Non-Gaussian distribution of displacements for Lennard-Jones particles in equilibrium

Abstract

Most meso-scale simulation methods assume Gaussian distributions of velocity-like quantities. These quantities are not true velocities, however, but rather time-averaged velocities or displacements of particles. We show that there is a large range of coarse-graining scales where the assumption of a Gaussian distribution of these displacements fails, and a more complex distribution is required to adequately express these distribution functions of displacements.

17 pages, 8 figures

References in corpus (1)

• Lattice Gas with Molecular Dynamics Collision Operator

Cited by in corpus (3)

• Molecular dynamics lattice gas equilibrium distribution function for Lennard-Jones particles
• Momentum fluctuations in coarse grained systems
• Molecular dynamics perspectives on nonideal fluid models for the lattice Boltzmann method