Breakdown of the Fluctuation-Dissipation Theorem for fast superdiffusion
Costa, Ismael V. L. · Morgado, Rafael · Lima, Marcos V. B. T. · Oliveira, Fernando A.
Original · EN
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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