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BERNARDO SPAGNOLO

Statistics of residence time for Lévy flights in unstable parabolic potentials

  • Authors: Dubkov A.A.; Dybiec B.; Spagnolo B.; Kharcheva A.; Guarcello C.; Valenti D.
  • Publication year: 2020
  • Type: Articolo in rivista
  • OA Link: http://hdl.handle.net/10447/474923

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.