| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758166 | Communications in Nonlinear Science and Numerical Simulation | 2015 | 15 Pages |
•Thermodynamical description of particles in a dissipative bouncer model.•Scaling laws for a bouncer model.•Comparisons of numerical results with theoretical predictions.
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.
