Inferring dissipation from current fluctuations
arXiv:1609.07131 · doi:10.1088/1751-8121/aa672f
Abstract
Complex physical dynamics can often be modeled as a Markov jump process between mesoscopic configurations. When jumps between mesoscopic states are mediated by thermodynamic reservoirs, the time-irreversibility of the jump process is a measure of the physical dissipation. We rederive a recently introduced inequality relating the dissipation rate to current fluctuations in jump processes. We then adapt these results to diffusion processes via a limiting procedure, reaffirming that diffusions saturate the inequality. Finally, we study the impact of spatial coarse-graining in a two-dimensional model with driven diffusion. By observing fluctuations in coarse-grained currents, it is possible to infer a lower bound on the total dissipation rate, including the dissipation associated with hidden dynamics. The tightness of this bound depends on how well the spatial coarse-graining detects dynamical events that are driven by large thermodynamic forces.
14 pages, 10 figures
References in corpus (11)
- The large deviation approach to statistical mechanics
- Thermodynamic uncertainty relation for biomolecular processes
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Fluctuations and response of nonequilibrium states
- Tightening the uncertainty principle for stochastic currents
- Activity driven fluctuations in living cells
- Universal Bound on the Fano Factor in Enzyme Kinetics
- Affinity- and topology-dependent bound on current fluctuations
- Minimum entropy production principle from a dynamical fluctuation law
- Entropy production of nano systems with timescale separation
- Non-dissipative effects in nonequilibrium systems
Cited by in corpus (113)
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
- Finite-time generalization of the thermodynamic uncertainty relation
- Quantifying dissipation using fluctuating currents
- Discrete-time thermodynamic uncertainty relation
- Thermodynamic uncertainty relation for time-dependent driving
- Inferring entropy production from short experiments
- Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
- Unified thermodynamic uncertainty relations in linear response
- Fundamental Bounds on First Passage Time Fluctuations for Currents
- Estimating entropy production by machine learning of short-time fluctuating currents
- Kinetic uncertainty relation
- Unifying Thermodynamic Uncertainty Relations
- Improved bounds on entropy production in living systems
- Stochastic thermodynamics: From principles to the cost of precision
- Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
- Thermodynamic uncertainty relation in quantum thermoelectric junctions
- A generalization of the thermodynamic uncertainty relation to periodically driven systems
- Frenetic bounds on the entropy production
- Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
- Phase transition in protocols minimizing work fluctuations
- Thermodynamic Bound on the Asymmetry of Cross-Correlations
- Effect of a magnetic field on the thermodynamic uncertainty relation
- 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
- Experimental study of the thermodynamic uncertainty relation
- Large Deviation Function for a Driven Underdamped Particle in a Periodic Potential
- Quantum energy exchange and refrigeration: A full-counting statistics approach
- Information-theoretical bound of the irreversibility in thermal relaxation processes
- Thermodynamic uncertainty relations for coherently driven open quantum systems
- Large deviations at level 2.5 for Markovian open quantum systems: quantum jumps and quantum state diffusion
- Current fluctuations in quantum absorption refrigerators
- Irreversibility in dynamical phases and transitions
- Optimal thermodynamic uncertainty relation in Markov jump processes
- Thermodynamic uncertainty relation in atomic-scale quantum conductors
- Thermodynamic uncertainty relation for underdamped Langevin systems driven by a velocity-dependent force
- Macroscopic Stochastic Thermodynamics
- Milestoning estimators of dissipation in systems observed at a coarse resolution: When ignorance is truly bliss
- Canonical structure and orthogonality of forces and currents in irreversible Markov chains
- Tightest bound on hidden entropy production from partially observed dynamics
- A unifying picture of generalized thermodynamic uncertainty relations
- Entropy production for coarse-grained dynamics
- Principles of Low Dissipation Computing from a Stochastic Circuit Model
- Universal form of thermodynamic uncertainty relation for Langevin dynamics
- Estimating Entropy Production Rates with First-Passage Processes
- A unified, geometric framework for nonequilibrium protocol optimization
- Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states
- Dynamical large deviations of linear diffusions
- Free diffusion bounds the precision of currents in underdamped dynamics
- Process interpretation of current entropic bounds
- Mathematical, Thermodynamical, and Experimental Necessity for Coarse Graining Empirical Densities and Currents in Continuous Space
- Thermodynamic uncertainty relation to assess biological processes
- Thermodynamic uncertainty relation for energy transport in transient regime -- Model study
- Fundamental relation between entropy production and heat current
- Number of hidden states needed to physically implement a given conditional distribution
- Level 2.5 large deviations for continuous time Markov chains with time periodic rates
- Role of current fluctuations in nonreversible samplers
- Coarse Graining Empirical Densities and Currents in Continuous-Space Steady States
- Field-Theoretic Thermodynamic Uncertainty Relation -- General formulation exemplified with the Kardar-Parisi-Zhang equation
- Entropy production limits all fluctuation oscillations
- Absence and recovery of cost-precision tradeoff relations in quantum transport
- Entropy production in Master Equations and Fokker-Planck Equations: facing the coarse-graining and recovering the information loss
- Thermodynamic Uncertainty Relation in Interacting Many-Body Systems
- Dissecting flux balances to measure energetic costs in cell biology: techniques and challenges
- A thermodynamic uncertainty relation for a system with memory
- Universal Property of the Housekeeping Entropy Production
- Extreme value statistics of edge currents in Markov jump processes and their use for entropy production estimation
- Using tensor network states for multi-particle Brownian ratchets
- Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump
- Effective estimation of entropy production with lacking data
- Time-symmetric current and its fluctuation response relation around nonequilibrium stalling stationary state
- Thermodynamic bounds on generalized transport: From single-molecule to bulk observables
- Higher-order Efficiency Bound and Its Application to Nonlinear Nano-thermoelectrics
- Precision bound and optimal control in periodically modulated continuous quantum thermal machines
- Thermodynamic Uncertainty Relations for Steady-State Thermodynamics
- Computing time-periodic steady-state currents via the time evolution of tensor network states
- Thermodynamic Geometry of Nonequilibrium Fluctuations in Cyclically Driven Transport
- Conceptual and practical approaches for investigating irreversible processes
- Thermodynamic uncertainty relation for Langevin dynamics by scaling time
- Isometric Uncertainty Relations
- Current inversion in a periodically driven two-dimensional Brownian ratchet
- An ordered set of power-efficiency trade-offs
- Quality of the Thermodynamic Uncertainty Relation for Fast and Slow Driving
- R. Fürth's 1933 paper "On certain relations between classical Statistics and Quantum Mechanics" ["Über einige Beziehungen zwischen klassischer Statistik und Quantenmechanik", \textit{Zeitschrift für Physik,} \textbf{81} 143-162]
- Limits on the Precision of Catenane Molecular Motors: Insights from Thermodynamics and Molecular Dynamics Simulations
- Estimate of entropy generation rate can spatiotemporally resolve the active nature of cell flickering
- Stochastic thermodynamic bounds on logical circuit operation
- Numerical Study of the Thermodynamic Uncertainty Relation for the KPZ-Equation
- Quantum Thermodynamic Uncertainty Relations, Generalized Current Fluctuations and Nonequilibrium Fluctuation-Dissipation Inequalities
- Inferring entropy production from time-dependent moments
- The Wave-Particle Duality in a Quantum Heat Engine
- Adaptive power method for estimating large deviations in Markov chains
- Decomposing Thermodynamic Dissipation of Linear Langevin Systems via Oscillatory Modes and Its Application to Neural Dynamics
- Dispersion of the time spent in a state: General expression for unicyclic model and dissipation-less precision
- Tight uncertainty relations for cycle currents
- On correlations and fluctuations of time-averaged densities and currents with general time-dependence
- Improved estimation for energy dissipation in biochemical oscillations
- Speed-accuracy relations for diffusion models: Wisdom from nonequilibrium thermodynamics and optimal transport
- Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform
- Inverse thermodynamic uncertainty relation and entropy production
- Wasserstein distance in speed limit inequalities for Markov jump processes
- Network analysis for the steady-state thermodynamic uncertainty relation
- Force-free kinetic inference of entropy production
- The Two Scaling Regimes of the Thermodynamic Uncertainty Relation for the KPZ-Equation
- Renormalized mechanics and stochastic thermodynamics of growing vesicles
- Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum
- Thermodynamic uncertainty relation for underdamped dynamics driven by time-dependent protocols
- Evading Thermodynamic Uncertainty Relations via Asymmetric Dynamic Protocols
- Thermodynamic uncertainty relation in the overdamped limit with a magnetic Lorentz force
- Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining
- Fluctuation-response relation of time-symmetric quantities around general nonequilibrium stationary state