Accelerating and Retarding Anomalous Diffusion

Details Accelerating and Retarding Anomalous Diffusion Accelerating and Retarding Anomalous Diffusion

2012-01-14

arxiv.org/abs/1201.3024v2

Physics

Condensed Matter

Statistical Mechanics

18 page, 1 figure

Scientific paper

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 long time 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.

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