Thermodynamics of a time dependent and dissipative oval billiard: a heat transfer and billiard approach

Abstract

We study some statistical properties for the behavior of the average squared velocity -- hence the temperature -- for an ensemble of classical particles moving in a billiard whose boundary is time dependent. We assume the collisions of the particles with the boundary of the billiard are inelastic leading the average squared velocity to reach a steady state dynamics for large enough time. The description of the stationary state is made by using two different approaches: (i) heat transfer motivated by the Fourier law and, (ii) billiard dynamics using either numerical simulations and theoretical description.

arXiv commentPublished -Physical Review E, 2016

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• Dynamical thermalization in time-dependent Billiards
• Discussing a transition from bounded to unbounded energy in a time-dependent billiard
• Symmetry breaking in time-dependent billiards