Continuous-time random walk under time-dependent resetting

Continuous-time random walk under time-dependent resetting Continuous-time random walks of a particle that is randomly reset to an initial position are considered. The distribution of the waiting time between the reset events is represented as a sum of an arbitrary number of exponentials. The governing equation of this stochastic process is established. The mean first-passage time to a particular position is calculated. It is shown that anomalous subdiffusion has a significant impact on the shape of the stationary state. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review E American Physical Society (APS)

Continuous-time random walk under time-dependent resetting

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Continuous-time random walk under time-dependent resetting

Abstract

Continuous-time random walks of a particle that is randomly reset to an initial position are considered. The distribution of the waiting time between the reset events is represented as a sum of an arbitrary number of exponentials. The governing equation of this stochastic process is established. The mean first-passage time to a particular position is calculated. It is shown that anomalous subdiffusion has a significant impact on the shape of the stationary state.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1539-3755
eISSN
550-2376
D.O.I.
10.1103/PhysRevE.96.012126
Publisher site
See Article on Publisher Site

Abstract

Continuous-time random walks of a particle that is randomly reset to an initial position are considered. The distribution of the waiting time between the reset events is represented as a sum of an arbitrary number of exponentials. The governing equation of this stochastic process is established. The mean first-passage time to a particular position is calculated. It is shown that anomalous subdiffusion has a significant impact on the shape of the stationary state.

Journal

Physical Review EAmerican Physical Society (APS)

Published: Jul 12, 2017

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