Stochastic Resetting vs. Thermal Equilibration: Faster Relaxation, Different Destination
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909878591684608 |
|---|---|
| author | Sherf, Nir Goerlich, Remi Hirshberg, Barak Roichman, Yael |
| author_facet | Sherf, Nir Goerlich, Remi Hirshberg, Barak Roichman, Yael |
| contents | Stochastic resetting is known for its ability to accelerate search processes and induce non-equilibrium steady states. Here, we compare the relaxation times and resulting steady states of resetting and thermal relaxation for Brownian motion in a harmonic potential. We show that resetting always converges faster than thermal equilibration, but to a different steady-state. The acceleration and the shape of the steady-state are governed by a single dimensionless parameter that depends on the resetting rate, the viscosity, and the stiffness of the potential. We observe a trade-off between relaxation speed and the extent of spatial exploration as a function of this dimensionless parameter. Moreover, resetting relaxes faster even when resetting to positions arbitrarily far from the potential minimum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26629 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic Resetting vs. Thermal Equilibration: Faster Relaxation, Different Destination Sherf, Nir Goerlich, Remi Hirshberg, Barak Roichman, Yael Statistical Mechanics Stochastic resetting is known for its ability to accelerate search processes and induce non-equilibrium steady states. Here, we compare the relaxation times and resulting steady states of resetting and thermal relaxation for Brownian motion in a harmonic potential. We show that resetting always converges faster than thermal equilibration, but to a different steady-state. The acceleration and the shape of the steady-state are governed by a single dimensionless parameter that depends on the resetting rate, the viscosity, and the stiffness of the potential. We observe a trade-off between relaxation speed and the extent of spatial exploration as a function of this dimensionless parameter. Moreover, resetting relaxes faster even when resetting to positions arbitrarily far from the potential minimum. |
| title | Stochastic Resetting vs. Thermal Equilibration: Faster Relaxation, Different Destination |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2510.26629 |