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

Author(s)

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

• Document type: Journal article
• Source: PHYSICAL REVIEW E; v. 94, n. 6, p. 10-pg., 2016-12-19.

Abstract

We study some statistical properties for the behavior of the average squared velocity-hence the temperaturefor 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. (AU)

• FAPESP's process: 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems
• Grantee: Edson Denis Leonel
• Support Opportunities: Regular Research Grants