Fluctuation-Dissipation Relation in a Nonequilibrium Quantum Fluid

There is no simple fluctuation-dissipation theorem (FDT) for nonequilibrium systems. We show that for a fluid in a nonequilibrium steady state (NESS) characterized by a constant temperature gradient there is a generalized FDT that relates commutator correlation functions to the bilinear response of...

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Bibliographic Details
Published inPhysical review letters Vol. 131; no. 24; p. 244001
Main Authors Kirkpatrick, T R, Belitz, D
Format Journal Article
LanguageEnglish
Published United States 15.12.2023
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Summary:There is no simple fluctuation-dissipation theorem (FDT) for nonequilibrium systems. We show that for a fluid in a nonequilibrium steady state (NESS) characterized by a constant temperature gradient there is a generalized FDT that relates commutator correlation functions to the bilinear response of products of observables. This allows for experimental probes of the long-range correlations in such a system, quantum or classical, via response experiments. We also show that the correlations are not tied to thermal fluctuations but are intrinsic to the NESS and reflect a generalized rigidity.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.131.244001