The stochastic acceleration problem in two dimensions

Details The stochastic acceleration problem in two dimensions The stochastic acceleration problem in two dimensions

2005-05-30

arxiv.org/abs/math-ph/0505083v1

Physics

Mathematical Physics

Scientific paper

We consider the motion of a particle in a two-dimensional spatially
homogeneous mixing potential and show that its momentum converges to the
Brownian motion on a circle. This complements the limit theorem of Kesten and
Papanicolaou \cite{KP} proved in dimensions $d\ge 3$.

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