Stochastic acceleration in a random time-dependent potential
Soret, Emilie · De Bievre, Stephan
Original · EN
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.
English translation
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