Statistics of residence time for Lévy flights in unstable parabolic potentials.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 33212570.
- Also identified by DOI 10.1103/PhysRevE.102.042142.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
We analyze the residence time problem for an arbitrary Markovian process describing nonlinear systems without a steady state. We obtain exact analytical results for the statistical characteristics of the residence time. For diffusion in a fully unstable potential profile in the presence of Lévy noise we get the conditional probability density of the particle position and the average residence time. The noise-enhanced stability phenomenon is observed in the system investigated. Results from numerical simulations are in very good agreement with analytical ones.