Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform
arXiv:2112.11008 · doi:10.1103/PhysRevResearch.6.013315
Abstract
Nonstationary thermodynamic quantities depend on the full details of nonstationary probability distributions, making them difficult to measure directly in experiments and numerics. We propose a method to infer thermodynamic quantities in relaxation processes by measuring only a few observables, using additional information obtained from measurements in tilted equilibrium, i.e., equilibrium with external fields applied. Our method is applicable to arbitrary classical stochastic systems, possibly underdamped, that relax to equilibrium. The method allows us to compute the exact value of the minimum entropy production (EP) compatible with the nonstationary observations, giving a tight lower bound on the true EP. Under a certain additional condition, it also allows the inference of the EP rate, thermodynamic forces, and a constraint on relaxation paths. Our method uses a Legendre transform of EP at the level of probability distributions, which we develop based on a similar Legendre transform in information geometry.
arXiv comment16 pages, 4 figures. This is the published version, with only minor updates from v4. This article has been fully revised with a new title in v3. The previous version is available in v2
References in corpus (47)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Theoretical perspective on the glass transition and amorphous materials
- Steady State Thermodynamics of Langevin Systems
- Measuring thermodynamic length
- Stochastic thermodynamics under coarse-graining
- Second law and Landauer principle far from equilibrium
- Ensemble and Trajectory Thermodynamics: A Brief Introduction
- Equality connecting energy dissipation with violation of fluctuation-response relation
- The Three Faces of the Second Law: I. Master Equation Formulation
- Estimating dissipation from single stationary trajectories
- Anomalous cooling and heating - the Mpemba effect and its inverse
- The Three Faces of the Second Law: II. Fokker-Planck Formulation
- Quantifying dissipation using fluctuating currents
- Exponentially faster cooling in a colloidal system
- Current fluctuations and transport efficiency for general Langevin systems
- Thermodynamic uncertainty relation for time-dependent driving
- Inferring entropy production from short experiments
- Inferring dissipation from current fluctuations
- Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems
- Dissipation and lag in irreversible processes
- Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
- Inferring broken detailed balance in the absence of observable currents
- Estimating entropy production by machine learning of short-time fluctuating currents
- Stochastic thermodynamic interpretation of information geometry
- Entropy production estimation with optimal current
- Improved bounds on entropy production in living systems
- Non-Markovianity and negative entropy production rates
- Stochastic time-evolution, information geometry and the Cramer-Rao Bound
- Estimating entropy production from waiting time distributions
- Thermodynamic Uncertainty Relation for Arbitrary Initial States
- Energy dissipation and violation of the fluctuation-response relation in non-equilibrium Langevin systems
- Effective thermodynamics for a marginal observer
- Fluctuation relations and coarse-graining
- Hierarchical Bounds on Entropy Production Inferred from Partial Information
- Entropy: The Markov Ordering Approach
- Learning force fields from stochastic trajectories
- Improving thermodynamic bounds using correlations
- Learning entropy production via neural networks
- Estimating time-dependent entropy production from non-equilibrium trajectories
- Noninvasive Measurement of Dissipation in Colloidal Systems
- Nonconvexity of the relative entropy for Markov dynamics: A Fisher information approach
- Quantitative analysis of non-equilibrium systems from short-time experimental data
- Learning the Non-Equilibrium Dynamics of Brownian Movies
- A Cutoff Phenomenon for Quantum Markov Chains
- Non-invasive estimation of dissipation from non-equilibrium fluctuations in chemical reactions
- Estimating entropy production in a stochastic system with odd-parity variables
- Measurement of irreversibility and entropy production via the tubular ensemble