Generic Properties of Stochastic Entropy Production

Abstract

We derive an Ito stochastic differential equation for entropy production in nonequilibrium Langevin processes. Introducing a random-time transformation, entropy production obeys a one-dimensional drift-diffusion equation, independent of the underlying physical model. This transformation allows us to identify generic properties of entropy production. It also leads to an exact uncertainty equality relating the Fano factor of entropy production and the Fano factor of the random time, which we also generalize to non steady-state conditions.

5 pages, 5 figures (contains Supplemental Material, 7 pages)

References in corpus (12)

• Thermodynamic uncertainty relation for biomolecular processes
• Dissipation: The phase-space perspective
• State-dependent diffusion: thermodynamic consistency and its path integral formulation
• Phototaxis of synthetic microswimmers in optical landscapes
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Finite-time generalization of the thermodynamic uncertainty relation
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Steady state statistics of driven diffusions
• Multiple-scale stochastic processes: decimation, averaging and beyond
• Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
• Large deviation function for entropy production in driven one-dimensional systems
• Fluctuations and response in a non-equilibrium micron-sized system

Cited by in corpus (119)

• Broken detailed balance and non-equilibrium dynamics in living systems
• Fluctuation theorem uncertainty relation
• Finite-time generalization of the thermodynamic uncertainty relation
• Current fluctuations and transport efficiency for general Langevin systems
• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
• Unified thermodynamic uncertainty relations in linear response
• Hidden entropy production and work fluctuations in an ideal active gas
• Quantum thermodynamic uncertainty relation for continuous measurement
• Uncertainty relations in stochastic processes: An information inequality approach
• Fundamental Bounds on First Passage Time Fluctuations for Currents
• Estimating entropy production by machine learning of short-time fluctuating currents
• Unifying Thermodynamic Uncertainty Relations
• Entropy production estimation with optimal current
• Energetic costs, precision, and efficiency of a biological motor in cargo transport
• Thermodynamic uncertainty relation for general open quantum systems
• Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
• Thermodynamic Uncertainty Relation for Arbitrary Initial States
• The Entropy Production of Ornstein-Uhlenbeck Active Particles: a path integral method for correlations
• Thermodynamic uncertainty relation in quantum thermoelectric junctions
• Bounds on current fluctuations in periodically driven systems
• Entropic bounds on currents in Langevin systems
• Theoretical Perspectives on Biological Machines
• Origins and diagnostics of the nonequilibrium character of active systems
• Uncertainty relations for underdamped Langevin dynamics
• Improving thermodynamic bounds using correlations
• Phase transition in protocols minimizing work fluctuations
• Emergent memory and kinetic hysteresis in strongly driven networks
• Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy production
• Effect of a magnetic field on the thermodynamic uncertainty relation
• Direct Route to Thermodynamic Uncertainty Relations and Their Saturation
• Integral Fluctuation Relations for Entropy Production at Stopping Times
• Speed Limits for Macroscopic Transitions
• Thermodynamic uncertainty relations under arbitrary control protocols
• Large Deviation Function for a Driven Underdamped Particle in a Periodic Potential
• Experimental study of the thermodynamic uncertainty relation
• Thermodynamics in Single-Electron Circuits and Superconducting Qubits
• Entropy production in exactly solvable systems
• Time-resolved statistics of snippets as general framework for model-free entropy estimators
• Hyperaccurate currents in stochastic thermodynamics
• Optimal thermodynamic uncertainty relation in Markov jump processes
• Thermodynamic uncertainty relation in atomic-scale quantum conductors
• Mapping of uncertainty relations between continuous and discrete time
• Universal minimal cost of coherent biochemical oscillations
• Diverging, but negligible power at Carnot efficiency: theory and experiment
• Coarse-grained entropy production with multiple reservoirs: unraveling the role of time-scales and detailed balance in biology-inspired systems
• Non-equilibrium fluctuations and nonlinear response of an active bath
• Entropons as collective excitations in active solids
• Quantum Martingale Theory and Entropy Production
• A unifying picture of generalized thermodynamic uncertainty relations
• Geometric decomposition of entropy production into excess, housekeeping and coupling parts
• Entropy production for coarse-grained dynamics
• Martingales for physicists: A treatise on stochastic thermodynamics and beyond
• Martingale theory for housekeeping heat
• Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states
• Estimating Entropy Production Rates with First-Passage Processes
• Extreme reductions of entropy in an electronic double dot
• Deep learning probability flows and entropy production rates in active matter
• Free diffusion bounds the precision of currents in underdamped dynamics
• Process interpretation of current entropic bounds
• Thermodynamic uncertainty relation of interacting oscillators in synchrony
• Arcsine Laws in Stochastic Thermodynamics
• Liquid-gas transitions in steady heat conduction
• Thermodynamic cost, speed, fluctuations, and error reduction of biological copy machines
• 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
• Exact results for the finite time thermodynamic uncertainty relation
• Coarse Graining Empirical Densities and Currents in Continuous-Space Steady States
• Irreversibility, Loschmidt echo, and thermodynamic uncertainty relation
• Methods and Conversations in (Post)Modern Thermodynamics
• Absence and recovery of cost-precision tradeoff relations in quantum transport
• Tuning transduction from hidden observables to optimize information harvesting
• Skewness and Kurtosis in Stochastic Thermodynamics
• Entropy production in Master Equations and Fokker-Planck Equations: facing the coarse-graining and recovering the information loss
• Thermodynamic uncertainty relation for quantum first passage process
• Universal bounds on the performance of information-thermodynamic engine
• Universal Property of the Housekeeping Entropy Production
• Thermodynamic uncertainty for run-and-tumble type processes
• Effective Entropy Production and Thermodynamic Uncertainty Relation of Active Brownian Particles
• The kinetic exclusion process: a tale of two fields
• Martingale structure for general thermodynamic functionals of diffusion processes under second-order averaging
• Time-symmetric current and its fluctuation response relation around nonequilibrium stalling stationary state
• Thermodynamic bounds on generalized transport: From single-molecule to bulk observables
• Hyperaccurate bounds in discrete-state Markovian systems
• Universal Excursion and Bridge shapes in ABBM/CIR/Bessel processes
• Energetics of critical oscillators in active bacterial baths
• Second Law of Thermodynamics without Einstein Relation
• Beat of a current
• Thermodynamic uncertainty relation for Langevin dynamics by scaling time
• Entropy production in systems with random transition rates
• Detailed fluctuation theorem bounds apparent violations of the second law
• Lower bound for entropy production rate in stochastic systems far from equilibrium
• Variance sum rule: proofs and solvable models
• Finite-time thermodynamic uncertainty relation do not hold for discrete-time Markov process
• Information bound for entropy production from the detailed fluctuation theorem
• Experimental verification of Arcsine laws in mesoscopic non-equilibrium and active systems
• Moment generating function bound from detailed fluctuation theorem
• Inhomogeneous entropy production in active crystals with point imperfections
• Designing circle Swimmers: Principles and strategies
• Enhanced Transport of Two Spheres in Viscous Fluid
• The origin of loose bound of the thermodynamic uncertainty relation in a dissipative two-level quantum system
• Coherence-variance uncertainty relation and coherence cost for quantum measurement under conservation laws
• Thermodynamic uncertainty relations in a linear system
• On correlations and fluctuations of time-averaged densities and currents with general time-dependence
• Continuous time-reversal and equality in the thermodynamic uncertainty relation
• Feynman-Kac theory of time-integrated functionals: Itô versus functional calculus
• Testing Optimality of Sequential Decision-Making
• Effective Affinity for Generic Currents in Markov Processes
• Testing the problem of time with cold atoms
• Compensating random transition-detection blackouts in Markov networks
• Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems
• Extreme-Value Statistics of Stochastic Transport Processes: Applications to Molecular Motors and Sports
• Thermodynamic inference in molecular motors: a Martingale approach
• Nonequilibrium Stationary Process and Fluctuation-Dissipation Relations
• Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems
• Stochastic entropy production in diffusive systems
• Thermodynamic uncertainty relation in the overdamped limit with a magnetic Lorentz force
• Consistent expansion of the Langevin propagator with application to entropy production
• Universal trade-off between irreversibility and intrinsic timescale in thermal relaxation with applications to thermodynamic inference