Stochastic acceleration in a random ...
Document type :
Article dans une revue scientifique: Article original
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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]
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
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 >
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
Collections :
Source :
Submission date :
2025-01-24T18:34:25Z
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