Einstein relation in superdiffusive systems

被引：12

作者：

Gradenigo, G. ^{[1
,2
]}

Sarracino, A. ^{[1
,2
]}

Villamaina, D. ^{[3
]}

Vulpiani, A. ^{[1
,2
]}

机构：

[1] Univ Roma La Sapienza, CNR, Ist Sistemi Complessi, I-00185 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

[3] Univ Paris 11, CNRS, LPTMS, UMR 8626, F-91405 Orsay, France

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2012年

关键词：

driven diffusive systems (theory); stochastic particle dynamics (theory); transport processes/heat transfer (theory); current fluctuations; STRONG ANOMALOUS DIFFUSION; FLUCTUATION-DISSIPATION; RANDOM-WALKS; EQUATIONS; MODELS;

D O I：

10.1088/1742-5468/2012/06/L06001

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the Einstein relation between diffusion and response to an external field in systems showing superdiffusion. In particular, we investigate a continuous time Levy walk where the velocity remains constant for a time tau with distribution P-tau(tau) similar to tau(-g). At varying g the diffusion can be standard or anomalous; in spite of this, if in the unperturbed system a current is absent, the Einstein relation holds. In the case where a current is present the scenario is more complicated and the usual Einstein relation fails. This suggests that the main ingredient for the breaking of the Einstein relation is not the anomalous diffusion but the presence of a mean drift (current).

引用

页数：9

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