Breaking down the Fermi acceleration with inelastic collisions. (English) Zbl 1134.81371

Summary: 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.


81Q50 Quantum chaos
82D10 Statistical mechanics of plasmas
81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)
Full Text: DOI arXiv