Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-01-21
J. Stat. Mech. (2011) L01002
Physics
Condensed Matter
Statistical Mechanics
10 pages, 4 figures
Scientific paper
We study how the Einstein relation between spontaneous fluctuations and the response to an external perturbation holds in the absence of currents, for the comb model and the elastic single-file, which are examples of systems with subdiffusive transport properties. The relevance of non-equilibrium conditions is investigated: when a stationary current (in the form of a drift or an energy flux) is present, the Einstein relation breaks down, as is known to happen in systems with standard diffusion. In the case of the comb model, a general relation, which has appeared in the recent literature, between the response function and an unperturbed suitable correlation function, allows us to explain the observed results. This suggests that a relevant ingredient in breaking the Einstein formula, for stationary regimes, is not the anomalous diffusion but the presence of currents driving the system out of equilibrium.
Gradenigo Giacomo
Puglisi Alfio
Sarracino Alessandro
Villamaina Dario
Vulpiani Angelo
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