Stochastic resetting by a random amplitude
Abstract
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.
- Publication:
-
Physical Review E
- Pub Date:
- May 2021
- DOI:
- 10.1103/PhysRevE.103.052123
- arXiv:
- arXiv:2104.14866
- Bibcode:
- 2021PhRvE.103e2123D
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- Physics - Biological Physics
- E-Print:
- 28 pages, 10 figures, RevTeX