A Model of Heat Conduction

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.

References in corpus (2)

• Nonequilibrium Energy Profiles for a Class of 1-D Models
• Memory Effects in Nonequilibrium Transport for Deterministic Hamiltonian Systems

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• Sub-exponential mixing of random billiards driven by thermostats
• Dissipation and Entropy Production in Deterministic Heat Conduction of Quasi-one-dimensional Systems
• Sub-exponential mixing of open systems with particle-disk interactions
• Rattling and freezing in a 1-D transport model
• Entropy Production in Random Billiards
• Ergodicity of some open systems with particle-disk interactions
• Transport in partially hyperbolic fast-slow systems
• Ergodic properties of random billiards driven by thermostats