Exact dynamical fluctuation-response relations are derived that split the finite-time covariance of time-integrated observables into initial variability and an integral of response kernels for nonautonomous Markov jump processes.
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An exact identity decomposes the power spectrum of general observables into a quadratic form of local responses at the same frequency for nonequilibrium steady states.
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Dynamical Fluctuation-Response Relations
Exact dynamical fluctuation-response relations are derived that split the finite-time covariance of time-integrated observables into initial variability and an integral of response kernels for nonautonomous Markov jump processes.