Milestoning estimators of dissipation in systems observed at a coarse resolution: When ignorance is truly bliss

Abstract

Many non-equilibrium, active processes are observed at a coarse-grained level, where different microscopic configurations are projected onto the same observable state. Such "lumped" observables display memory, and in many cases the irreversible character of the underlying microscopic dynamics becomes blurred, e.g., when the projection hides dissipative cycles. As a result, the observations appear less irreversible, and it is very challenging to infer the degree of broken time-reversal symmetry. Here we show, contrary to intuition, that by ignoring parts of the already coarse-grained state space we may -- via a process called milestoning -- improve entropy-production estimates. Milestoning systematically renders observations "closer to underlying microscopic dynamics" and thereby improves thermodynamic inference from lumped data assuming a given range of memory. Moreover, whereas the correct general physical definition of time-reversal in the presence of memory remains unknown, we here show by means of systematic, physically relevant examples that at least for semi-Markov processes of first and second order, waiting-time contributions arising from adopting a naive Markovian definition of time-reversal generally must be discarded.

References in corpus (45)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Thermodynamic uncertainty relation for biomolecular processes
• Dissipation bounds all steady-state current fluctuations
• Stochastic thermodynamics under coarse-graining
• Broken detailed balance and non-equilibrium dynamics in living systems
• Estimating dissipation from single stationary trajectories
• Quantifying dissipation using fluctuating currents
• {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
• Inferring dissipation from current fluctuations
• Inferring entropy production from short experiments
• Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems
• Inferring broken detailed balance in the absence of observable currents
• Estimating entropy production by machine learning of short-time fluctuating currents
• Entropy production estimation with optimal current
• Stochastic thermodynamics: From principles to the cost of precision
• Theory of Single File Diffusion in a Force Field
• Entropy production and coarse-graining in Markov processes
• The Lasting Effect of Initial Conditions on Single File Diffusion
• Motion of a driven tracer particle in a one-dimensional symmetric lattice gas
• Emergent memory and kinetic hysteresis in strongly driven networks
• Exact Coarse Graining Preserves Entropy Production out of Equilibrium
• Direct Route to Thermodynamic Uncertainty Relations and Their Saturation
• Tracer diffusion in crowded narrow channels. Topical review
• Thermodynamic Uncertainty Relation Bounds the Extent of Anomalous Diffusion
• Time-resolved statistics of snippets as general framework for model-free entropy estimators
• Dissipation in noisy chemical networks: The role of deficiency
• Scaling of Energy Dissipation in Nonequilibrium Reaction Networks
• Tightest bound on hidden entropy production from partially observed dynamics
• Violation of Local Detailed Balance Despite a Clear Time-Scale Separation
• Tracer dynamics in one dimensional gases of active or passive particles
• Fluctuations of Apparent Entropy Production in Networks with Hidden Slow Degrees of Freedom
• Mathematical, Thermodynamical, and Experimental Necessity for Coarse Graining Empirical Densities and Currents in Continuous Space
• Exact correlations in a single file system with a driven tracer
• Operationally Accessible Uncertainty Relations for Thermodynamically Consistent Semi-Markov Processes
• Unfolding Tagged Particle Histories in Single-File Diffusion: Exact Single- and Two-Tag Local Times Beyond Large Deviation Theory
• Coarse Graining Empirical Densities and Currents in Continuous-Space Steady States
• A Toolbox for Quantifying Memory in Dynamics Along Reaction Coordinates
• Fluctuating Entropy Production on the Coarse-Grained Level: Inference and Localization of Irreversibility
• Single-file diffusion in a bi-stable potential: signatures of memory in the barrier-crossing of a tagged-particle
• Dynamics of Run-and-Tumble Particles in Dense Single-File Systems
• Dissipative timescales from coarse-graining irreversibility
• Quality of the Thermodynamic Uncertainty Relation for Fast and Slow Driving
• Matrix product solution for a partially asymmetric 1D lattice gas with a free defect
• Thermodynamic inference in partially accessible Markov networks: A unifying perspective from transition-based waiting time distributions
• Driven tracer dynamics in a one dimensional quiescent bath

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• Local Order Controls the Onset of Oscillations in the Nonreciprocal Ising Model
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• Evidence and quantification of memory effects in competitive first passage events
• Precisely controlled colloids: A playground for path-wise non-equilibrium physics
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• Thermodynamic bounds and symmetries in first-passage problems of fluctuating currents
• Force-free kinetic inference of entropy production
• From observed transitions to hidden paths in Markov networks
• Compensating random transition-detection blackouts in Markov networks
• Experimentally accessible measurement of irreversibility in stochastic systems by categorizing single-molecule displacements
• A pedestrian's approach to large deviations in semi-Markov processes with an application to entropy production
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• Purely quantum memory in closed systems observed via imperfect measurements
• Counting observables in stochastic excursions
• Characteristic oscillations in frequency-resolved heat dissipation of linear time-delayed Langevin systems: Approach from the violation of the fluctuation-response relation
• Weak-Memory Dynamics in Discrete Time
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