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两种有色噪声之间的干扰对布朗粒子稳态的影响。

Effect of interference between two colored noises on the stationary states of a Brownian particle.

作者信息

Mondal Shrabani, Bag Bidhan Chandra

机构信息

Department of Chemistry, Visva-Bharati, Santiniketan 731 235, India.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):042145. doi: 10.1103/PhysRevE.91.042145. Epub 2015 Apr 30.

DOI:10.1103/PhysRevE.91.042145
PMID:25974476
Abstract

In this paper we present properties of an external colored cross-correlated noise-driven Brownian system which is coupled to a thermal bath. Multiplicative cross-correlated noises can stabilize the transition state. Thus by monitoring the interference between the noises one can understand the mechanism of a chemical reaction. At the same time, we have investigated how the interference affects the barrier-crossing dynamics. In its presence breakdown of the Arrhenius result occurs. The breakdown becomes prominent if the multiplicative noises become additive in nature. We have also investigated how the power law behavior of the rate constant as a function of damping strength is affected by the properties of external colored noises. Furthermore, we have observed that multiplicative colored cross-correlated noises can induce the resonant activation phenomenon.

摘要

在本文中,我们展示了一个与热浴耦合的外部有色交叉关联噪声驱动的布朗系统的性质。乘性交叉关联噪声可以稳定过渡态。因此,通过监测噪声之间的干涉,人们可以理解化学反应的机制。同时,我们研究了这种干涉如何影响越过势垒的动力学。在其存在的情况下,阿仑尼乌斯结果会失效。如果乘性噪声本质上变为加性噪声,这种失效会变得显著。我们还研究了速率常数作为阻尼强度函数的幂律行为如何受到外部有色噪声性质的影响。此外,我们观察到乘性有色交叉关联噪声可以诱导共振激活现象。

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