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Thermodynamics of a time-dependent and dissipative oval billiard: A heat transfer and billiard approach
Edson D Leonel1, Marcus Vinícius Camillo Galia2, Luiz Antonio Barreiro2
1Departamento de Física, UNESP-University Estadual Paulista-Avenue 24A, 1515-Bela Vista-13506-900-Rio Claro-SP, Brazil and Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy.
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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