The Fluctuation-Dissipation Theorem fails for fast superdiffusion
Institute of Physics and International Center of Condensed Matter Physics
University of Brasília, CP 04513, 70919-970, Brasília-DF, Brazil
Accepted: 14 May 2003
We study anomalous diffusion for one-dimensional systems described by a generalized Langevin equation. We show that superdiffusive systems can be divided into two classes: normal and fast. For fast superdiffusion we prove that the Fluctuation-Dissipation Theorem does not hold. As a result, the system acquires an effective temperature. This effective temperature is a signature of metastability found in many complex systems such as spin-glass and granular material.
PACS: 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 05.40.Ca – Noise / 05.40.Jc – Brownian motion
© EDP Sciences, 2003