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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Local perturbations in nonequilibrium Langevin dynamics induce linear relations between stationary densities and currents at different positions due to an underlying one-dimensional response structure.
Derives spectral inequalities bounding the deviation of causal susceptibility from equilibrium FDT reference by entropy production rate and relaxation timescales in driven Markov jump processes.
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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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Mutual Linearity in Nonequilibrium Langevin Dynamics
Local perturbations in nonequilibrium Langevin dynamics induce linear relations between stationary densities and currents at different positions due to an underlying one-dimensional response structure.
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Spectral Fluctuation-Dissipation-Response Inequalities
Derives spectral inequalities bounding the deviation of causal susceptibility from equilibrium FDT reference by entropy production rate and relaxation timescales in driven Markov jump processes.