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arXiv · 1409.2098

Stochastic acceleration in a random time-dependent potential

Emilie Soret·Stephan De Bievre
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Abstract

We study the long time behaviour of the speed of a particle moving in $\mathbb{R}^d$ 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 $E(t)$ grows as $t^{\frac25}$ when $d>5$.

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Emilie Soret, Stephan De Bievre. 2014-09-07. Stochastic acceleration in a random time-dependent potential. https://arxiv.org/abs/1409.2098

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