Stochastic Rotation Dynamics for Nematic Liquid Crystals

Abstract

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 Ericksen-Leslie formulation of nematodynamics. We verify the applicability of this hybrid model by studying the equilibrium isotropic-nematic phase transition and nonequilibrium problems, such as the dynamics of topological defects, and the rheology of sheared LCs. Our simulation results show that this hybrid model captures many essential aspects of LC physics at the mesoscopic scale, while preserving microscopic thermal fluctuations.

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Cited by in corpus (8)

• Fast, scalable, and interactive software for Landau-de Gennes numerical modeling of nematic topological defects
• Multi-Particle Collision Dynamics Algorithm for Nematic Fluids
• Multiparticle Collision Dynamics for Tensorial Nematodynamics
• Mesoscopic Simulations of Active-Nematics
• Hydrodynamic correlations in isotropic fluids and liquid crystals simulated by multi-particle collision dynamics
• Stochastic Rotation Dynamics simulations of wetting multi-phase flows
• Multiparticle Collision Dynamics for Ferrofluids
• Simulations of Three-dimensional Nematic Guidance of Microswimmers