Breakdown of the Fluctuation-Dissipation Theorem for fast superdiffusion

Details Breakdown of the Fluctuation-Dissipation Theorem for fast superdiffusion Breakdown of the Fluctuation-Dissipation Theorem for fast superdiffusion

2002-07-30

arxiv.org/abs/cond-mat/0207718v1

Physics

Condensed Matter

Statistical Mechanics

5 pages with figures

Scientific paper

We study anomalous diffusion for one-dimensional systems described by a generalized Langevin equation. We show that superdiffusion can be classified in slow superdiffusion and fast superdiffusion. For fast superdiffusion we prove that the Fluctuation-Dissipation Theorem does not hold. We show as well that the asymptotic behavior of the response function is a stretched exponential for anomalous diffusion and an exponential only for normal diffusion.

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