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arXiv · 1612.03379

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

Edson D. Leonel·Marcus Vinicius Camillo Galia·Luiz Antonio Barreiro·Diego F. M. Oliveira
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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.

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Edson D. Leonel, Marcus Vinicius Camillo Galia, Luiz Antonio Barreiro, Diego F. M. Oliveira. 2016-12-11. Thermodynamics of a time dependent and dissipative oval billiard: a heat transfer and billiard approach. https://doi.org/10.1103/physreve.94.062211

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