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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In overdamped nonlinear Langevin dynamics, thermodynamic dissipation due to nonconservative forces decomposes into oscillatory modes with dissipation proportional to frequency squared times mode intensity.
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.
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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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Koopman Mode Decomposition of Thermodynamic Dissipation in Nonlinear Langevin Dynamics
In overdamped nonlinear Langevin dynamics, thermodynamic dissipation due to nonconservative forces decomposes into oscillatory modes with dissipation proportional to frequency squared times mode intensity.
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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.
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