Absence of stationary states and non-Boltzmann distributions of fractional Brownian motion in shallow external potentials

We study the diffusive motion of a particle in a subharmonic potential of the form U ( x ) = | x | ^c (0 < c < 2) driven by long-range correlated, stationary fractional Gaussian noise ξ _α ( t ) with 0 < α ⩽ 2. In the absence of the potential the particle exhibits free fractional Brownian m...

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Bibliographic Details
Published in:New Journal of Physics
Main Authors: Tobias Guggenberger, Aleksei Chechkin, Ralf Metzler
Format: Article
Language:English
Published: IOP Publishing 2022-01-01
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac7b3c