The simplified stochastic Fermi-Ulam model revisited
Abstract
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.
Keywords
Cite
@article{arxiv.1001.0183,
title = {The simplified stochastic Fermi-Ulam model revisited},
author = {A. K. Karlis and F. K. Diakonos and V. Constantoudis and P. Schmelcher},
journal= {arXiv preprint arXiv:1001.0183},
year = {2011}
}
Comments
This paper has been withdrawn by the authors. The work has been redone on a totally new basis. The new results relate not only to the stochastic simplified FUM, but to time-dependent billiards in general