Aging and Rejuvenation with Fractional Derivatives

Details Aging and Rejuvenation with Fractional Derivatives Aging and Rejuvenation with Fractional Derivatives

2004-03-19

arxiv.org/abs/cond-mat/0403492v1

Phys. Rev. E 70, 036105 (2004)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures

Scientific paper

10.1103/PhysRevE.70.036105

We discuss a dynamic procedure that makes the fractional derivatives emerge in the time asymptotic limit of non-Poisson processes. We find that two-state fluctuations, with an inverse power-law distribution of waiting times, finite first moment and divergent second moment, namely with the power index mu in the interval 2>ta yields ord=mu -2. The intermediate time regime is probably incompatible with a picture based on fractional derivatives, or, at least, with a mono-order fractional derivative.

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