An estimator of entropy production for partially accessible Markov networks based on the observation of blurred transitions
arXiv:2312.08246 · doi:10.1103/PhysRevE.109.054109
Abstract
A central task in stochastic thermodynamics is the estimation of entropy production for partially accessible Markov networks. We establish an effective transition-based description for such networks with transitions that are not distinguishable and therefore blurred for an external observer. We demonstrate that, in contrast to a description based on fully resolved transitions, this effective description is typically non-Markovian at any point in time. Starting from an information-theoretic bound, we derive an operationally accessible entropy estimator for this observation scenario. We illustrate the operational relevance and the quality of this entropy estimator with a numerical analysis of various representative examples.
References in corpus (39)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Thermodynamic uncertainty relation for biomolecular processes
- Statistical Mechanics of Interacting Run-and-Tumble Bacteria
- Dissipation bounds all steady-state current fluctuations
- Stochastic thermodynamics under coarse-graining
- Universal bounds on current fluctuations
- Estimating dissipation from single stationary trajectories
- Nonequilibrium Thermodynamics of Chemical Reaction Networks: Wisdom from Stochastic Thermodynamics
- Stochastic thermodynamics of chemical reaction networks
- An allosteric model of KaiC phosphorylation
- Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems
- Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
- Lower bounds on dissipation upon coarse graining
- Entropy production of active particles and for particles in active baths
- Inferring broken detailed balance in the absence of observable currents
- Improved bounds on entropy production in living systems
- Mesoscopic Coulomb drag, broken detailed balance and fluctuation relations
- Effective thermodynamics for a marginal observer
- Multiple-scale stochastic processes: decimation, averaging and beyond
- Fluctuation relations and coarse-graining
- Entropy production and coarse-graining in Markov processes
- Hierarchical Bounds on Entropy Production Inferred from Partial Information
- Emergent memory and kinetic hysteresis in strongly driven networks
- Exact Coarse Graining Preserves Entropy Production out of Equilibrium
- Fluctuation theorems for capacitively coupled electronic currents
- The Thermodynamic Uncertainty Relation in Biochemical Oscillations
- Dynamical fluctuations for semi-Markov processes
- Phase transition in thermodynamically consistent biochemical oscillators
- Time-resolved statistics of snippets as general framework for model-free entropy estimators
- Tightest bound on hidden entropy production from partially observed dynamics
- Violation of Local Detailed Balance Despite a Clear Time-Scale Separation
- Fluctuations of Apparent Entropy Production in Networks with Hidden Slow Degrees of Freedom
- Operationally Accessible Uncertainty Relations for Thermodynamically Consistent Semi-Markov Processes
- Double quantum dot coupled to a quantum point contact: A stochastic thermodynamics approach
- Coarse graining of biochemical systems described by discrete stochastic dynamics
- Fluctuation relations for driven coupled classical two-level systems
- Period Robustness and Entrainability of the Kai System to Changing Nucleotide Concentrations
- Nonequilibrium fluctuations of chemical reaction networks at criticality: The Schlögl model as paradigmatic case
- Waiting time distributions in hybrid models of motor-bead assays: A concept and tool for inference
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- A pedestrian's approach to large deviations in semi-Markov processes with an application to entropy production
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