Breakdown of the Fluctuation-Dissipation Theorem for fast superdiffusion

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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.
5 pages with figures

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/19702

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0207718
 http://arxiv.org/abs/cond-mat/0207718

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arXiv