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arXiv math-ph/0505083math-phmath.MPmath.PR
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二维随机加速度问题

The stochastic acceleration problem in two dimensions

T. Komorowski, L. Ryzhik

摘要:

研究了二维空间均匀混合势中粒子的运动,证明了粒子的动量收敛于圆周上的布朗运动。这补充了Kesten和Papanicolaou的极限定理\cite{KP}证明的尺寸$d\ge 3$。

英文摘要:

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 $d\ge 3$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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