Spectral characteristics of steady-state Lévy flights in confinement potential profiles

Bernardo Spagnolo, Davide Valenti, Dybiec, Kharcheva, Spagnolo, Dubkov

Risultato della ricerca: Articlepeer review

11 Citazioni (Scopus)

Abstract

The steady-state correlation characteristics of superdiffusion in the form of Levy flights in one-dimensional confinement potential profiles are investigated both theoretically and numerically. Specifically, for Cauchy stable noise we calculate the steady-state probability density function for an infinitely deep rectangular potential well and for a symmetric steep potential well of the type U(x)∞x2m. For these potential profiles and arbitrary Levy index α, we obtain the asymptotic expression of the spectral power density.
Lingua originaleEnglish
pagine (da-a)054039-1-054039-13
Numero di pagine13
RivistaJournal of Statistical Mechanics: Theory and Experiment
Volume2016
Stato di pubblicazionePublished - 2016

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 'Spectral characteristics of steady-state Lévy flights in confinement potential profiles'. Insieme formano una fingerprint unica.

Cita questo