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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.

MSC:

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