arXiv subjects

Marcos V. B. T. Lima

Publications and source records attributed to Marcos V. B. T. Lima.

2 recordsLinked to original sources

arXiv2003

Violation of the fluctuation-dissipation theorem for fast superdiffusion

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.

cond-mat.stat-mech↗

arXiv2002

Breakdown of the Fluctuation-Dissipation Theorem for fast superdiffusion

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.

cond-mat.stat-mech↗