Kramers' rate for systems with multiplicative noise

被引：10

作者：

Rosas, Alexandre ^{[1
]}

Pinto, Italo'Ivo Lima Dias ^{[2
,3
]}

Lindenberg, Katja ^{[2
,3
]}

机构：

[1] Univ Fed Paraiba, CCEN, Dept Fis, Caixa Postal 5008, BR-58059900 Joao Pessoa, Paraiba, Brazil

[2] Univ Calif San Diego, Dept Chem & Biochem, La Jolla, CA 92093 USA

[3] Univ Calif San Diego, BioCircuits Inst, La Jolla, CA 92093 USA

来源：

PHYSICAL REVIEW E | 2016年 / 94卷 / 01期

关键词：

ASYMMETRIC BISTABLE SYSTEM; STOCHASTIC RESONANCE; ADDITIVE NOISE; DRIVEN; TIME;

D O I：

10.1103/PhysRevE.94.012101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Kramers' rate for the passage of trajectories X(t) over an energy barrier due to thermal or other fluctuations is usually associated with additive noise. We present a generalization of Kramers' rate for systems with multiplicative noise. We show that the expression commonly used in the literature for multiplicative noise is not correct, and we present results of numerical integrations of the Langevin equation for dX(t)/dt evolving in a quartic bistable potential which corroborate our claim.

引用

页数：5

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