Fractional Langevin Equation of Distributed Order

Details Fractional Langevin Equation of Distributed Order Fractional Langevin Equation of Distributed Order

2010-10-16

arxiv.org/abs/1010.3327v2

Physical Review E 83, 031136 (2011)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 2 figures

Scientific paper

10.1103/PhysRevE.83.031136

Distributed order fractional Langevin-like equations are introduced and applied to describe anomalous diffusion without unique diffusion or scaling exponent. It is shown that these fractional Langevin equations of distributed order can be used to model the kinetics of retarding subdiffusion whose scaling exponent decreases with time, and the strongly anomalous ultraslow diffusion with mean square displacement which varies asymptoically as a power of logarithm of time.

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