General approach to stochastic resetting
- We address the effect of stochastic resetting on diffusion and subdiffusion process. For diffusion we find that mean square displacement relaxes to a constant only when the distribution of reset times possess finite mean and variance. In this case, the leading order contribution to the probability density function (PDF) of a Gaussian propagator under resetting exhibits a cusp independent of the specific details of the reset time distribution. For subdiffusion we derive the PDF in Laplace space for arbitrary resetting protocol. Resetting at constant rate allows evaluation of the PDF in terms of H function. We analyze the steady state and derive the rate function governing the relaxation behavior. For a subdiffusive process the steady state could exist even if the distribution of reset times possesses only finite mean.
| Author details: | Rishu Kumar SinghORCiD, Katarzyna GórskaORCiD, Trifce SandevORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.105.064133 |
| ISSN: | 2470-0045 |
| ISSN: | 2470-0053 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/35854558 |
| 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: | 2022/06/29 |
| Publication year: | 2022 |
| Release date: | 2024/05/27 |
| Volume: | 105 |
| Issue: | 6 |
| Article number: | 064133 |
| Number of pages: | 6 |
| Funding institution: | Israel Academy of Sciences and Humani-ties (IASH); Council for Higher; Education (CHE); NCN Re-search Grant OPUS-12 [UMO-2016/23/B/ST3/01714];; NCN-NAWA Research Grant Preludium Bis 2 [UMO-2020/39/O/ST2/01563];; Alexander von Humboldt Foundation; German Science Foundation (DFG) [ME; 1535/12-1] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
