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2022-03-06
摘要翻译:
我们提出了一维外部驱动关联噪声过程的亚稳态逃逸率的推广。除了内部的非马尔可夫热涨落外,我们所考虑的外部关联噪声过程是高斯的、平稳的,并且是Ornstein-Uhlenbeck型的。基于有限记忆有效噪声过程的Fokker-Planck描述,导出了亚稳态在中大阻尼极限下的广义逃逸率,并研究了相关程度对逃逸率的影响。将理论表达式与数值模拟结果进行了比较,结果表明,通过增加外部噪声的关联度,可以通过修饰有效噪声强度来提高逃逸率。
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英文标题:
《Generalization of escape rate from a metastable state driven by external
  cross-correlated noise processes》
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作者:
Jyotipratim Ray Chaudhuri, Sudip Chattopadhyay, and Suman Kumar Banik
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最新提交年份:
2007
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分类信息:

一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics        物理学
二级分类:Soft Condensed Matter        软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
--

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英文摘要:
  We propose generalization of escape rate from a metastable state for externally driven correlated noise processes in one dimension. In addition to the internal non-Markovian thermal fluctuations, the external correlated noise processes we consider are Gaussian, stationary in nature and are of Ornstein-Uhlenbeck type. Based on a Fokker-Planck description of the effective noise processes with finite memory we derive the generalized escape rate from a metastable state in the moderate to large damping limit and investigate the effect of degree of correlation on the resulting rate. Comparison of the theoretical expression with numerical simulation gives a satisfactory agreement and shows that by increasing the degree of external noise correlation one can enhance the escape rate through the dressed effective noise strength.
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PDF链接:
https://arxiv.org/pdf/707.2555
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