Ultraslow scaled Brownian motion

We define and study in detail utraslow scaled Brownian motion (USBM) characterized by a time dependent diffusion coefficient of the form $D(t)\simeq 1/t$ . For unconfined motion the mean squared displacement (MSD) of USBM exhibits an ultraslow, logarithmic growth as function of time, in contrast to...

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Bibliographic Details
Main Authors: Anna S Bodrova, Aleksei V Chechkin, Andrey G Cherstvy, Ralf Metzler
Format: Article
Language:English
Published: IOP Publishing 2015-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/17/6/063038