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].
| Author details: | Ilya Pavlyukevich, Yongge Li, Yong XuORCiD, Aleksei V. ChechkinORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1088/1751-8113/48/49/495004 |
| ISSN: | 1751-8113 |
| ISSN: | 1751-8121 |
| Title of parent work (English): | Journal of physics : A, Mathematical and theoretical |
| Publisher: | IOP Publ. Ltd. |
| Place of publishing: | Bristol |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2015 |
| Publication year: | 2015 |
| Release date: | 2017/03/27 |
| Tag: | Levy flights; Seebeck ratchet; directed transport; multiplicative noise |
| Volume: | 48 |
| Issue: | 49 |
| Number of pages: | 21 |
| Funding institution: | 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 |
