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Article Dans Une Revue Stochastic Processes and their Applications Année : 2015

Stochastic acceleration in a random time-dependent potential

Résumé

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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hal-01061294 , version 1 (07-09-2014)

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Emilie Soret, Stephan de Bièvre. Stochastic acceleration in a random time-dependent potential. Stochastic Processes and their Applications, 2015, 125 (7), pp.2752-2785. ⟨10.1016/j.spa.2015.01.012⟩. ⟨hal-01061294⟩
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