The stochastic acceleration problem in two dimensions
classification
🧮 math-ph
math.MPmath.PR
keywords
dimensionsmotionaccelerationbrowniancirclecitecomplementsconsider
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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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