Information flow in bipartite Markov systems is split into a housekeeping part that maintains correlations through cyclic modes and an excess part that changes mutual information through conservative forces.
Generalized free energy and excess/housekeeping decomposition in nonequilibrium systems: from large deviations to thermodynamic speed limits
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abstract
In genuine nonequilibrium systems that undergo continuous driving, the thermodynamic forces are nonconservative, meaning they cannot be described by any free energy potential. Nonetheless, we show that the dynamics of such systems are governed by a "generalized free energy" that is derived from a large-deviations variational principle. This variational principle also yields a decomposition of fluxes, forces, and dissipation (entropy production) into a conservative "excess" part and a nonconservative "housekeeping" part. Our decomposition is universally applicable to stochastic master equations, deterministic chemical reaction networks, and open systems. We also show that the excess entropy production obeys a thermodynamic speed limit (TSL), a fundamental thermodynamic constraint on the rate of state evolution and/or external fluxes. We demonstrate our approach on several examples, including real-world metabolic networks, where we derive fundamental dissipation bounds and uncover "futile" metabolic cycles. Our generalized free energy and decomposition are empirically accessible to thermodynamic inference in both stochastic and deterministic systems. We discuss important connections to several theoretical frameworks, including information geometry and Onsager theory, as well as previous excess/housekeeping decompositions.
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cond-mat.stat-mech 3verdicts
UNVERDICTED 3representative citing papers
Derives duality between dissipation-coherence trade-off and thermodynamic speed limit for general stochastic limit cycles via dual observables substituted into the thermodynamic uncertainty relation in the weak-noise limit.
A unified framework based on generalized means derives an infinite family of thermodynamic speed limits for Markov jump processes and chemical reaction networks, each giving a lower bound on entropy production.
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Derives duality between dissipation-coherence trade-off and thermodynamic speed limit for general stochastic limit cycles via dual observables substituted into the thermodynamic uncertainty relation in the weak-noise limit.
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