2017
DOI: 10.1007/s10955-017-1732-z
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A General Fluctuation–Response Relation for Noise Variations and its Application to Driven Hydrodynamic Experiments

Abstract: 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 v… Show more

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Cited by 15 publications
(17 citation statements)
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“…The role of time-symmetric activity becomes evident in a version of linear response [36,37,39,44,45] in which the differential mobility, the change of a current J over [0, t] due to a variation of a parameter or to a perturbation,…”
Section: Discussion On Nondissipative Effectsmentioning
confidence: 99%
See 1 more Smart Citation
“…The role of time-symmetric activity becomes evident in a version of linear response [36,37,39,44,45] in which the differential mobility, the change of a current J over [0, t] due to a variation of a parameter or to a perturbation,…”
Section: Discussion On Nondissipative Effectsmentioning
confidence: 99%
“…the blowtorch theorem of Landauer [29,30]. A steady nonequilibrium condition for an open system is not only characterized by dissipation, but also by kinetic aspects that quantify the activity in the system and that are nondissipative by definition [16,29,[31][32][33][35][36][37][38][39][40][41][42][43][44][45].…”
Section: Introductionmentioning
confidence: 99%
“…The experimental test of some fluctuation-dissipation relations has been recently done in Refs. [18,61,137,138] for colloidal particles in toroidal optical traps and in systems subjected to thermal gradients [139,140]. We do not describe here specific experimental results which have already been widely discussed in the abovementioned articles (see also Refs.…”
Section: Fluctuation Dissipation Relations For Nessmentioning
confidence: 99%
“…The latter naturally emerges in Markov systems with discrete states as a consequence of temporal coarse-graining; for a more general discussion on delayed and non-delayed contributions in the linear theories see, e.g., Section 3.1.2 in [8]. For other considerations of fluctuation-response relations for thermal perturbations in overdamped diffusions, see [5].…”
Section: Temperature-heat Responsementioning
confidence: 99%