Hierarchical Bounds on Entropy Production Inferred from Partial Information

Abstract

Systems driven away from thermal equilibrium constantly deliver entropy to their environment. Determining this entropy production requires detailed information about the system's internal states and dynamics. However, in most practical scenarios, only a part of a complex experimental system is accessible to an external observer. In order to address this challenge, two notions of partial entropy production have been introduced in the literature as a way to assign an entropy production to an observed subsystem: one due to Shiraishi and Sagawa [Phys. Rev. E 91, 012130 (2015)] and another due to Polettini and Esposito [arXiv:1703.05715 (2017)]. We show that although both of these schemes provide a lower bound on the total entropy production, the latter -- which utilizes an effective thermodynamics description-- gives a better estimate of the total dissipation. Using this effective thermodynamic framework, we establish a partitioning of the total entropy production into two contributions that individually verify integral fluctuation theorems: an observable partial entropy production and a hidden entropy production assigned to the unobserved subsystem. Our results offer broad implications for both theoretical and empirical systems when only partial information is available.

References in corpus (30)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Path ensembles averages in systems driven far-from-equilibrium
• Dissipation: The phase-space perspective
• Three detailed fluctuation theorems
• Stochastic thermodynamics under coarse-graining
• Fluctuation theorems for stochastic dynamics
• The Three Faces of the Second Law: I. Master Equation Formulation
• Thermodynamics with continuous information flow
• Fluctuation theorem for currents and Schnakenberg network theory
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Efficiency of cellular information processing
• Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
• Lower bounds on dissipation upon coarse graining
• Second-law-like inequalities with information and their interpretations
• Fluctuation Relations for Diffusion Processes
• Anomalous thermodynamics at the micro-scale
• Fluctuation relations and coarse-graining
• Fluctuation Theorem for Hidden Entropy Production
• Role of measurement-feedback separation in autonomous Maxwell's demons
• An illustrative example of the relationship between dissipation and relative entropy
• Fluctuation preserving coarse graining for biochemical systems
• Effective rates from thermodynamically consistent coarse-graining of models for molecular motors with probe particles
• Observation of Autler-Townes effect in a dispersively dressed Jaynes-Cummings system
• Continuous information flow fluctuations
• Measurement-feedback formalism meets information reservoirs
• Inflow rate, a time-symmetric observable obeying fluctuation relations
• Fluctuation relations for driven coupled classical two-level systems
• Inequalities generalizing the second law of thermodynamics for transitions between non-stationary states
• Fluctuations of Entropy Production in Partially Masked Electric Circuits: Theoretical Analysis

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• Effective thermodynamics of two interacting underdamped Brownian particles
• Thermodynamic uncertainty for run-and-tumble type processes
• Hidden slow degrees of freedom and fluctuation theorems: an analytically solvable model
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• Taking snapshots of a quantum thermalization process: emergent classicality in quantum jump trajectories
• Second Law of Thermodynamics without Einstein Relation
• Scaling behavior of non-equilibrium measures in internally driven elastic assemblies
• An estimator of entropy production for partially accessible Markov networks based on the observation of blurred transitions
• Variance sum rule: proofs and solvable models
• Entropy estimation for partially accessible Markov networks based on imperfect observations: Role of finite resolution and finite statistics
• Partial entropy production in heat transport
• Estimate of entropy generation rate can spatiotemporally resolve the active nature of cell flickering
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• Tight uncertainty relations for cycle currents
• Inferring entropy production in many-body systems using nonequilibrium maximum entropy
• Multicyclic norias: a first-transition approach to extreme values of the currents
• Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform
• Effective Affinity for Generic Currents in Markov Processes
• Force-free kinetic inference of entropy production
• Counting observables in stochastic excursions
• Framework for fluctuating times and counting observables in stochastic excursions
• Signals of Detailed Balance Violation in Nonequilibrium Stationary States: Subtle, Manifest, and Extraordinary
• Fluctuation-response relation of time-symmetric quantities around general nonequilibrium stationary state
• Coarse-grained quantum thermodynamics: Observation-dependent quantities, observation-independent laws
• Consistent expansion of the Langevin propagator with application to entropy production
• Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining
• Excess and loss of entropy production for different levels of coarse-graining