Non-equilibrium steady states of stochastic processes with intermittent resetting

By S. Eule, J. Metzger. 2015

163 citations recorded by the source corpus.

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 special case of memoryless resetting protocols. Here, we obtain the general solution for the distribution of processes in which waiting times between reset events are drawn from an arbitrary distribution. This allows for the investigation of a broader class of much more realistic processes. As an example, our results are applied to the analysis of the efficiency of constrained random search processes.

Subfields: Molecular Biology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6933f98c2c134243ee1dc8e5b992639d550de83e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Molecular Biology

1. G. Schehr
2. Satya N. Majumdar
3. M. Evans
4. Shamik Gupta
5. A. Jayannavar

In Statistical and Nonlinear Physics

1. Satya N. Majumdar
2. M. Evans
3. G. Schehr
4. Shamik Gupta
5. A. Jayannavar

Citations in the corpus

• Stochastic resetting and applications (2019, methodology): “etting it is more dicult to write down a forward master equation analogous to (2.5) as one must in addition keep track of the time since the last reset. This results in a generalised master equation [54]. Here, we use the renewal approach (see e.g. [32,55,59{61,68,69,74]) which we now review. In the”