Stochastic acceleration in a random time-dependent potential
  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 $d>5$. 
Emilie Soret (LPP, INRIA Lille - Nord Europe), Stephan De Bievre (LPP,   INRIA Lille - Nord Europe)
math.PR