Quantifying dissipation using fluctuating currents
arXiv:1809.02118 · doi:10.1038/s41467-019-09631-x
Abstract
Systems coupled to multiple thermodynamic reservoirs can exhibit nonequilibrium dynamics, breaking detailed balance to generate currents. To power these currents, the entropy of the reservoirs increases. The rate of entropy production, or dissipation, is a measure of the statistical irreversibility of the nonequilibrium process. By measuring this irreversibility in several biological systems, recent experiments have detected that particular systems are not in equilibrium. Here we discuss three strategies to replace binary classification (equilibrium versus nonequilibrium) with a quantification of the entropy production rate. To illustrate, we generate time-series data for the evolution of an analytically tractable bead-spring model. Probability currents can be inferred and utilized to indirectly quantify the entropy production rate, but this approach requires prohibitive amounts of data in high-dimensional systems. This curse of dimensionality can be partially mitigated by using the thermodynamic uncertainty relation to bound the entropy production rate using statistical fluctuations in the probability currents.
References in corpus (38)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- The large deviation approach to statistical mechanics
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Fluctuation theorem for stochastic dynamics
- Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
- Thermodynamic uncertainty relation for biomolecular processes
- Dissipation bounds all steady-state current fluctuations
- How far from equilibrium is active matter?
- Equality connecting energy dissipation with violation of fluctuation-response relation
- Thermodynamic formalism for systems with Markov dynamics
- Broken detailed balance and non-equilibrium dynamics in living systems
- Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
- Universal bounds on current fluctuations
- Fluctuation-Dissipation Theorem in Nonequilibrium Steady States
- The Three Faces of the Second Law: II. Fokker-Planck Formulation
- Finite-time generalization of the thermodynamic uncertainty relation
- Universal features in the energetics of symmetry breaking
- Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
- Discrete-time thermodynamic uncertainty relation
- Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
- On the heat flux and entropy produced by thermal fluctuations
- Universal bound on the efficiency of molecular motors
- Inferring dissipation from current fluctuations
- Mesoscopic Nonequilibrium Thermodynamics of Single Macromolecules and Dynamic Entropy-Energy Compensation
- The length of time's arrow
- Stochastic thermodynamics: From principles to the cost of precision
- Non-equilibrium fluctuations and mechanochemical couplings of a molecular motor
- Broken Detailed Balance of Filament Dynamics in Active Networks
- Nonequilibrium dissipation in living oocytes
- Allocating dissipation across a molecular machine cycle to maximize flux
- Mapping of uncertainty relations between continuous and discrete time
- Non-equilibrium scaling behaviour in driven soft biological assemblies
- Noninvasive Measurement of Dissipation in Colloidal Systems
- Fluctuation Properties of Steady-State Langevin Systems
- Nonequilibrium dynamics of probe filaments in actin-myosin networks
- Hidden entropy production by fast variables
- Energy repartition for a harmonic chain with local reservoirs
Cited by in corpus (136)
- Odd dynamics of living chiral crystals
- Thermodynamic uncertainty relation for time-dependent driving
- Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
- Inferring entropy production from short experiments
- Quantum thermodynamic uncertainty relation for continuous measurement
- Inferring broken detailed balance in the absence of observable currents
- Irreversibility, heat and information flows induced by non-reciprocal interactions
- Estimating entropy production by machine learning of short-time fluctuating currents
- Time-(ir)reversibility in active matter: from micro to macro
- Unifying Thermodynamic Uncertainty Relations
- Entropy production estimation with optimal current
- Improved bounds on entropy production in living systems
- The dissipation-time uncertainty relation
- Estimating entropy production from waiting time distributions
- Unified Approach to Classical Speed Limit and Thermodynamic Uncertainty Relation
- Thermodynamic uncertainty relation for general open quantum systems
- Thermodynamic uncertainty relations including measurement and feedback
- Thermodynamics of Precision in Markovian Open Quantum Dynamics
- Uncertainty relations for underdamped Langevin dynamics
- Play. Pause. Rewind. Measuring local entropy production and extractable work in active matter
- Unified thermodynamic-kinetic uncertainty relation
- Improving thermodynamic bounds using correlations
- Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
- Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence
- Learning entropy production via neural networks
- Direct Route to Thermodynamic Uncertainty Relations and Their Saturation
- Thermodynamic uncertainty relation for systems with unidirectional transitions
- How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions
- Estimating time-dependent entropy production from non-equilibrium trajectories
- Thermodynamic uncertainty relations under arbitrary control protocols
- Entropy production in systems with unidirectional transitions
- Hyperaccurate currents in stochastic thermodynamics
- Irreversibility in dynamical phases and transitions
- Optimal thermodynamic uncertainty relation in Markov jump processes
- Distribution of the time of the maximum for stationary processes
- Thermodynamic Uncertainty Relations for Bosonic Otto Engines
- Fluctuations in heat engines
- Active matter: quantifying the departure from equilibrium
- Milestoning estimators of dissipation in systems observed at a coarse resolution: When ignorance is truly bliss
- Coarse-grained entropy production with multiple reservoirs: unraveling the role of time-scales and detailed balance in biology-inspired systems
- The entropy production of an active particle in a box
- Tightest bound on hidden entropy production from partially observed dynamics
- Quantitative analysis of non-equilibrium systems from short-time experimental data
- Inference in non-equilibrium systems from incomplete information: the case of linear systems and its pitfalls
- Energy and information flows in autonomous systems
- Exact Distributions of Currents and Frenesy for Markov Bridges
- Learning the Non-Equilibrium Dynamics of Brownian Movies
- Entropy production for coarse-grained dynamics
- Universal form of thermodynamic uncertainty relation for Langevin dynamics
- Time to reach the maximum for a stationary stochastic process
- Deep learning probability flows and entropy production rates in active matter
- Dynamical large deviations of linear diffusions
- Approach to equilibrium and non-equilibrium stationary distributions of interacting many-particle systems that are coupled to different heat baths
- Emergence of local irreversibility in complex interacting systems
- Mathematical, Thermodynamical, and Experimental Necessity for Coarse Graining Empirical Densities and Currents in Continuous Space
- Thermodynamic uncertainty relation to assess biological processes
- Fundamental bounds on precision and response for quantum trajectory observables
- Role of current fluctuations in nonreversible samplers
- Coarse Graining Empirical Densities and Currents in Continuous-Space Steady States
- Irreversibility, Loschmidt echo, and thermodynamic uncertainty relation
- Obtaining efficient thermal engines from interacting Brownian particles under time dependent periodic drivings
- Fluctuations of entropy production of a run-and-tumble particle
- Thermodynamic uncertainty relation for quantum first passage process
- Spectral fingerprints of non-equilibrium dynamics: The case of a Brownian gyrator
- Dissecting flux balances to measure energetic costs in cell biology: techniques and challenges
- Entropy production in Master Equations and Fokker-Planck Equations: facing the coarse-graining and recovering the information loss
- Improved bound on entropy production in a quantum annealer
- Thermodynamic Uncertainty Relation in Interacting Many-Body Systems
- Thermodynamic bounds on time-reversal asymmetry
- General theory for localizing the where and when of entropy production meets single-molecule experiments
- Multilevel quantum thermodynamic swap engines
- Dissipation, quantum coherence, and asymmetry of finite-time cross-correlations
- Enhanced directionality of active processes in a viscoelastic bath
- Universal bounds on the performance of information-thermodynamic engine
- A thermodynamic uncertainty relation for a system with memory
- Optimal time estimation and the clock uncertainty relation for stochastic processes
- Revealing the Nonequilibrium Nature of a Granular Intruder: The Crucial Role of Non-Gaussian Behavior
- Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump
- Thermodynamic correlation inequality
- Inferring entropy production in anharmonic Brownian gyrators
- Hyperaccurate bounds in discrete-state Markovian systems
- Thermodynamic Uncertainty Relations for Steady-State Thermodynamics
- Higher-order Efficiency Bound and Its Application to Nonlinear Nano-thermoelectrics
- Cycle counts and affinities in stochastic models of non-equilibrium systems
- Conceptual and practical approaches for investigating irreversible processes
- Large deviations of the stochastic area for linear diffusions
- Instantaneous equilibrium Transport for Brownian systems under time-dependent temperature and potential variations: Reversibility, Heat and work relations, and Fast Isentropic process
- Scaling behavior of non-equilibrium measures in internally driven elastic assemblies
- Variance sum rule: proofs and solvable models
- Estimating entropy production in a stochastic system with odd-parity variables
- Fractional Brownian Gyrator
- Generalized equipartition for nonlinear multiplicative Langevin dynamics: application to laser-cooled atoms
- Mesoscopic non-equilibrium measures can reveal intrinsic features of the active driving
- Quality of the Thermodynamic Uncertainty Relation for Fast and Slow Driving
- Estimate of entropy generation rate can spatiotemporally resolve the active nature of cell flickering
- Information Thermodynamics of the Transition-Path Ensemble
- From predicting to learning dissipation from pair correlations of active liquids
- Irreversibility and entropy production of a thermally driven micromachine
- Two applications of stochastic thermodynamics to hydrodynamics
- The origin of loose bound of the thermodynamic uncertainty relation in a dissipative two-level quantum system
- Thermodynamic inference in partially accessible Markov networks: A unifying perspective from transition-based waiting time distributions
- Inferring entropy production from time-dependent moments
- Adaptive power method for estimating large deviations in Markov chains
- Stochastic line integrals and stream functions as metrics of irreversibility and heat transfer
- Cooperative dynamics in two-component out-of-equilibrium systems: Molecular "spinning tops"
- Second harmonic generation as a minimal model of turbulence
- Inferring the Langevin Equation with Uncertainty via Bayesian Neural Networks
- Improved estimation for energy dissipation in biochemical oscillations
- Entropy bound for time reversal markers
- Nonequilibrium Probability Currents in Optically-Driven Colloidal Suspensions
- Inferring entropy production in many-body systems using nonequilibrium maximum entropy
- Continuous time-reversal and equality in the thermodynamic uncertainty relation
- Attaining entropy production and dissipation maps from Brownian movies via neural networks
- Speed-accuracy relations for diffusion models: Wisdom from nonequilibrium thermodynamics and optimal transport
- Frequency-frequency correlations of single-trajectory spectral densities of Gaussian processes
- Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform
- A Cold Tracer in a Hot Bath: In and Out of Equilibrium
- Quasiprobability Thermodynamic Uncertainty Relation
- From reductionism to realism: Holistic mathematical modelling for complex biological systems
- Inverse thermodynamic uncertainty relation and entropy production
- Irregular gyration of a two-dimensional random-acceleration process in a confining potential
- Force-free kinetic inference of entropy production
- Statistical mechanics of a cold tracer in a hot bath
- Bounds on the rates of statistical divergences and mutual information via stochastic thermodynamics
- Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems
- Irreversibility of mesoscopic processes with hydrodynamic interactions
- Unravelling the Flow of Information in a Nonequilibrium Process in the Presence of Hydrodynamic Interactions
- Coarse-graining nonequilibrium diffusions with Markov chains
- Experimentally accessible measurement of irreversibility in stochastic systems by categorizing single-molecule displacements
- Refined Thermodynamic Uncertainty Relation for Chemical Reactions
- Entropic signature of resonant thermal transport: Ordered form of heat conduction
- Time-cost-error trade-off relation in thermodynamics: The third law and beyond
- Thermodynamic uncertainty relation in the overdamped limit with a magnetic Lorentz force
- Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining
- Symmetry and Thermodynamic Bounds on Cross-Coupling Transport in Chiral Liquid Crystals
- Universal Precision Limits in General Open Quantum Systems