Integer lattice gas with a sampling collision operator for the fluctuating diffusion equation Article Swipe

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Noah Seekins , Alexander J. Wagner ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.1103/physreve.105.035303 · OA: W3164847713

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 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.