Renormalization of Lattice Gas Transport Coefficients
comp-gas
2008-02-03 v1 High Energy Physics - Lattice
Cellular Automata and Lattice Gases
Abstract
A method is described for calculating corrections to the Boltzmann/Chapman-Enskog analysis of lattice gases due to the buildup of correlations. It is shown that renormalized transport coefficients can be calculated perturbatively by summing terms in an infinite series. A diagrammatic notation for the terms in this series is given, in analogy with the Feynman diagrams of quantum field theory. This theory is applied to an example lattice gas and shown to correctly predict experimental deviation from the Boltzmann prediction.
Keywords
Cite
@article{arxiv.comp-gas/9411001,
title = {Renormalization of Lattice Gas Transport Coefficients},
author = {Bruce M. Boghosian and Washington Taylor},
journal= {arXiv preprint arXiv:comp-gas/9411001},
year = {2008}
}
Comments
12 pages, REVTeX