6533b831fe1ef96bd129901b
RESEARCH PRODUCT
Spectral characteristics of steady-state Lévy flights in confinement potential profiles
A A KharchevaDavide ValentiAlexander A. DubkovBartłomiej DybiecBernardo Spagnolosubject
Statistics and Probabilityrigorous results in statistical mechanicSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciSteady stateMathematical analysisCauchy distributionstochastic processes (theory)Statistical and Nonlinear PhysicsProbability density functionrigorous results in statistical mechanics; stochastic particle dynamics; stochastic processes (theory); Statistical and Nonlinear Physics; Statistics and Probability; Statistics Probability and UncertaintyType (model theory)01 natural sciencesNoise (electronics)010305 fluids & plasmasstochastic particle dynamicLévy flight0103 physical sciencesStatistics Probability and Uncertainty010306 general physicsStatistical and Nonlinear PhysicPower densityMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-05-20 | Journal of Statistical Mechanics: Theory and Experiment |