Numerical Simulation of Brownian Motion of Multiple Particles Via a Fluctuating Lattice Boltzmann Model

Abstract

In this work the fluctuating lattice Boltzmann model was adopted to simulate the Brownian motion of multiple particles in two dimensions. The thermal equilibrium between the particles and the fluctuating fluid was evaluated. More importantly, both the translational and rotational velocity correlation functions (VCFs) were studied for different number of particles. It has been shown that the translational and rotational VCFs decay at t-1 and t-2 at long times, respectively, which the long time tails of Brownian particles are moving randomly in a fluid.