Resetting dynamics in a confining potential
- We study Brownian motion in a confining potential under a constant-rate resetting to a reset position x(0). The relaxation of this system to the steady-state exhibits a dynamic phase transition, and is achieved in a light cone region which grows linearly with time. When an absorbing boundary is introduced, effecting a symmetry breaking of the system, we find that resetting aids the barrier escape only when the particle starts on the same side as the barrier with respect to the origin. We find that the optimal resetting rate exhibits a continuous phase transition with critical exponent of unity. Exact expressions are derived for the mean escape time, the second moment, and the coefficient of variation (CV).
| Author details: | Rishu Kumar SinghORCiD, Ralf MetzlerORCiDGND, Trifce SandevORCiD |
|---|---|
| DOI: | https://doi.org/10.1088/1751-8121/abc83a |
| 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 |
| Date of first publication: | 2020/11/25 |
| Publication year: | 2020 |
| Release date: | 2023/01/09 |
| Tag: | barrier escape; diffusion; first-passage; resetting |
| Volume: | 53 |
| Issue: | 50 |
| Article number: | 505003 |
| Number of pages: | 28 |
| Funding institution: | SERB-MATRICS scheme [MTR/2019/000560]; German Science Foundation; (DFG) German Research Foundation (DFG) [ME 1535/7-1]; Foundation for; Polish Science (Fundacja na rzecz Nauki Polskiej); Alexander von; Humboldt FoundationAlexander von Humboldt Foundation |
| 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 / Hybrid Open-Access |
| License (German): |  CC-BY - Namensnennung 4.0 International |
