English

Violation of the fluctuation-dissipation theorem for fast superdiffusion

Statistical Mechanics 2009-11-10 v1

Abstract

We study anomalous diffusion for one-dimensional systems described by a generalized Langevin equation. We show that superdiffusion can be classified in normal superdiffusion and fast superdiffusion. For fast superdiffusion, we prove that the Fluctuation-Dissipation Theorem does not hold, which induces an effective temperature in the system. This effective temperature is a signature of metastability found in many complex system such as Spin-Glass and granular material.

Keywords

Cite

@article{arxiv.cond-mat/0304285,
  title  = {Violation of the fluctuation-dissipation theorem for fast superdiffusion},
  author = {Ismael V. L. Costa and Rafael Morgado and Marcos V. B. T. Lima and Fernando A. Oliveira},
  journal= {arXiv preprint arXiv:cond-mat/0304285},
  year   = {2009}
}

Comments

5 pages and 2 figures

R2 v1 2026-07-22T10:48:47.684Z