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The stochastic acceleration problem in two dimensions

T. Komorowski·L. Ryzhik
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Abstract

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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T. Komorowski, L. Ryzhik. 2005-05-30. The stochastic acceleration problem in two dimensions. https://arxiv.org/abs/math-ph/0505083

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