Stochastic acceleration in generalized squared Bessel processes

Davide Valenti, Bernardo Spagnolo, Chichigina, Spagnolo, Dubkov

Risultato della ricerca: Article

5 Citazioni (Scopus)

Abstract

We analyze the time behavior of generalized squared Bessel processes, which are useful for modeling the relevant scales of stochastic acceleration problems. These nonstationary stochastic processes obey a Langevin equation with a non-Gaussian multiplicative noise. We obtain the long-time asymptotic behavior of the probability density function for non-Gaussian white and colored noise sources. We find that the functional form of the probability density functions is independent of the statistics of the noise source considered. Theoretical results are in good agreement with those obtained by numerical simulations of the Langevin equation with pulse noise sources.
Lingua originaleEnglish
pagine (da-a)1-16
Numero di pagine16
RivistaJournal of Statistical Mechanics: Theory and Experiment
Volume2015
Stato di pubblicazionePublished - 2015

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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