ArticleProceedings of the National Academy of Sciences of the United States of America2020
Fluctuation-response inequality out of equilibrium.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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8 citing papers in PubMed.
- A fundamental trade-off among noise suppression, response sensitivity and speed in biological feedback networks.NPJ systems biology and applications · 2026Article
- Identification and quantification of irreversibility in stochastic systems.Physical chemistry chemical physics : PCCP · 2026Review
- Stochastic thermodynamics for biological functions.Quantitative biology (Beijing, China) · 2025Review
- Jointly efficient encoding and decoding in neural populations.PLoS computational biology · 2024Article
- Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence.Nature communications · 2023Article
- Article
- Phonon heat transport in cavity-mediated optomechanical nanoresonators.Nature communications · 2020Article
- Information physics of living matters.Biophysics and physicobiology · 2020Article
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2 authors.
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Abstract
We present an approach to response around arbitrary out-of-equilibrium states in the form of a fluctuation-response inequality (FRI). We study the response of an observable to a perturbation of the underlying stochastic dynamics. We find that the magnitude of the response is bounded from above by the fluctuations of the observable in the unperturbed system and the Kullback-Leibler divergence between the probability densities describing the perturbed and the unperturbed system. This establishes a connection between linear response and concepts of information theory. We show that in many physical situations, the relative entropy may be expressed in terms of physical observables. As a direct consequence of this FRI, we show that for steady-state particle transport, the differential mobility is bounded by the diffusivity. For a "virtual" perturbation proportional to the local mean velocity, we recover the thermodynamic uncertainty relation (TUR) for steady-state transport processes. Finally, we use the FRI to derive a generalization of the uncertainty relation to arbitrary dynamics, which involves higher-order cumulants of the observable. We provide an explicit example, in which the TUR is violated but its generalization is satisfied with equality.
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