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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Presents a memory uncertainty relation bounding short-term memory from below in dynamical systems, with harmonic memory as the lower bound, and analyzes equality cases plus noise-induced memory under regularization in noisy reservoir systems.
Reviews information-based approaches for measuring physical entropy in nonequilibrium steady and absorbing states, noting their distinction from general statistical entropy estimation and their application to diverse physical systems.
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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.
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Memory Uncertainty Relation and Harmonic Memory in Random Recurrent Networks
Presents a memory uncertainty relation bounding short-term memory from below in dynamical systems, with harmonic memory as the lower bound, and analyzes equality cases plus noise-induced memory under regularization in noisy reservoir systems.
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Perspective: Measuring physical entropy out of equilibrium
Reviews information-based approaches for measuring physical entropy in nonequilibrium steady and absorbing states, noting their distinction from general statistical entropy estimation and their application to diverse physical systems.
- Nonequilibrium Fluctuation-Response Theory in the Frequency Domain