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arXiv 0907.0417cond-mat.stat-mech
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跳跃扩散模型的微观起源

Microscopic origin of the jump diffusion model

M. F. Gelin, D. S. Kosov

摘要:

本文旨在研究跳跃扩散的微观起源。从$N$ -体Liouville方程出发,仅假设分子重取向是过阻尼的,导出并求解了新的(以下简称广义扩散)方程。这是最普遍的方程,它支配的取向弛豫的平衡分子系综在受阻的旋转限制和在长的时间限制。广义扩散方程是小角扩散方程在碰撞近似下的推广。建立了广义扩散方程与跳跃扩散方程一致的条件,并讨论了这两种方法的异同。

英文摘要:

The present paper is aimed at studying the microscopic origin of the jump diffusion. Starting from the $N$-body Liouville equation and making only the assumption that molecular reorientation is overdamped, we derive and solve the new (hereafter generalized diffusion) equation. This is the most general equation which governs orientational relaxation of an equilibrium molecular ensemble in the hindered rotation limit and in the long time limit. The generalized diffusion equation is an extension of the small-angle diffusion equation beyond the impact approximation. We establish the conditions under which the generalized diffusion equation can be identified with the jump diffusion equation, and also discuss the similarities and differences between the two approaches.

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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