Thermal Rectification in Billiard-like Systems
Jean-Pierre Eckmann, Carlos Mejia-Monasterio

TL;DR
This paper investigates thermal rectification in billiard systems with interacting particles, explaining the phenomenon through dynamical response and reflection coefficients, supported by numerical simulations.
Contribution
It introduces a new approach to understanding thermal rectification in billiard systems using reflection coefficients and dynamical response analysis.
Findings
Large thermal rectifications are predicted in certain parameter regions.
Numerical simulations confirm the theoretical predictions.
The study links particle interactions to thermal response in billiard 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.
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