Near equilibrium the second time derivative of KL divergence equals twice the Fisher information for detailed-balance Markov processes, but this equality is violated near nonequilibrium steady states, giving a bound on entropy production rate.
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A trajectory-level derivation shows mutual linearity holds for non-stationary Markov jump processes and generalizes to other systems.
Derives nonlinear response relations for Markovian stochastic systems as covariances with a Bell-polynomial conjugate variable set by stochastic entropy production, plus associated fluctuation-response inequalities.
citing papers explorer
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Information-Geometric Signatures of Nonconservative Driving
Near equilibrium the second time derivative of KL divergence equals twice the Fisher information for detailed-balance Markov processes, but this equality is violated near nonequilibrium steady states, giving a bound on entropy production rate.
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Mutual Linearity in and out of Stationarity for Markov Jump Processes: A Trajectory-Based Approach
A trajectory-level derivation shows mutual linearity holds for non-stationary Markov jump processes and generalizes to other systems.
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Nonlinear Response Relations and Fluctuation-Response Inequalities for Nonequilibrium Stochastic Systems
Derives nonlinear response relations for Markovian stochastic systems as covariances with a Bell-polynomial conjugate variable set by stochastic entropy production, plus associated fluctuation-response inequalities.