Accelerating and retarding anomalous diffusion

Eab, Chai Hok and Lim, S C (2012) Accelerating and retarding anomalous diffusion. Journal of Physics A: Mathematical and Theoretical, 45 (14). 145001--. ISSN 1751-8113

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Official URL: http://dx.doi.org/10.1088/1751-8113/45/14/145001

Abstract

In this paper, Gaussian models of retarded and accelerated anomalous diffusion are considered. Stochastic differential equations of fractional order driven by single or multiple fractional Gaussian noise terms are introduced to describe retarding and accelerating subdiffusion and superdiffusion. Short-and longtime asymptotic limits of the mean-squared displacement of the stochastic processes associated with the solutions of these equations are studied. Specific cases of these equations are shown to provide possible descriptions of retarding or accelerating anomalous diffusion.

Item Type: Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Engineering (FOE)
Depositing User: Ms Rosnani Abd Wahab
Date Deposited: 14 May 2012 02:37
Last Modified: 14 May 2012 02:37
URI: http://shdl.mmu.edu.my/id/eprint/3520

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