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.

Published -Physical Review E, 2016

References in corpus (2)

• Dynamical tunneling in mushroom billiards
• Fine structure of distributions and central limit theorem in diffusive billiards