Entropy production estimation with optimal current

Abstract

Entropy production characterizes the thermodynamic irreversibility and reflects the amount of heat dissipated into the environment and free energy lost in nonequilibrium systems. According to the thermodynamic uncertainty relation, we propose a deterministic method to estimate the entropy production from a single trajectory of system states. We explicitly and approximately compute an optimal current that yields the tightest lower bound using predetermined basis currents. Notably, the obtained tightest lower bound is intimately related to the multidimensional thermodynamic uncertainty relation. By proving the saturation of the thermodynamic uncertainty relation in the short-time limit, the exact estimate of the entropy production can be obtained for overdamped Langevin systems, irrespective of the underlying dynamics. For Markov jump processes, because the attainability of the thermodynamic uncertainty relation is not theoretically ensured, the proposed method provides the tightest lower bound for the entropy production. When entropy production is the optimal current, a more accurate estimate can be further obtained using the integral fluctuation theorem. We illustrate the proposed method using three systems: a four-state Markov chain, a periodically driven particle, and a multiple bead-spring model. The estimated results in all examples empirically verify the effectiveness and efficiency of the proposed method.

arXiv comment11 pages, 5 figures

References in corpus (45)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Thermodynamic uncertainty relation for biomolecular processes
• Dissipation bounds all steady-state current fluctuations
• Universal trade-off between power, efficiency, and constancy in steady-state heat engines
• Broken detailed balance and non-equilibrium dynamics in living systems
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Universal bounds on current fluctuations
• The Physical Origins of Entropy Production, Free Energy Dissipation and their Mathematical Representations
• Fluctuation theorem uncertainty relation
• Thermodynamic uncertainty relations from exchange fluctuation theorems
• Quantifying dissipation using fluctuating currents
• Current fluctuations and transport efficiency for general Langevin systems
• Discrete-time thermodynamic uncertainty relation
• Thermodynamics of precision in quantum non equilibrium steady states
• Generic Properties of Stochastic Entropy Production
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Inferring entropy production from short experiments
• Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
• Unified thermodynamic uncertainty relations in linear response
• Multidimensional thermodynamic uncertainty relations
• Entropy production in full phase space for continuous stochastic dynamics
• Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
• Uncertainty relations in stochastic processes: An information inequality approach
• Inferring broken detailed balance in the absence of observable currents
• Unifying Thermodynamic Uncertainty Relations
• Tightening the uncertainty principle for stochastic currents
• Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
• Thermodynamic uncertainty relations including measurement and feedback
• Bounds on current fluctuations in periodically driven systems
• Non-equilibrium thermodynamics of stochastic systems with odd and even variables
• Uncertainty relations for underdamped Langevin dynamics
• Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
• Effect of a magnetic field on the thermodynamic uncertainty relation
• Thermodynamic uncertainty relations under arbitrary control protocols
• Hyperaccurate currents in stochastic thermodynamics
• Thermodynamic uncertainty relation for underdamped Langevin systems driven by a velocity-dependent force
• Noninvasive Measurement of Dissipation in Colloidal Systems
• Uncertainty relation under information measurement and feedback control
• A unifying picture of generalized thermodynamic uncertainty relations
• Thermodynamic uncertainty relation for time-delayed Langevin systems
• Uncertainty relations for time-delayed Langevin systems
• An ordered set of power-efficiency trade-offs

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• Direct Route to Thermodynamic Uncertainty Relations and Their Saturation
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• Milestoning estimators of dissipation in systems observed at a coarse resolution: When ignorance is truly bliss
• Coarse-grained entropy production with multiple reservoirs: unraveling the role of time-scales and detailed balance in biology-inspired systems
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• Bounds on the rates of statistical divergences and mutual information via stochastic thermodynamics
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• Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum
• Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems
• Experimentally accessible measurement of irreversibility in stochastic systems by categorizing single-molecule displacements
• Violation of the thermodynamic uncertainty relation in quantum collisional models
• Information-thermodynamic bounds on precision in interacting quantum systems
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• Time-cost-error trade-off relation in thermodynamics: The third law and beyond
• Thermodynamic uncertainty relation in the overdamped limit with a magnetic Lorentz force