The fluctuation-dissipation relation in sub-diffusive systems: the case of granular single-file diffusion

被引：32
作者：
Villamaina, D. [1 ]
Puglisi, A. [2 ]
Vulpiani, A. [2 ,3 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[2] CNISM, Dipartimento Fis, I-00185 Rome, Italy
[3] Univ Roma La Sapienza, Ist Nazl Fis Nucl, I-00185 Rome, Italy
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2008年
关键词：
Brownian motion; granular matter; fluctuations (theory); diffusion;
D O I：
10.1088/1742-5468/2008/10/L10001
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We study a gas of hard rods on a ring, driven by an external thermostat, with either elastic or inelastic collisions, which exhibits sub-diffusive behavior, < x(2)> similar to t(1/2). We show the validity of the usual fluctuation-dissipation (FD) relation, i.e. the proportionality between the response function and the correlation function, when the gas is elastic or diluted. In contrast, in strongly inelastic or dense cases, when the tracer velocity is no longer independent of the other degrees of freedom, the Einstein formula fails and must be replaced by a more general FD relation.
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页数：9
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