-19 Guido Germano , Friederike Schmid

We are concerned with the sharp interface limit for the Beris-Edward system in a bounded domain $\Omega \subset \mathbb{R}^3$ in this paper. The system can be described as the incompressible Navier-Stokes equations coupled with an evolution…

Analysis of PDEs · Mathematics 2024-01-31 Xiangxiang Su

Within the framework of Landau-de Gennes theory for nematic liquid crystals, we study the temperature-induced isotropic-nematic phase transition on a spherical shell. Below a critical temperature, a thin layer of nematic coating a…

Soft Condensed Matter · Physics 2021-08-11 Gaetano Napoli , Luigi Vergori

We present large-scale molecular dynamics simulations of a nematic-isotropic interface in a system of repulsive ellipsoidal molecules, focusing in particular on the capillary wave fluctuations of the interfacial position. The interface…

Statistical Mechanics · Physics 2009-11-07 N. Akino , F. Schmid , M. P. Allen

We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and the subsequent evolution proceeds via diffusive motion of the orientational…

Mathematical Physics · Physics 2014-03-04 Ibrahim Fatkullin , Valeriy Slastikov

We introduce a new mesoscopic model for nematic liquid crystals (LCs). We extend the particle-based stochastic rotation dynamics method, which reproduces the Navier-Stokes equation, to anisotropic fluids by including a simplified…

Soft Condensed Matter · Physics 2015-05-20 Kuang-Wu Lee , Marco G. Mazza

Soft modulated phases have been shown to undergo complex morphological transitions, in which layer remodeling induced by mean and Gaussian curvatures plays a major role. This is the case in smectic films under thermal treatment, where focal…

Soft Condensed Matter · Physics 2020-08-03 Eduardo Vitral , Perry H. Leo , Jorge Viñals

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The…

Statistical Mechanics · Physics 2007-05-23 Bertrand Berche , Ricardo Paredes

Based on the thermodynamic variation, we rigorously derive the sharp-interface model for solid-state dewetting on a flat substrate in the form of cylindrical symmetry. The governing equations for the model belong to fourth-order geometric…

Materials Science · Physics 2018-05-22 Quan Zhao

A theoretical study is presented of surface waves at a monomolecular surfactant film between an isotropic liquid and a nematic liquid crystal for the case when the surfactant film is in the isotropic two-dimensional fluid phase and induces…

Soft Condensed Matter · Physics 2008-04-15 S. V. Lishchuk

Mixtures of nematic liquid crystals and isotropic fluids display a diverse range of phase behaviors, arising from the coupling between orientational order and concentration fluctuations. In this review, we introduce a simplified…

Soft Condensed Matter · Physics 2026-04-13 Margarida M. Telo da Gama , Rodrigo C. V. Coelho

We study the linear stability of an isotropic active fluid in three different geometries: a film of active fluid on a rigid substrate, a cylindrical thread of fluid, and a spherical fluid droplet. The active fluid is modeled by the…

Soft Condensed Matter · Physics 2019-07-22 Harsh Soni , Wan Luo , Robert A. Pelcovits , Thomas Powers

The use of continuum phase-field models to describe the motion of well-defined interfaces is discussed for a class of phenomena, that includes order/disorder transitions, spinodal decomposition and Ostwald ripening, dendritic growth, and…

Soft Condensed Matter · Physics 2009-10-31 K. R. Elder , Martin Grant , Nikolas Provatas , J. M. Kosterlitz

Instabilities of fluid-fluid interfaces are ubiquitous in passive soft matter. Adding activity to the interface or either fluid can dramatically change the stability of the interface. Using experiment and theory, we investigate the…

Soft Condensed Matter · Physics 2026-02-04 Bennett C. Sessa , Federico Cao , Robert A. Pelcovits , Thomas R. Powers , Guillaume Duclos

When captured by a flat nematic-isotropic interface, colloidal particles can be dragged by it. As a result spatially periodic structures may appear, with the period depending on a particle mass, size, and interface…

Soft Condensed Matter · Physics 2009-11-11 J. L. West , K. Zhang , A. Glushchenko , D. Andrienko , M. Tasinkevych , Y. Reznikov

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

In this work, we first propose a diffuse interface model for simulating N phase flows with solid liquid phase change. In this model, a phase field approach is adopted to capture multiphase fluid interfaces, and an enthalpy based formulation…

Fluid Dynamics · Physics 2026-03-25 Jiangxu Huang , Chengjie Zhan , Zhenhua Chai , Changsheng Huang , Xi Liu

We perform dynamical simulations of a two-dimensional active nematic fluid in coexistence with an isotropic fluid. Drops of active nematic become elongated, and an effective anchoring develops at the nematic-isotropic interface. The…

Soft Condensed Matter · Physics 2014-12-17 Matthew L. Blow , Sumesh P. Thampi , Julia M. Yeomans

The wetting dynamics of liquid particles, from coated droplets to soft capsules, holds significant technological interest. Motivated by the need to simulate liquid metal droplet with an oxidize surface layer, in this work we introduce a…

Fluid Dynamics · Physics 2024-02-14 Francesca Pelusi , Fabio Guglietta , Marcello Sega , Othmane Aouane , Jens Harting

We propose a sharp interface model for simulating solid-state dewetting where the surface energy is (weakly) anisotropic. The morphology evolution of thin films is governed by surface diffusion and contact line migration. The mathematical…

Materials Science · Physics 2015-06-22 Yan Wang , Wei Jiang , Weizhu Bao , Dave J. Srolovitz