title: 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.
authors.affiliation: Departamento 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.
authors.forename: Edson D
authors.initials: ED
authors.lastname: Leonel
authors.affiliation: Departamento de Física, UNESP-University Estadual Paulista-Avenue 24A, 1515-Bela Vista-13506-900-Rio Claro-SP, Brazil.
authors.forename: Marcus Vinícius Camillo
authors.initials: MV
authors.lastname: Galia
authors.affiliation: Departamento de Física, UNESP-University Estadual Paulista-Avenue 24A, 1515-Bela Vista-13506-900-Rio Claro-SP, Brazil.
authors.forename: Luiz Antonio
authors.initials: LA
authors.lastname: Barreiro
authors.affiliation: Center for Complex Networks and Systems Research, School of Informatics and Computing, Indiana University, Bloomington, Indiana, USA; Department of Chemical and Biological Engineering, Northwestern University, Evanston, Illinois 60208, USA; and Northwestern Institute on Complex Systems (NICO), Northwestern University, Evanston, Illinois 60208, USA.
authors.forename: Diego F M
authors.initials: DF
authors.lastname: Oliveira