Force-free kinetic inference of entropy production

Abstract

Estimating entropy production, which quantifies irreversibility and energy dissipation, remains a significant challenge despite its central role in nonequilibrium physics. We propose a novel method for estimating the mean entropy production rate $\sigma$ that relies solely on position traces, bypassing the need for flux or microscopic force measurements. Starting from a recently introduced variance sum rule, we express $\sigma$ in terms of measurable steady-state correlation functions which we link to previously studied kinetic quantities, known as traffic and inflow rate. Under realistic constraints of limited access to dynamical degrees of freedom, we derive efficient bounds on $\sigma$ by leveraging the information contained in the system's traffic, enabling partial but meaningful estimates of $\sigma$. We benchmark our results across several orders of magnitude in $\sigma$ using two models: a linear stochastic system and a nonlinear model for spontaneous hair-bundle oscillations. Our approach offers a practical and versatile framework for investigating entropy production in nonequilibrium systems.

References in corpus (60)

• 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
• Fluctuation theorem for stochastic dynamics
• Thermodynamic uncertainty relation for biomolecular processes
• Equality connecting energy dissipation with violation of fluctuation-response relation
• Broken detailed balance and non-equilibrium dynamics in living systems
• Estimating dissipation from single stationary trajectories
• Fluctuation theorem uncertainty relation
• Finite-time generalization of the thermodynamic uncertainty relation
• Quantifying dissipation using fluctuating currents
• Entropy production and time asymmetry in nonequilibrium fluctuations
• Inferring entropy production from short experiments
• Inferring dissipation from current fluctuations
• Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems
• Unified thermodynamic uncertainty relations in linear response
• Inferring broken detailed balance in the absence of observable currents
• Uncertainty relations in stochastic processes: An information inequality approach
• Irreversibility, heat and information flows induced by non-reciprocal interactions
• Estimating entropy production by machine learning of short-time fluctuating currents
• Steady state statistics of driven diffusions
• Kinetic uncertainty relation
• Unifying Thermodynamic Uncertainty Relations
• Frenesy: time-symmetric dynamical activity in nonequilibria
• Non-equilibrium and information: the role of cross-correlations
• Entropy production estimation with optimal current
• Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
• Improved bounds on entropy production in living systems
• The Entropy Production of Ornstein-Uhlenbeck Active Particles: a path integral method for correlations
• Inferring the dynamics of underdamped stochastic systems
• Two-temperature Langevin dynamics in a parabolic potential
• Hierarchical Bounds on Entropy Production Inferred from Partial Information
• Frenetic bounds on the entropy production
• Learning force fields from stochastic trajectories
• Play. Pause. Rewind. Measuring local entropy production and extractable work in active matter
• Unified thermodynamic-kinetic uncertainty relation
• Variance Sum Rule for Entropy Production
• Exact Coarse Graining Preserves Entropy Production out of Equilibrium
• Direct Route to Thermodynamic Uncertainty Relations and Their Saturation
• Estimating time-dependent entropy production from non-equilibrium trajectories
• Hyperaccurate currents in stochastic thermodynamics
• Two-temperature Brownian dynamics of a particle in a confining potential
• Asymmetry relations and effective temperatures for biased Brownian gyrators
• Milestoning estimators of dissipation in systems observed at a coarse resolution: When ignorance is truly bliss
• Quantitative analysis of non-equilibrium systems from short-time experimental data
• Inference in non-equilibrium systems from incomplete information: the case of linear systems and its pitfalls
• Learning the Non-Equilibrium Dynamics of Brownian Movies
• Entropy production for coarse-grained dynamics
• Fluctuation Properties of Steady-State Langevin Systems
• Thermodynamic cost for precision of general counting observables
• Building general Langevin models from discrete data sets
• Mathematical, Thermodynamical, and Experimental Necessity for Coarse Graining Empirical Densities and Currents in Continuous Space
• Coarse Graining Empirical Densities and Currents in Continuous-Space Steady States
• Modelling Active Non-Markovian Oscillations
• Inflow rate, a time-symmetric observable obeying fluctuation relations
• A thermodynamic uncertainty relation for a system with memory
• Effective estimation of entropy production with lacking data
• Conceptual and practical approaches for investigating irreversible processes
• 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

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