2016/02/22 by Marcus Vinicius Camillo Galia, Marcus Vinícius Camillo Galia, Galia, Marcus Vinicius Camillo +4
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #nlin.CD
paper · pdf · doi:10.48550/arxiv.1602.06842
arxiv created 2016/02/22 · openalex publication_date 2016/02/22 · arxiv updated 2016/02/23 · openalex created_date 2022/08/22 · openalex updated_date 2026/07/28
We study the convergence towards the equilibrium for a dissipative and stochastic time-dependent oval billiard. The dynamics of the system is described by using a generic four dimensional nonlinear map for the variables: the angular position of the particle, the angle formed by the trajectory of the article with the tangent line at the position of the collision, the absolute velocity of the particle, and the instant of the hit with the boundary. The dynamics of the stationary state as well as the dynamical evolution towards the equilibrium is made by using an ensemble of non interacting particles. Finally, we make a connection with the thermodynamic by using the energy equipartition theorem.