A Model of Heat Conduction

Details A Model of Heat Conduction A Model of Heat Conduction

2008-04-18

arxiv.org/abs/0804.3025v1

Physics

Mathematical Physics

Scientific paper

10.1007/s00220-008-0691-2

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.

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