Breaking down the Fermi acceleration with inelastic collisions

Abstract

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.

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

References in corpus (4)

• Acceleration of Particles by Oblique Shocks and Cosmic Ray Spectra around the Knee Region
• Hyperacceleration in a stochastic Fermi-Ulam model
• The Fermi accelerator in atom optics
• Coherent acceleration of material wavepackets in modulated optical fields

Cited by in corpus (6)

• Fermi acceleration and suppression of Fermi acceleration in a time-dependent Lorentz Gas
• Boundary crisis and suppression of Fermi acceleration in a dissipative two dimensional non-integrable time-dependent billiard
• Thermodynamics of a bouncer model: a simplified one-dimensional gas
• A consistent approach for the treatment of Fermi acceleration in time-dependent billiards
• Separation of particles leading to decay and unlimited growth of energy in a driven stadium-like billiard
• A one-dimensional Fermi accelerator model with moving wall described by a nonlinear van der Pol oscillator