Uncertainty relations and fluctuation theorems for Bayes nets
arXiv:1911.02700 · doi:10.1103/PhysRevLett.125.200602
Abstract
Recent research has considered the stochastic thermodynamics of multiple interacting systems, representing the overall system as a Bayes net. I derive fluctuation theorems governing the entropy production (EP)of arbitrary sets of the systems in such a Bayes net. I also derive ``conditional'' fluctuation theorems, governing the distribution of EP in one set of systems conditioned on the EP of a different set of systems. I then derive thermodynamic uncertainty relations relating the EP of the overall system to the precisions of probability currents within the individual systems.
5 pages main text, 10 pages appendices, 2 figures - more typos fixed from published version
References in corpus (31)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Thermodynamic uncertainty relation for biomolecular processes
- Generalized Jarzynski Equality under Nonequilibrium Feedback Control
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- Three detailed fluctuation theorems
- Ensemble and Trajectory Thermodynamics: A Brief Introduction
- The Three Faces of the Second Law: I. Master Equation Formulation
- Work and information processing in a solvable model of Maxwell's demon
- Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
- Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
- Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics
- Thermodynamics with continuous information flow
- Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
- Fluctuation theorem uncertainty relation
- Discrete-time thermodynamic uncertainty relation
- Information Thermodynamics on Causal Networks
- Stochastic thermodynamics of computation
- Thermodynamic Reversibility in Feedback Processes
- Entropy fluctuation theorems in driven open systems: application to electron counting statistics
- Unifying Thermodynamic Uncertainty Relations
- Thermodynamic and Logical Reversibilities Revisited
- Thermodynamic Uncertainty Relation for Arbitrary Initial States
- Designing optimal discrete-feedback thermodynamic engines
- Generalising Landauer's Principle
- Stochastic thermodynamics with information reservoirs
- Above and Beyond the Landauer Bound: Thermodynamics of Modularity
- Thermodynamics of computing with circuits
- Mapping of uncertainty relations between continuous and discrete time
- Number of hidden states needed to physically implement a given conditional distribution
- A space-time tradeoff for implementing a function with master equation dynamics
- Extending Landauer's Bound from Bit Erasure to Arbitrary Computation
Cited by in corpus (15)
- Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
- Unified thermodynamic-kinetic uncertainty relation
- Thermodynamic uncertainty relation and thermodynamic speed limit in deterministic chemical reaction networks
- Housekeeping and excess entropy production for general nonlinear dynamics
- Bayesian Mechanics for Stationary Processes
- Thermodynamic Uncertainty Relation in Interacting Many-Body Systems
- Stochastic thermodynamics and fluctuation theorems for non-linear systems
- Entropy production given constraints on the energy functions
- Thermodynamic role of main reaction pathway and multi-body information flow in membrane transport
- Minimal thermodynamic cost of communication
- Inverse thermodynamic uncertainty relation and entropy production
- Network analysis for the steady-state thermodynamic uncertainty relation
- Work, entropy production, and thermodynamics of information under protocol constraints
- Fluctuation theorems for multiple co-evolving systems
- Thermodynamics of fluctuations based on time-and-space averages