A Model of Heat Conduction
arXiv:0804.3025 · doi:10.1007/s00220-008-0691-2
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.