Integer Lattice Gas with a sampling collision operator for the fluctuating Diffusion Equation
Fluid Dynamics
2022-04-06 v1 Soft Condensed Matter
Abstract
We developed an integer lattice gas method for the fluctuating diffusion equation. Such a method is unconditionally stable and able to recover the Poisson distribution for the microscopic densities. A key advance for integer lattice gases introduced in this paper is a new sampling collision operator that replaces particle collisions with sampling from an equilibrium distribution. This can increase the efficiency of our integer lattice gas by several orders of magnitude.
Cite
@article{arxiv.2105.13104,
title = {Integer Lattice Gas with a sampling collision operator for the fluctuating Diffusion Equation},
author = {Noah Seekins and Alexander J. Wagner},
journal= {arXiv preprint arXiv:2105.13104},
year = {2022}
}
Comments
10 Pages, 5 Figures