Stochastic acceleration in a random time-dependent potential

Soret, Emilie; De Bievre, Stephan

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1016/j.spa.2015.01.012

Title :

Stochastic acceleration in a random time-dependent potential

Author(s) :

Soret, Emilie [Auteur]
Quantitative methods for stochastic models in physics [MEPHYSTO]
De Bievre, Stephan [Auteur]

Quantitative methods for stochastic models in physics [MEPHYSTO]

Journal title :

Stochastic Processes and their Applications

Pages :

2752–2785

Publisher :

Elsevier

Publication date :

2015-07

ISSN :

0304-4149

English keyword(s) :

Stochastic acceleration
Random potential
Diffusion

HAL domain(s) :

Mathématiques [math]/Probabilités [math.PR]

English abstract : [en]

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 ...
Show more >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 $d>5$.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :