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.
Lingua originale | English |
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Numero di pagine | 8 |
Rivista | PHYSICAL REVIEW. E |
Volume | 102 |
Stato di pubblicazione | Published - 2020 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.3100.3109???
- ???subjectarea.asjc.2600.2613???
- ???subjectarea.asjc.3100.3104???