Pierre Collet, Jean-Pierre Eckmann
A Model of Heat Conduction
(225K, pdf)

ABSTRACT.  We define a deterministic ``scattering'' model for heat conduction 
which is continuous in space, and which has a Boltzmann type 
flavor, obtained by a closure based on memory loss between 
collisions. We prove that this model has, for stochastic driving 
forces at the boundary, close to Maxwellians, a unique non-equilibrium 
steady state.