A Fluctuating Lattice Boltzmann Method for the Diffusion Equation
Computational Physics
2017-05-15 v1 Soft Condensed Matter
Abstract
We derive a fluctuating lattice Boltzmann method for the diffusion equation. The derivation removes several shortcomings of previous derivations for fluctuating lattice Boltzmann methods for hydrodynamic systems. The comparative simplicity of this diffusive system highlights the basic features of this first exact derivation of a fluctuating lattice Boltzmann method.
Cite
@article{arxiv.1606.07801,
title = {A Fluctuating Lattice Boltzmann Method for the Diffusion Equation},
author = {Alexander J. Wagner and Kyle Strand},
journal= {arXiv preprint arXiv:1606.07801},
year = {2017}
}
Comments
15 pages, 9 figures, submitted to PRE