Thermodynamic constraints on the nonequilibrium response of one-dimensional diffusions

Abstract

We analyze the static response to perturbations of nonequilibrium steady states that can be modeled as one-dimensional diffusions on the circle. We demonstrate that an arbitrary perturbation can be broken up into a combination of three specific classes of perturbations that can be fruitfully addressed individually. For each class, we derive a simple formula that quantitatively characterizes the response in terms of the strength of nonequilibrium driving valid arbitrarily far from equilibrium.

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• Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds
• Dissipation bounds precision of current response to kinetic perturbations
• Trade-offs between number fluctuations and response in nonequilibrium chemical reaction networks
• Nonequilibrium fluctuation-response relations for state observables
• Nonequilibrium fluctuation-response relations for state-current correlations
• Macroscopic fluctuation-response theory and its use for gene regulatory networks