Ratchet-mediated resetting: Current, efficiency, and exact solution
arXiv:2405.10698 · doi:10.1088/1751-8121/ad62c9
Abstract
We model an overdamped Brownian particle that is subject to resetting facilitated by a ratchet potential on a spatially periodic domain. This asymmetric potential switches on with a constant rate, but switches off again only upon the particle's first passage to a resetting point at the minimum of the potential. Repeating this cycle sustains a non-equilibrium steady-state, as well as a directed steady-state current which can be harnessed to perform useful work. We derive exact analytic expressions for the probability densities of the free-diffusion and resetting phases, the associated currents for each phase, and an efficiency parameter that quantifies the return in current for given power input. These expressions allow us to fully characterise the system and obtain experimentally relevant results such as the optimal current and efficiency. Our results are corroborated by simulations, and have implications for experimentally viable finite-time resetting protocols.
24 pages (14 pages main), 13 figures
References in corpus (31)
- First Passage Under Restart
- Experimental realization of diffusion with stochastic resetting
- Optimal mean first-passage time for a Brownian searcher subjected to resetting: experimental and theoretical results
- Random walks with preferential relocations to places visited in the past and their application to biology
- Stochastic resetting: A (very) brief review
- Stochastic resetting with stochastic returns using external trap
- Transport properties of random walks under stochastic non-instantaneous resetting
- Intermittent resetting potentials
- Run-and-tumble motion: field theory and entropy production
- Brownian motion under intermittent harmonic potentials
- Thermodynamic uncertainty relation for systems with unidirectional transitions
- Analytic Solution of an Active Brownian Particle in a Harmonic Well
- Entropy production in exactly solvable systems
- Resetting with stochastic return through linear confining potential
- The cost of stochastic resetting
- The entropy production of an active particle in a box
- Thermodynamic cost of finite-time stochastic resetting
- Work fluctuations for diffusion dynamics submitted to stochastic return
- Reducing mean first passage times with intermittent confining potentials: a realization of resetting processes
- Run-and-tumble motion in a linear ratchet potential: Analytic solution, power extraction, and first-passage properties
- Brownian motion under non-instantaneous resetting in higher dimensions
- Thermodynamic work of partial resetting
- Optimal power extraction from active particles with hidden states
- Autonomous Ratcheting by Stochastic Resetting
- Exact solution of a boundary tumbling particle system in one dimension
- Efficiency of a microscopic heat engine subjected to stochastic resetting
- Active-passive mixtures with bulk loading: a minimal active engine in one dimension
- Taming a Maxwell's demon for experimental stochastic resetting
- Optimal Ratchet Potentials for Run-and-Tumble particles
- On the efficiency of an autonomous dynamic Szilard engine operating on a single active particle
- Boosting macroscopic diffusion with local resetting