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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Markovian state dynamics are thermodynamically incomplete because reservoir-channel assignments can vary while leaving the master equation unchanged, yielding different heat currents, entropy production, and noise.
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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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Thermodynamic incompleteness of state dynamics in Markovian transport
Markovian state dynamics are thermodynamically incomplete because reservoir-channel assignments can vary while leaving the master equation unchanged, yielding different heat currents, entropy production, and noise.