Lévy walk dynamics in an external harmonic potential
- Levy walks (LWs) are spatiotemporally coupled random-walk processes describing superdiffusive heat conduction in solids, propagation of light in disordered optical materials, motion of molecular motors in living cells, or motion of animals, humans, robots, and viruses. We here investigate a key feature of LWs-their response to an external harmonic potential. In this generic setting for confined motion we demonstrate that LWs equilibrate exponentially and may assume a bimodal stationary distribution. We also show that the stationary distribution has a horizontal slope next to a reflecting boundary placed at the origin, in contrast to correlated superdiffusive processes. Our results generalize LWs to confining forces and settle some longstanding puzzles around LWs.
| Author details: | Pengbo Xu, Tian Zhou, Ralf MetzlerORCiDGND, Weihua DengORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.101.062127 |
| ISSN: | 2470-0045 |
| ISSN: | 2470-0053 |
| ISSN: | 1550-2376 |
| ISSN: | 1063-651X |
| ISSN: | 1539-3755 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/32688557 |
| Title of parent work (English): | Physical review : E, Statistical, nonlinear, and soft matter physics |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/06/17 |
| Publication year: | 2020 |
| Release date: | 2023/03/27 |
| Volume: | 101 |
| Issue: | 6 |
| Article number: | 062127 |
| Number of pages: | 12 |
| Funding institution: | National Natural Science Foundation of ChinaNational Natural Science; Foundation of China (NSFC) [11671182]; German Science Foundation; (DFG)German Research Foundation (DFG) [ME 1535/7-1]; Foundation for; Polish Science (FNP)Foundation for Polish Science |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Bronze Open-Access |
