Exact Coarse Graining Preserves Entropy Production out of Equilibrium

Abstract

The entropy production rate associated with broken time-reversal symmetry provides an essential characterization of nanosystems out of equilibrium, from driven colloidal particles to molecular motors. Limited access to the dynamical states is generally expected to hinder the correct estimation of this observable. Here we show how memoryless jump processes can be coarse grained exactly preserving its average and fluctuations at stationarity. This supports univocal applicability of fluctuation theorems for entropy and allows inference of the genuine thermodynamics together with inaccessible process details.

References in corpus (23)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The large deviation approach to statistical mechanics
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Fluctuation theorem for stochastic dynamics
• The Nonequilibrium Thermodynamics of Small Systems
• Brownian motors
• Stochastic thermodynamics under coarse-graining
• Inferring broken detailed balance in the absence of observable currents
• Non-equilibrium and information: the role of cross-correlations
• Non-equilibrium fluctuations and mechanochemical couplings of a molecular motor
• Effective thermodynamics for a marginal observer
• Fluctuation relations and coarse-graining
• Entropy production and coarse-graining in Markov processes
• Hierarchical Bounds on Entropy Production Inferred from Partial Information
• Broken Detailed Balance of Filament Dynamics in Active Networks
• Fluctuation Theorem for Hidden Entropy Production
• Continuous time random walk for open systems: Fluctuation theorems and counting statistics
• Extended Kinetic Models with Waiting-Time Distributions: Exact Results
• Experimental measurement of binding energy, selectivity and allostery using fluctuation theorems
• Dynamic force spectroscopy of DNA hairpins. I. Force kinetics and free energy landscapes
• Rate dependence of current and fluctuations in jump models with negative differential mobility

Cited by in corpus (40)

• Estimating entropy production from waiting time distributions
• Variance Sum Rule for Entropy Production
• Emergent memory and kinetic hysteresis in strongly driven networks
• Relaxation shortcuts through boundary coupling
• Time-resolved statistics of snippets as general framework for model-free entropy estimators
• Milestoning estimators of dissipation in systems observed at a coarse resolution: When ignorance is truly bliss
• Eigenvalue crossing as a phase transition in relaxation dynamics
• Landau Theory for the Mpemba Effect Through Phase Transitions
• Inference in non-equilibrium systems from incomplete information: the case of linear systems and its pitfalls
• Tightest bound on hidden entropy production from partially observed dynamics
• Violation of Local Detailed Balance Despite a Clear Time-Scale Separation
• Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
• Local detailed balance across scales: from diffusions to jump processes and beyond
• Thermodynamic cost for precision of general counting observables
• Operationally Accessible Uncertainty Relations for Thermodynamically Consistent Semi-Markov Processes
• Anomalous dynamical scaling determines universal critical singularities
• Universal singularities of anomalous diffusion in the Richardson class
• Entropic measure unveils country competitiveness and product specialization in the World trade web
• Scaling of Entropy Production under Coarse Graining in Active Disordered Media
• On the emergence of memory in equilibrium versus non-equilibrium systems
• Modeling of biomolecular machines in non-equilibrium steady states
• Variance sum rule: proofs and solvable models
• An estimator of entropy production for partially accessible Markov networks based on the observation of blurred transitions
• Asymmetries of thermal processes in open quantum systems
• Entropy estimation for partially accessible Markov networks based on imperfect observations: Role of finite resolution and finite statistics
• Thermodynamic inference in partially accessible Markov networks: A unifying perspective from transition-based waiting time distributions
• Dissipation at limited resolutions: Power law and detection of hidden dissipative scales
• Predicting the Mpemba Effect Using Machine Learning
• Inference of Time-Reversal Asymmetry from Time Series in a Piezoelectric Energy Harvester
• First and Second Laws of Information Processing by Nonequilibrium Dynamical States
• Thermodynamic bounds and symmetries in first-passage problems of fluctuating currents
• Dynamics of micro and nanoscale systems in the weak-memory regime: A mathematical framework beyond the Markov approximation
• Coarse-graining and symplectic non-squeezing
• Force-free kinetic inference of entropy production
• Universal and non-universal signatures in the scaling functions of critical variables
• Family-Vicsek universality of the binary intrinsic dimension of nonequilibrium data
• Purely quantum memory in closed systems observed via imperfect measurements
• A pedestrian's approach to large deviations in semi-Markov processes with an application to entropy production
• Excess and loss of entropy production for different levels of coarse-graining
• Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining