Tightest bound on hidden entropy production from partially observed dynamics

Abstract

Stochastic thermodynamics allows us to define heat and work for microscopic systems far from thermodynamic equilibrium, based on observations of their stochastic dynamics. However, a complete account of the energetics necessitates that all relevant nonequilibrium degrees of freedom are resolved, which is not feasible in many experimental situations. A simple approach is to map the visible dynamics onto a Markov model, which produces a lower-bound estimate of the entropy production. The bound, however, can be quite loose, especially when the visible dynamics only have small or vanishing observable currents. An alternative approach is presented that uses all observable data to find an underlying hidden Markov model responsible for generating the observed non-Markovian dynamics. For masked Markovian kinetic networks, one obtains the tightest possible lower bound on entropy production of the full dynamics that is compatible with the observable data. The formalism is illustrated with a simple example system.

22 pages, 10 figures

References in corpus (12)

• Thermodynamic uncertainty relation for biomolecular processes
• Dissipation: The phase-space perspective
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Discrete-time thermodynamic uncertainty relation
• Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
• Lower bounds on dissipation upon coarse graining
• Entropy production and coarse-graining in Markov processes
• Fluctuation relations and coarse-graining
• Hierarchical Bounds on Entropy Production Inferred from Partial Information
• An illustrative example of the relationship between dissipation and relative entropy
• Effective rates from thermodynamically consistent coarse-graining of models for molecular motors with probe particles
• Tightest bound on hidden entropy production from partially observed dynamics

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