Stochastic acceleration in a random time-dependent potential
Probability
2014-09-09 v1
Abstract
We study the long time behaviour of the speed of a particle moving in under the influence of a random time-dependent potential representing the particle's environment. The particle undergoes successive scattering events that we model with a Markov chain for which each step represents a collision. Assuming the initial velocity is large enough, we show that, with high probability, the particle's kinetic energy grows as when .
Cite
@article{arxiv.1409.2098,
title = {Stochastic acceleration in a random time-dependent potential},
author = {Emilie Soret and Stephan De Bievre},
journal= {arXiv preprint arXiv:1409.2098},
year = {2014}
}