Novel Monte Carlo approach to the dynamics of fluids: Single-particle diffusion, correlation functions, and phase ordering of binary fluids

Abstract

We propose a new Monte Carlo scheme to study the latetime dynamics of a 2-dim hard sphere fluid, modeled by a tethered network of hard spheres. Fluidity is simulated by breaking and reattaching the flexible tethers. We study the diffusion of a tagged particle, and show that the velocity autocorrelation function has a long-time t^-1 tail. We investigate the dynamics of phase separation of a binary fluid at late times, and show that the domain size R(t) grows as t^1/2 for high viscosity fluids with a crossover to t^2/3 for low viscosity fluids. Our scheme can accomodate particles interacting with a pair potential V (r), and modified to study dynamics of fluids in three dimensions.