The problem of analytical calculation ofbarrier crossing characteristics for L´evyflights

Bernardo Spagnolo, Dubkov, Angelo La Cognata

Risultato della ricerca: Articlepeer review

28 Citazioni (Scopus)

Abstract

By using the backward fractional Fokker–Planck equation weinvestigate the barrier crossing event in the presence of L´evy noise. Afterbriefly reviewing recent results obtained with different approaches on the timecharacteristics of the barrier crossing, we derive a general differential equationuseful to calculate the nonlinear relaxation time. We obtain analytically thenonlinear relaxation time for free L´evy flights and a closed expression inquadrature of the same characteristics for the cubic potential.
Lingua originaleEnglish
Numero di pagine0
RivistaJournal of Statistical Mechanics: Theory and Experiment
Volume2009-01-05
Stato di pubblicazionePublished - 2009

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.3100.3109???
  • ???subjectarea.asjc.2600.2613???
  • ???subjectarea.asjc.1800.1804???

Fingerprint

Entra nei temi di ricerca di 'The problem of analytical calculation ofbarrier crossing characteristics for L´evyflights'. Insieme formano una fingerprint unica.

Cita questo