Stochastic acceleration in a random time-dependent potential

We study the long time behaviour of the speed of a particle moving in Rd 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 t25 when d>5.

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Year of publication:	2015
Authors:	Soret, E. ; De Bièvre, S.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 125.2015, 7, p. 2752-2785
Publisher:	Elsevier
Subject:	Stochastic acceleration \| Random potential \| Diffusion

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011264612