The simplified stochastic Fermi-Ulam model revisited

Details The simplified stochastic Fermi-Ulam model revisited The simplified stochastic Fermi-Ulam model revisited

2009-12-31

arxiv.org/abs/1001.0183v2

Nonlinear Sciences

Chaotic Dynamics

This paper has been withdrawn by the authors. The work has been redone on a totally new basis. The new results relate not only

Scientific paper

The description of Fermi acceleration developing in the phase-randomized simplified Fermi-Ulam model (SFUM) can be achieved in terms of a random walk taking place in momentum space. Within this framework the evolution of the probability density function of particle velocities is determined by the Fokker-Planck equation (FPE). However, the standard treatment in the literature leads to a result, which even though is in agreement with the numerical results, it is inconsistent with the transport coefficients used for the construction of the FPE. In this work we present a consistent scheme for the description of Fermi acceleration, resolving this contradiction.

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