Integer Lattice Gas with a sampling collision operator for the fluctuating Diffusion Equation

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.

10 Pages, 5 Figures

References in corpus (1)

• Lattice Gas with Molecular Dynamics Collision Operator

Cited by in corpus (4)

• Over-Relaxation in Diffusive Integer Lattice Gas
• Adaptive Lattice Gas Algorithm: Classical and Quantum implementations
• Float Lattice Gas Automata: A connection between Molecular Dynamics and Lattice Boltzmann Method for quantum computers
• Integer Lattice Gas with a sampling collision operator for the fluctuating Navier-Stokes Equation