Stochastic resetting by a random amplitude
- Stochastic resetting, a diffusive process whose amplitude is reset to the origin at random times, is a vividly studied strategy to optimize encounter dynamics, e.g., in chemical reactions. Here we generalize the resetting step by introducing a random resetting amplitude such that the diffusing particle may be only partially reset towards the trajectory origin or even overshoot the origin in a resetting step. We introduce different scenarios for the random-amplitude stochastic resetting process and discuss the resulting dynamics. Direct applications are geophysical layering (stratigraphy) and population dynamics or financial markets, as well as generic search processes.
| Author details: | Marcus DahlenburgORCiD, Aleksei ChechkinORCiDGND, Rina SchumerORCiD, Ralf MetzlerORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.103.052123 |
| ISSN: | 2470-0045 |
| ISSN: | 2470-0053 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/34134286 |
| Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Publisher: | American Physical Society |
| Place of publishing: | Woodbury, NY |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2021/05/18 |
| Publication year: | 2021 |
| Release date: | 2024/07/09 |
| Volume: | 103 |
| Issue: | 5 |
| Article number: | 052123 |
| Number of pages: | 22 |
| Funding institution: | Basque Government through the BERC 2018-2021 programBasque Government; Ministry of Science, Innovation and Universities [SEV-2017-0718, PRE2018-084427]; DFGGerman Research Foundation (DFG)European Commission [ME 1535/12-1]; Foundation for Polish Science (Fundacja na rzecz Nauki Polskiej); Alexander von Humboldt Honorary Polish Research Scholarship |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| 5 Naturwissenschaften und Mathematik / 57 Biowissenschaften; Biologie / 570 Biowissenschaften; Biologie | |
| Peer review: | Referiert |
