Anomalous diffusion under stochastic resettings: A general approach.
basic_science · Level V
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- Record sourced from PubMed, PMID 31770932.
- Also identified by DOI 10.1103/PhysRevE.100.042103.
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Abstract
We present a general formulation of the resetting problem which is valid for any distribution of resetting intervals and arbitrary underlying processes. We show that in such a general case, a stationary distribution may exist even if the reset-free process is not stationary, as well as a significant decreasing in the mean first-passage time. We apply the general formalism to anomalous diffusion processes which allow simple and explicit expressions for Poissonian resetting events.