Thermodynamics of a bouncer model: a simplified one-dimensional gas
Chaotic Dynamics
2015-06-19 v1 Statistical Mechanics
Abstract
Some dynamical properties of non interacting particles in a bouncer model are described. They move under gravity experiencing collisions with a moving platform. The evolution to steady state is described in two cases for dissipative dynamics with inelastic collisions: (i) for large initial energy; (ii) for low initial energy. For (i) we prove an exponential decay while for (ii) a power law marked by a changeover to the steady state is observed. A relation for collisions and time is obtained and allows us to write relevant observables as temperature and entropy as function of either number of collisions and time.
Cite
@article{arxiv.1405.2030,
title = {Thermodynamics of a bouncer model: a simplified one-dimensional gas},
author = {Edson D. Leonel and André L. P. Livorati},
journal= {arXiv preprint arXiv:1405.2030},
year = {2015}
}
Comments
36 pages, 10 figures. To appear in: Communications in Nonlinear Science and Numerical Simulation, 2014