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.
Schnakenberg, Network theory of microscopic and macroscopic behavior of master equation systems, Re- views of Modern physics48, 571 (1976)
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Multi-time correlations of state observations are combined via a reconstruction operation into a hierarchy of successively tighter lower bounds on entropy production rate that converge to the true value with dense sampling.
In overdamped nonlinear Langevin dynamics, thermodynamic dissipation due to nonconservative forces decomposes into oscillatory modes with dissipation proportional to frequency squared times mode intensity.
In stochastic systems with non-diagonal noise and switching environments, mutual information includes irreducible static and dynamic interference terms that prevent simple decomposition.
A new inequality bounds average dissipation rate in Markov jump processes via precision coefficients on recurrence times and integrated currents, saturating under weaker conditions than the TUR.
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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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Hierarchical Reconstruction of Time-arrow from Multi-time Correlations
Multi-time correlations of state observations are combined via a reconstruction operation into a hierarchy of successively tighter lower bounds on entropy production rate that converge to the true value with dense sampling.
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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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Emergence of information interference in stochastic systems with non-diagonal noise and switching environments
In stochastic systems with non-diagonal noise and switching environments, mutual information includes irreducible static and dynamic interference terms that prevent simple decomposition.
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Using precision coefficients on recurrence times and integrated currents to lower bound the average dissipation rate
A new inequality bounds average dissipation rate in Markov jump processes via precision coefficients on recurrence times and integrated currents, saturating under weaker conditions than the TUR.