O. Benois, R. Esposito, R. Marra
Navier-Stokes limit for a thermal stochastic lattice gas
(479K, Postscript)

ABSTRACT.  We study a stochastic particle system on the lattice whose 
particles move freely according to simple exclusion process 
and change velocities during collisions preserving energy and 
momentum. In the hydrodynamic limit, under diffusive space-time 
scaling, the local velocity field $u$ satisfies the 
incompressible Navier-Stokes equation, while the temperature 
field $\t$ solves the heat equation with drift $u$. The results 
are also extended to include a suitably rescaled external force.