Fluctuation Theorem for Hidden Entropy Production

Abstract

In the general process of eliminating dynamic variables in Markovian models, there exists a difference in the irreversible entropy production between the original and reduced dynamics. We call this difference the hidden entropy production, since it is an invisible quantity when only the reduced system's view is provided. We show that this hidden entropy production obeys a new integral fluctuation theorem for the generic case where all variables are time-reversal invariant, therefore supporting the intuition that entropy production should decrease by coarse graining. It is found, however, that in cases where the condition for our theorem does not hold, entropy production may also increase due to the reduction. The extended multibaker map is investigated as an example for this case.

5 pages, 1 figure

References in corpus (2)

• Dissipation: The phase-space perspective
• Integral fluctuation theorem for the housekeeping heat

Cited by in corpus (50)

• Hidden entropy production and work fluctuations in an ideal active gas
• Distribution of Entropy Production in a Single-Electron Box
• Quantum fluctuation theorems beyond two-point measurements
• Multiple-scale stochastic processes: decimation, averaging and beyond
• Hierarchical Bounds on Entropy Production Inferred from Partial Information
• Entropy production and fluctuation theorems for Langevin processes under continuous non-Markovian feedback control
• Exact Coarse Graining Preserves Entropy Production out of Equilibrium
• Estimating time-dependent entropy production from non-equilibrium trajectories
• Thermodynamics of emergent structure in active matter
• Entropy production of nano systems with timescale separation
• Coarse-grained entropy production with multiple reservoirs: unraveling the role of time-scales and detailed balance in biology-inspired systems
• Effective rates from thermodynamically consistent coarse-graining of models for molecular motors with probe particles
• Time reversibility and nonequilibrium thermodynamics of second-order stochastic processes
• Hidden entropy production by fast variables
• Stochastic thermodynamics of fluctuating density fields: Non-equilibrium free energy differences under coarse-graining
• Model simplification and loss of irreversibility
• Functionals in stochastic thermodynamics: how to interpret stochastic integrals
• Non-invasive estimation of dissipation from non-equilibrium fluctuations in chemical reactions
• Fokker-Planck equations for time-delayed systems via Markovian Embedding
• Role of sufficient statistics in stochastic thermodynamics and its implication to sensory adaptation
• Entropy production of a Brownian ellipsoid in the overdamped limit
• Universal bounds on the performance of information-thermodynamic engine
• Quantifying the validity and breakdown of the overdamped approximation in stochastic thermodynamics: Theory and experiment
• Nonequilibrium Statistical Mechanics for Adiabatic Piston Problem
• Entropy production of active particles in underdamped regime
• Effective Entropy Production and Thermodynamic Uncertainty Relation of Active Brownian Particles
• Martingale structure for general thermodynamic functionals of diffusion processes under second-order averaging
• The derivation of Markov processes that violate detailed balance
• Fluctuations of Entropy Production in Partially Masked Electric Circuits: Theoretical Analysis
• Conceptual and practical approaches for investigating irreversible processes
• On entropy production in nonequilibrium systems
• Estimating entropy production in a stochastic system with odd-parity variables
• Entropy estimation for partially accessible Markov networks based on imperfect observations: Role of finite resolution and finite statistics
• Drift induced by dissipation
• Invariance of Steady State Thermodynamics between Different Scales of Description
• Dissipation at limited resolutions: Power law and detection of hidden dissipative scales
• Unattainability of Carnot efficiency in thermal motors: Coarse-graining and entropy production of Feynman-Smoluchowski ratchet
• The Entropy Anomaly and the Linear Irreversible Thermodynamics
• Entropy production for partially observed harmonic systems
• Coupled-Double-Quantum-Dot Environmental Information Engines: A Numerical Analysis
• Retainability of canonical distributions for a Brownian particle controlled by a time-dependent harmonic potential
• Macroscopic fluxes and local reciprocal relation in second-order stochastic processes far from equilibrium
• Violation of the second fluctuation-dissipation relation and entropy production in nonequilibrium medium
• Foundations of Stochastic Thermodynamics
• Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes
• Wasserstein distance in speed limit inequalities for Markov jump processes
• Extracting energy from non-equilibrium fluctuations without using information
• Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining
• Excess and loss of entropy production for different levels of coarse-graining
• Information-thermodynamic characterization of stochastic Boolean networks