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

  • Autori: Kharcheva, A.; Dubkov, A.; Dybiec, B.; Spagnolo, B.; Valenti, D.
  • Anno di pubblicazione: 2016
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • OA Link:


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.