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噪声驱动热库逃逸率的解析与数值研究

Analytical and numerical investigation of escape rate for a noise driven bath.

作者信息

Chaudhuri J R, Banik S K, Bag B C, Ray D S

机构信息

Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700 032, India.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jun;63(6 Pt 1):061111. doi: 10.1103/PhysRevE.63.061111. Epub 2001 May 29.

DOI:10.1103/PhysRevE.63.061111
PMID:11415072
Abstract

We consider a system-reservoir model where the reservoir is modulated by an external noise. Both the internal noise of the reservoir and the external noise are stationary, Gaussian, and are characterized by arbitrary decaying correlation functions. Based on a relation between the dissipation of the system and the response function of the reservoir driven by external noise, we numerically examine the model using a full bistable potential to show that one can recover the turn-over features of the usual Kramers' dynamics when the external noise modulates the reservoir rather than the system directly. We derive the generalized Kramers' rate for this nonequilibrium open system. The theoretical results are verified by numerical simulation.

摘要

我们考虑一个系统 - 储能器模型,其中储能器由外部噪声调制。储能器的内部噪声和外部噪声都是平稳的、高斯的,并且由任意衰减的相关函数表征。基于系统的耗散与由外部噪声驱动的储能器的响应函数之间的关系,我们使用全双稳势对该模型进行数值研究,以表明当外部噪声调制储能器而非直接调制系统时,人们可以恢复通常的克莱默斯动力学的翻转特征。我们推导了这个非平衡开放系统的广义克莱默斯速率。理论结果通过数值模拟得到验证。

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