A General Fluctuation–Response Relation for Noise Variations and its Application to Driven Hydrodynamic Experiments

The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation–response relation. This formula holds also for systems with state-independent nontrivial diffusivity matrices, as we show with an application to...

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Bibliographic Details
Published in:Journal of statistical physics 2017-04, Vol.167 (1), p.29-45
Main Authors: Yolcu, Cem, Bérut, Antoine, Falasco, Gianmaria, Petrosyan, Artyom, Ciliberto, Sergio, Baiesi, Marco
Format: Article
Language:English
Subjects:
Colloids
Condensed Matter
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Mechanics
Statistical Physics and Dynamical Systems
Theoretical
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Summary:The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation–response relation. This formula holds also for systems with state-independent nontrivial diffusivity matrices, as we show with an application to an experiment of two trapped and hydrodynamically coupled colloids, one of which is subject to an external random forcing that mimics an effective temperature. The nonequilibrium susceptibility of the energy to a variation of this driving is an example of our formulation, which improves an earlier version, as it does not depend on the time-discretization of the stochastic dynamics. This scheme holds for generic systems with additive noise and can be easily implemented numerically, thanks to matrix operations.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-017-1732-z