Green-Kubo Formalism for Lattice Gas Hydrodynamics and Monte-Carlo Evaluation of Shear Viscosities
Jean-Pierre Rivet
Observatoire de Nice,
BP 139, 06003 Nice Cedex, France
and
Ecole Normale Supérieure,
45 rue d'Ulm, 75230 Paris Cedex 05, France
Abstract
A Green-Kubo formula, relating the shear viscosity to discrete time correlation functions, is derived via a Liouville equation formalism for a class of non-deterministic lattice gas models. This allows a Monte-Carlo calculation of the viscosity. Preliminary results are presented for the Frisch-Hasslacher-Pomeau two-dimensional lattice gas model.
