# Stochastic thermodynamics of resetting

@article{Fuchs2016StochasticTO,
title={Stochastic thermodynamics of resetting},
author={Jaco Fuchs and Sebastian Goldt and Udo Seifert},
journal={Europhysics Letters},
year={2016},
volume={113}
}
• Published 3 March 2016
• Mathematics
• Europhysics Letters
Stochastic dynamics with random resetting leads to a non-equilibrium steady state. Here, we consider the thermodynamics of resetting by deriving the first and second law for resetting processes far from equilibrium. We identify the contributions to the entropy production of the system which arise due to resetting and show that they correspond to the rate with which information is either erased or created. Using Landauer's principle, we derive a bound on the amount of work that is required to…

## Figures from this paper

### Quantum mechanical approach to stochastic resetting

• Mathematics
• 2017
We study the dynamics of overdamped Brownian particles diffusing in force fields and undergoing stochastic resetting to a given location with a generic {\em space-dependent} rate of resetting. We

### Experimental Realization of Diffusion with Stochastic Resetting

• Engineering
The journal of physical chemistry letters
• 2020
The first experimental corroboration of central theoretical results is provided and the energetic cost of resetting in steady-state and first-passage scenarios is measured, showing that this cost cannot be made arbitrarily small because of fundamental constraints on realistic resetting protocols.

### Asymmetric stochastic resetting: Modeling catastrophic events.

• Mathematics
Physical review. E
• 2020
An approach to obtain the exact nonequilibrium steady state of such systems and the mean first passage time to reach the origin is presented and the explicit solutions for two different model systems are obtained.

### Stochastic resetting and applications

• Mathematics
Journal of Physics A: Mathematical and Theoretical
• 2020
In this topical review we consider stochastic processes under resetting, which have attracted a lot of attention in recent years. We begin with the simple example of a diffusive particle whose

### Work Fluctuations and Jarzynski Equality in Stochastic Resetting.

• Mathematics
Physical review letters
• 2020
It is shown that the distribution function of the work typically, in asymptotic times, converges to a universal Gaussian form for any protocol as long as that is also renewed after each resetting event.

### Stochastic resetting in underdamped Brownian motion

• D. Gupta
• Physics
Journal of Statistical Mechanics: Theory and Experiment
• 2019
We consider a single Brownian particle in one dimension in a medium at a constant temperature in the underdamped regime. We stochastically reset the position of the Brownian particle to a fixed point

### Non-linear diffusion with stochastic resetting

• P. Chełminiak
• Mathematics
Journal of Physics A: Mathematical and Theoretical
• 2022
Resetting or restart, when applied to a stochastic process, usually brings its dynamics to a time-independent stationary state. In turn, the optimal resetting rate makes the mean time to reach a

### Run and tumble particle under resetting: a renewal approach

• Mathematics
Journal of Physics A: Mathematical and Theoretical
• 2018
This work considers a particle undergoing run and tumble dynamics, in which its velocity stochastically reverses, in one dimension and shows that the the mean time to absorption is always less for velocity randomization than for position-only resetting.

### Synchronization in the Kuramoto model in presence of stochastic resetting.

• Mathematics
Chaos
• 2022
What happens when the paradigmatic Kuramoto model involving interacting oscillators of distributed natural frequencies and showing spontaneous collective synchronization in the stationary state is

### Resetting with stochastic return through linear confining potential

• Physics
Journal of Statistical Mechanics: Theory and Experiment
• 2021
We consider motion of an overdamped Brownian particle subject to stochastic resetting in one dimension. In contrast to the usual setting where the particle is instantaneously reset to a preferred

## References

SHOWING 1-4 OF 4 REFERENCES

### Non-equilibrium steady states of stochastic processes with intermittent resetting

• Mathematics
• 2015
Stochastic processes that are randomly reset to an initial condition serve as a showcase to investigate non-equilibrium steady states. However, all existing results have been restricted to the

### Thermodynamics of a colloidal particle in a time-dependent nonharmonic potential.

• Physics
Physical review letters
• 2006
The first lawlike balance between applied work, exchanged heat, and internal energy on the level of a single trajectory is demonstrated, and the observed distribution of applied work is distinctly non-Gaussian in good agreement with numerical calculations.

### First Order Transition for the Optimal Search Time of Lévy Flights with Resetting.

• Mathematics
Physical review letters
• 2014
An intermittent search process in one dimension where a searcher undergoes a discrete time jump process starting at x_{0}≥0 and the mean first passage time (MFPT) to the origin is studied, which has a global minimum in the (μ,r) plane.

• 1983