Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
arXiv:1403.4018 · doi:10.1103/PhysRevE.91.012130
Abstract
We establish a novel generalization of the fluctuation theorem for partially-masked nonequilibrium dynamics. We introduce a partial entropy production with a subset of all possible transitions, and show that the partial entropy production satisfies the integral fluctuation theorem.Our result reveals the fundamental properties of a broad class of autonomous nanomachines as well as non-autonomous ones. In particular, our result gives a unified fluctuation theorem for both autonomous and non-autonomous Maxwell's demons, where mutual information plays a crucial role. Furthermore, we derive a novel kind of fluctuation-dissipation theorem that relates nonequilibrium stationary current to two kinds of equilibrium fluctuations.
7 pages, 6 figures
References in corpus (4)
Cited by in corpus (44)
- Maxwell's demon in biochemical signal transduction with feedback loop
- Second-law-like inequalities with information and their interpretations
- Integral Fluctuation Theorems for Stochastic Resetting Systems
- Hierarchical Bounds on Entropy Production Inferred from Partial Information
- Stochastic thermodynamics of Langevin systems under time-delayed feedback control: I. Second-law-like inequalities
- Role of measurement-feedback separation in autonomous Maxwell's demons
- Time-resolved statistics of snippets as general framework for model-free entropy estimators
- Thermodynamics of accuracy in kinetic proofreading: Dissipation and efficiency trade-offs
- Optimal thermodynamic uncertainty relation in Markov jump processes
- Effective rates from thermodynamically consistent coarse-graining of models for molecular motors with probe particles
- Quantum Martingale Theory and Entropy Production
- Tightest bound on hidden entropy production from partially observed dynamics
- Energy and information flows in autonomous systems
- Geometric decomposition of entropy production into excess, housekeeping and coupling parts
- Hidden entropy production by fast variables
- Continuous information flow fluctuations
- Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds
- Quantum Fluctuation Theorem under Continuous Measurement and Feedback
- Fluctuation relations for driven coupled classical two-level systems
- Entropy production limits all fluctuation oscillations
- General theory for localizing the where and when of entropy production meets single-molecule experiments
- Universal bounds on the performance of information-thermodynamic engine
- Autonomous demon exploiting heat and information at the trajectory level
- Time-symmetric current and its fluctuation response relation around nonequilibrium stalling stationary state
- An estimator of entropy production for partially accessible Markov networks based on the observation of blurred transitions
- Variance sum rule: proofs and solvable models
- Entropy estimation for partially accessible Markov networks based on imperfect observations: Role of finite resolution and finite statistics
- Information Arbitrage in Bipartite Heat Engines
- Inferring kinetics and entropy production from observable transitions in partially accessible, periodically driven Markov networks
- Thermodynamic inference in partially accessible Markov networks: A unifying perspective from transition-based waiting time distributions
- Thermodynamic role of main reaction pathway and multi-body information flow in membrane transport
- Attaining entropy production and dissipation maps from Brownian movies via neural networks
- Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes
- Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform
- From observed transitions to hidden paths in Markov networks
- Fluctuation theorem for time-averaged work
- Interplay between Markovianity and Progressive Quenching
- Wasserstein distance in speed limit inequalities for Markov jump processes
- Coarse-grained quantum thermodynamics: Observation-dependent quantities, observation-independent laws
- Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining
- Fluctuation-response relation of time-symmetric quantities around general nonequilibrium stationary state
- Thermodynamics of fluctuations based on time-and-space averages
- Universal trade-off between irreversibility and intrinsic timescale in thermal relaxation with applications to thermodynamic inference
- Join gate with memory in token-conserving Brownian circuits and the thermodynamic cost