Edson D Leonel 2007 J. Phys. A: Math. Theor. 40 F1077 doi:10.1088/1751-8113/40/50/F02
Edson D Leonel
Show affiliationsThe 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.
70Fxx Dynamics of a system of particles, including celestial mechanics
82C26 Dynamic and nonequilibrium phase transitions (general)
Issue 50 (14 December 2007)
Received 25 September 2007
Published 28 November 2007
Edson D Leonel 2007 J. Phys. A: Math. Theor. 40 F1077
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