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arXiv 1008.0940math-phmath.MPmath.PR
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能量传递与联合扩散

Energy Transfer and Joint Diffusion

Zsolt Pajor-Gyulai, Domokos Szász

摘要:

提出了一个描述两个洛伦兹盘在光滑、严格凸散射体的有限水平周期性位形中运动并通过弹性碰撞相互作用的轨迹扩散极限的范例模型。对于这个模型,两个轨迹的扩散极限是联合高斯定律的混合(类似的行为是预期的两个洛伦兹盘的力学模型)。

英文摘要:

A paradigm model is suggested for describing the diffusive limit of trajectories of two Lorentz disks moving in a finite horizon periodic configuration of smooth, strictly convex scatterers and interacting with each other via elastic collisions. For this model the diffusive limit of the two trajectories is a mixture of joint Gaussian laws (analogous behavior is expected for the mechanical model of two Lorentz disks).

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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