Stochastic acceleration in a random time-dependent potential

E. Soret and S. De Bièvre

Stochastic Processes and their Applications, 2015, vol. 125, issue 7, 2752-2785

Abstract: 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.

Keywords: Stochastic acceleration; Random potential; Diffusion (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2015.01.012

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