Equality connecting energy dissipation with violation of fluctuation-response relation

Details Equality connecting energy dissipation with violation of fluctuation-response relation Equality connecting energy dissipation with violation of fluctuation-response relation

2005-02-21

arxiv.org/abs/cond-mat/0502505v3

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, submitted to Phys. Rev. Lett, v2: major revision, v3: minor revision

Scientific paper

10.1103/PhysRevLett.95.130602

In systems driven away from equilibrium, the velocity correlation function and the linear response function to a small perturbation force do not satisfy the fluctuation-response relation (FRR) due to the lack of detailed balance in contrast to equilibrium systems. In this Letter, an equality between an extent of the FRR violation and the rate of energy dissipation is proved for Langevin systems under non-equilibrium conditions. This equality enables us to calculate the rate of energy dissipation by quantifying the extent of the FRR violation, which can be measured experimentally.

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