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

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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].

Original language	English
Article number	495004
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	48
Issue number	49
DOIs	https://doi.org/10.1088/1751-8113/48/49/495004
State	Published - 18 Nov 2015

Keywords

directed transport
Lévy flights
multiplicative noise
Seebeck ratchet

Access to Document

10.1088/1751-8113/48/49/495004

Cite this

@article{3005332d0968420db4af979a095431d7,

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",

note = "Publisher Copyright: {\textcopyright} 2015 IOP Publishing Ltd.",

year = "2015",

month = nov,

day = "18",

doi = "10.1088/1751-8113/48/49/495004",

language = "英语",

volume = "48",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "49",

}

TY - JOUR

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 - http://www.scopus.com/inward/record.url?scp=84948799115&partnerID=8YFLogxK

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this