TY  - JOUR
A1  - Pavlyukevich, Ilya
A1  - Li, Yongge
A1  - Xu, Yong
A1  - Chechkin, Aleksei V.
T1  - Directed transport induced by spatially modulated Levy flights
JF  - Journal of physics : A, Mathematical and theoretical
N2  - 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].
KW  - Levy flights
KW  - multiplicative noise
KW  - Seebeck ratchet
KW  - directed transport
Y1  - 2015
U6  - https://doi.org/10.1088/1751-8113/48/49/495004
SN  - 1751-8113
SN  - 1751-8121
VL  - 48
IS  - 49
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -