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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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