Directed transport induced by spatially modulated Lévy flights

Ilya Pavlyukevich; Yongge Li; Yong Xu; Aleksei Chechkin

doi:10.1088/1751-8113/48/49/495004

Directed transport induced by spatially modulated Lévy flights

Ilya Pavlyukevich
, Yongge Li
, Yong Xu
, Aleksei Chechkin

数学与统计学院

Friedrich Schiller University Jena
Northwestern Polytechnical University Xian
NASU - Kharkov Institute of Physics and Technology
University of Potsdam
Max-Planck-Institute for the Physics of Complex Systems

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

In this paper we study the dynamics of a particle in a ratchet potential subject to multiplicative -stable Lévy noise, α ∈ (0,2], in the limit of a noise amplitude ε → 0. We compare the dynamics for Itô and Marcus multiplicative noises and obtain the explicit asymptotics of the escape time in the wells and transition probabilities between the wells. A detailed analysis of the noise-induced current is performed for the Seebeck ratchet with a weak multiplicative noise for α ∈ (0,2].

源语言	英语
文章编号	495004
期刊	Journal of Physics A: Mathematical and Theoretical
卷	48
期	49
DOI	https://doi.org/10.1088/1751-8113/48/49/495004
出版状态	已出版 - 18 11月 2015

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title = "Directed transport induced by spatially modulated L{\'e}vy flights",

abstract = "In this paper we study the dynamics of a particle in a ratchet potential subject to multiplicative -stable L{\'e}vy noise, α ∈ (0,2], in the limit of a noise amplitude ε → 0. We compare the dynamics for It{\^o} and Marcus multiplicative noises and obtain the explicit asymptotics of the escape time in the wells and transition probabilities between the wells. A detailed analysis of the noise-induced current is performed for the Seebeck ratchet with a weak multiplicative noise for α ∈ (0,2].",

keywords = "directed transport, L{\'e}vy flights, multiplicative noise, Seebeck ratchet",

author = "Ilya Pavlyukevich and Yongge Li and Yong Xu and Aleksei Chechkin",

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year = "2015",

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T1 - Directed transport induced by spatially modulated Lévy flights

AU - Pavlyukevich, Ilya

AU - Li, Yongge

AU - Xu, Yong

AU - Chechkin, Aleksei

PY - 2015/11/18

Y1 - 2015/11/18

N2 - In this paper we study the dynamics of a particle in a ratchet potential subject to multiplicative -stable Lévy noise, α ∈ (0,2], in the limit of a noise amplitude ε → 0. We compare the dynamics for Itô and Marcus multiplicative noises and obtain the explicit asymptotics of the escape time in the wells and transition probabilities between the wells. A detailed analysis of the noise-induced current is performed for the Seebeck ratchet with a weak multiplicative noise for α ∈ (0,2].

AB - In this paper we study the dynamics of a particle in a ratchet potential subject to multiplicative -stable Lévy noise, α ∈ (0,2], in the limit of a noise amplitude ε → 0. We compare the dynamics for Itô and Marcus multiplicative noises and obtain the explicit asymptotics of the escape time in the wells and transition probabilities between the wells. A detailed analysis of the noise-induced current is performed for the Seebeck ratchet with a weak multiplicative noise for α ∈ (0,2].

KW - directed transport

KW - Lévy flights

KW - multiplicative noise

KW - Seebeck ratchet

UR - https://www.scopus.com/pages/publications/84948799115

U2 - 10.1088/1751-8113/48/49/495004

DO - 10.1088/1751-8113/48/49/495004

M3 - 文章

AN - SCOPUS:84948799115

SN - 1751-8113

VL - 48

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 49

M1 - 495004

ER -

Directed transport induced by spatially modulated Lévy flights

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