Continuous time random walks under Markovian resetting
- We investigate the effects of Markovian resetting events on continuous time random walks where the waiting times and the jump lengths are random variables distributed according to power-law probability density functions. We prove the existence of a nonequilibrium stationary state and finite mean first arrival time. However, the existence of an optimum reset rate is conditioned to a specific relationship between the exponents of both power-law tails. We also investigate the search efficiency by finding the optimal random walk which minimizes the mean first arrival time in terms of the reset rate, the distance of the initial position to the target, and the characteristic transport exponents.
| Author details: | Vicenc MendezORCiD, Axel Maso-PuigdellosasORCiD, Trifce SandevORCiDGND, Daniel Campos |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.103.022103 |
| ISSN: | 2470-0045 |
| ISSN: | 2470-0053 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/33736111 |
| 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: | 2021/02/03 |
| Publication year: | 2021 |
| Release date: | 2024/06/10 |
| Volume: | 103 |
| Issue: | 2 |
| Article number: | 022103 |
| Number of pages: | 8 |
| Funding institution: | Alexander von Humboldt FoundationAlexander von Humboldt Foundation [CGL2016-78156-C2-2-R] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
| License (German): |  Keine öffentliche Lizenz: Unter Urheberrechtsschutz |
