Breaking down the Fermi acceleration with inelastic collisions

Details Breaking down the Fermi acceleration with inelastic collisions Breaking down the Fermi acceleration with inelastic collisions

2009-03-10

arxiv.org/abs/0903.1838v1

J. Phys. A: Math. Ther. 40 (2007) F1077-F1083

Nonlinear Sciences

Chaotic Dynamics

A complete list of my papers can be found in: http://www.rc.unesp.br/igce/demac/denis/

Scientific paper

10.1088/1751-8113/40/50/F02

The phenomenon of Fermi acceleration is addressed for a dissipative bouncing ball model with external stochastic perturbation. It is shown that the introduction of energy dissipation (inelastic collisions of the particle with the moving wall) is a sufficient condition to break down the process of Fermi acceleration. The phase transition from bounded to unbounded energy growth in the limit of vanishing dissipation is characterized.

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