A Model of Heat Conduction
Mathematical Physics
2009-11-13 v1 Statistical Mechanics
math.MP
Chaotic Dynamics
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.
Cite
@article{arxiv.0804.3025,
title = {A Model of Heat Conduction},
author = {Pierre Collet and Jean-Pierre Eckmann},
journal= {arXiv preprint arXiv:0804.3025},
year = {2009}
}