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Directed transport induced by spatially modulated Levy flights

  • In this paper we study the dynamics of a particle in a ratchet potential subject to multiplicative alpha-stable Levy noise, alpha is an element of(0, 2), in the limit of a noise amplitude epsilon -> 0. We compare the dynamics for Ito 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 alpha is an element of(0, 2].

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Author:Ilya Pavlyukevich, Yongge Li, Yong Xu, Aleksei V. ChechkinORCiDGND
ISSN:1751-8113 (print)
ISSN:1751-8121 (online)
Parent Title (English):Journal of physics : A, Mathematical and theoretical
Publisher:IOP Publ. Ltd.
Place of publication:Bristol
Document Type:Article
Year of first Publication:2015
Year of Completion:2015
Release Date:2017/03/27
Tag:Levy flights; Seebeck ratchet; directed transport; multiplicative noise
Funder:National Natural Science Foundation of China [11372247]; Fundamental Research Funds for the Central Universities; IMU Berlin Einstein Foundation
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert