English

Lattice Boltzmann-Langevin Equations

comp-gas 2008-02-03 v1 Cellular Automata and Lattice Gases

Abstract

Intrinsic fluctuations around the solution of the lattice Boltzmann equation are described or modeled by addition of a white Gaussian noise source. For stationary states a fluctuation-dissipation theorem relates the variance of the fluctuations to the linearized Boltzmann collision operator and the pair correlation function.

Keywords

Cite

@article{arxiv.comp-gas/9308002,
  title  = {Lattice Boltzmann-Langevin Equations},
  author = {J. W. Dufty and M. H. Ernst},
  journal= {arXiv preprint arXiv:comp-gas/9308002},
  year   = {2008}
}

Comments

10 pages, Latex, no figures

R2 v1 2026-07-22T09:59:03.252Z