Thermal Rectification in Billiard-like Systems

Abstract

We study the thermal rectification phenomenon in ``billiard'' systems with interacting particles. This interaction induces a local dynamical response of the billiard to an external thermodynamic gradient. To explain this dynamical effect we study the steady state of an asymmetric billiard in terms of the particle and energy reflection coefficients. This allows us to obtain expressions for the region in parameter space where large thermal rectifications are expected. Our results are confirmed by extensive numerical simulations.

RevTex, 4 pages, 3 figures

References in corpus (8)

• Thermal conduction in classical low-dimensional lattices
• Thermal diode: Rectification of heat flux
• Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier
• Negative differential thermal resistance and thermal transistor
• Interface thermal resistance between dissimilar anharmonic lattice
• A spin-boson thermal rectifier
• Observation of coupled normal heat and matter transport in a simple model system
• Nonequilibrium Energy Profiles for a Class of 1-D Models

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