Entropy production along a stochastic trajectory and an integral fluctuation theorem

Abstract

For stochastic non-equilibrium dynamics like a Langevin equation for a colloidal particle or a master equation for discrete states, entropy production along a single trajectory is studied. It involves both genuine particle entropy and entropy production in the surrounding medium. The integrated sum of both $Δs\t$is shown to obey a fluctuation theorem $<\exp[-Δs\t]> =1$ for arbitrary initial conditions and arbitrary time-dependent driving over a finite time interval.

4 pages, RevTex

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• Thermodynamic bounds on generalized transport: From single-molecule to bulk observables
• Stochastic thermodynamics with odd controlling parameters
• Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle
• Housekeeping Entropy in Continuous Stochastic Dynamics with Odd-Parity Variables
• Free energy and entropy production rate for a Brownian particle that walks on overdamped medium
• Free-energy transduction within autonomous systems
• Comment on "Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force"
• A quantum fluctuation theorem for any Lindblad master equation
• Stochastic energetics of a colloidal particle trapped in a viscoelastic bath
• Non-equilibrium Dynamics, Thermalization and Entropy Production
• Design principles for biochemical oscillations with limited energy resources
• Thermodynamics of inequalities: from precariousness to economic stratification
• Master equation for She-Leveque scaling and its classification in terms of other Markov models of developed turbulence
• Fluctuation theorems and atypical trajectories
• Stochastic approach to entropy production in chemical chaos
• Work and heat probability distributions in out-of-equilibrium systems
• Open Quantum Dynamics Theory for Non-Equilibrium Work: Hierarchical Equations of Motion Approach
• Modeling of biomolecular machines in non-equilibrium steady states
• Fluctuations and correlations in nonequilibrium systems
• Stochastic approach and fluctuation theorem for ion transport
• The Measure-theoretic Identity Underlying Transient Fluctuation Theorems
• Excess entropy production in quantum system: Quantum master equation approach
• A fluctuation relation for weakly ergodic aging systems
• Non-linear Onsager relations for Gaussian quantum maps
• Thermodynamics of trajectories and local fluctuation theorems for harmonic quantum networks
• Nonequilibrium steady states in Langevin thermal systems
• Total entropy production fluctuation theorems in a nonequilibrium time-periodic steady state
• Taking snapshots of a quantum thermalization process: emergent classicality in quantum jump trajectories
• Response and flux of information in extended non-equilibrium dynamics
• Nonequilibrium work distributions in quantum impurity system-bath mixing processes
• Thermodynamic uncertainty relation for Langevin dynamics by scaling time
• Jensen Inequality and the Second Law
• Optical Tweezers: A Comprehensive Tutorial from Calibration to Applications
• Thermodynamic uncertainty relation from involutions
• Fluctuation theorem for black-body radiation
• Rogue waves and entropy consumption
• The derivation of Markov processes that violate detailed balance
• Modeling epitaxial film growth of C${}_{60}$ revisited
• Entropy production and entropy extraction rates for a Brownian particle that walks in underdamped medium
• On the symmetry of current probability distributions in jump processes
• Nonrelativistic hydrodynamics from quantum field theory: (I) Normal fluid composed of spinless Schrödinger fields
• Fluctuation Theorems for Entropy Production and Heat Dissipation in Periodically Driven Markov Chains
• Collective synchronization of dissipatively-coupled noise-activated processes
• Second Law of Thermodynamics without Einstein Relation
• Energy pumping in electrical circuits under avalanche noise
• A Gallavotti-Cohen-Evans-Morriss like symmetry for a class of Markov jump processes
• Fluctuation Ratios in the Absence of Microscopic Time Reversibility
• Nonequilibrium fluctuations in small systems: From physics to biology
• Statistics of work performed by optical tweezers with general time-variation of their stiffness
• Strong Coupling Thermodynamics and Stochastic Thermodynamics from the Unifying Perspective of Time-Scale Separation
• Detailed fluctuation theorem bounds apparent violations of the second law
• Lower bound for entropy production rate in stochastic systems far from equilibrium
• Exchange fluctuation theorems for strongly interacting quantum pumps
• Universal Scaling Bounds on a Quantum Heat Current
• Microscopic theory for the time irreversibility and the entropy production
• Derivation of the not-so-common fluctuation theorems
• Cycle symmetry, limit theorems, and fluctuation theorems for diffusion processes on the circle
• Transient photocurrent and optical absorption of disordered thin-film semiconductors: in-depth injection and nonlinear response
• Estimating entropy production in a stochastic system with odd-parity variables
• Dissipated work and fluctuation relations for non-equilibrium single-electron transitions
• Stochastic action for tubes: Connecting path probabilities to measurement
• Entropy production in systems with random transition rates
• Fluctuations of entropy and log-normal superstatistics
• On non-equilibrium physics and string theory
• Relaxation of a Colloidal Particle into a Nonequilibrium Steady State
• Conditional reversibility in nonequilibrium stochastic systems
• Fluctuation theorem for entropy production during effusion of an ideal gas with momentum transfer
• Information bound for entropy production from the detailed fluctuation theorem
• Thermodynamic Skewness Relation From Detailed Fluctuation Theorem
• Fluctuations and stability of a fast driven Otto cycle
• Fluctuation theorem for the renormalized entropy change in the strongly nonlinear nonequilibrium regime
• The non-equilibrium steady state of sparse systems with nontrivial topology
• A topological fluctuation theorem
• Fluctuation theorems for excess and housekeeping heats for underdamped systems
• Sub-Gaussian and subexponential fluctuation-response inequalities
• Fluctuation relations: a pedagogical overview
• Fluctuation relations with intermittent non-Gaussian variables
• Three heats in strongly coupled system and bath
• Generalized entropy production fluctuation theorems for quantum systems
• Exchange fluctuation theorems for a chain of interacting particles in presence of two heat baths
• Fluctuation theorem for entropy production of a partial system in the weak coupling limit
• Survival and extreme statistics of work, heat, and entropy production in steady-state heat engines
• Macrospin in external magnetic field: Entropy production and fluctuation theorems
• Linear response theory and transient fluctuation theorems for diffusion processes: a backward point of view
• Nonequilibrium fluctuation theorems in the presence of a time-reversal symmetry-breaking field and nonconservative forces
• Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
• Stochastic thermodynamics of macrospins with fluctuating amplitude and direction
• Nonequilbrium physics of generative diffusion models
• Precision bounds for multiple currents in open quantum systems
• The way from microscopic many-particle theory to macroscopic hydrodynamics
• Stochastic thermodynamics and fluctuation theorems for non-linear systems
• Continuous Monitoring of Energy in Quantum Open Systems
• Stochastic thermodynamics of a confined colloidal suspension under shear flow
• Entropy production for complex Langevin equations
• Entropy production and large deviation function for systems with microscopically irreversible transitions
• Quantum corrections to the entropy and its application in the study of quantum Carnot engines
• Limits on the Precision of Catenane Molecular Motors: Insights from Thermodynamics and Molecular Dynamics Simulations
• Strong fluctuation theorem for nonstationary nonequilibrium systems
• Moment generating function bound from detailed fluctuation theorem
• Entropy balance and Information processing in bipartite and non-bipartite composite systems
• Quantifying configurational information for a stochastic particle in a flow-field
• Temperature measurement from perturbations
• Partial entropy production in heat transport
• Characterizing steady state and transient properties of reaction-diffusion systems
• Irreversibility and entropy production of a thermally driven micromachine
• Entropy production in non-equilibrium fluctuating hydrodynamics
• Noncyclic and nonadiabatic geometric phase for counting statistics
• Experimental verification of Arcsine laws in mesoscopic non-equilibrium and active systems
• Upside/Downside statistical mechanics of nonequilibrium Brownian motion. I. Distributions, moments, and correlation functions of a free particle
• Microscopic reweighting for non-equilibrium steady states dynamics
• Non-equilibrium version of the Einstein relation
• Heat fluctuations in Ising models coupled with two different heat baths
• Estimate of entropy generation rate can spatiotemporally resolve the active nature of cell flickering
• Stochastic thermodynamics of interacting degrees of freedom: Fluctuation theorems for detached path probabilities
• Energy fluctuations of a Brownian particle freely moving in a liquid
• Entropy production in a photovoltaic cell
• Mutual Multilinearity of Nonequilibrium Network Currents
• Blinking statistics of a molecular beacon triggered by end-denaturation of DNA
• Symmetry and its breaking in path integral approach to quantum Brownian motion
• Stochastic Dynamics II: Finite Random Dynamical Systems, Linear Representation, and Entropy Production
• Exact distribution for work and stochastic efficiency of an isothermal machine
• Inferring entropy production from time-dependent moments
• Entropy and Thermodynamic second laws: New perspective - stochastic thermodynamics and fluctuation theorems
• Upside/Downside statistical mechanics of nonequilibrium Brownian motion. II. Heat transfer and energy partitioning of a free particle
• Stochastic entropy production for continuous measurements of an open quantum system
• Gambling Carnot Engine
• Maxwell's demon and the management of ignorance in stochastic thermodynamics
• Optimizing thermodynamic trajectories using evolutionary and gradient-based reinforcement learning
• Nonequilibrium Potential Function of Chemically Driven Single Macromolecules via Jarzynski-Type Log-Mean-Exponential Work
• Hysteresis curves reveal the microscopic origin of cooperative CO${}_2$ adsorption in diamine-appended metal-organic frameworks
• Exploring the extent of validity of quantum work fluctuation theorems in the presence of weak measurements
• Nonequilibrium work equalities in isolated quantum systems
• Role of topology in determining the precision of a finite thermometer
• Work, heat and entropy production along quantum trajectories
• Universal dynamic scaling in chemical reactions at and away from equilibrium
• Work relations with measurement and feedback control on nonuniform temperature systems
• Additivity of multiple heat reservoirs in Langevin equation
• Jensen bound for the entropy production rate in stochastic thermodynamics
• Markov property of Lagrangian turbulence
• Fluctuation relations in non-equilibrium stationary states of Ising models
• Modified saddle-point integral near singularity for the large deviation function
• Stochastic thermodynamics of a tagged particle within a harmonic chain
• Universal Quantum Fluctuation-Dissipation Relation for Systems Far From Equilibrium
• Continuous non-equilibrium transition driven by the heat flow
• Large deviation function and fluctuation theorem for classical particle transport
• Energy dissipation in small-scale shape-change dynamics
• Reweighting non-equilibrium steady-state dynamics along collective variables
• Mesoscopic Quantum Thermo-mechanics: a new frontier of experimental physics
• On asymptotic behavior of work distributions for driven Brownian motion
• Coupled-Double-Quantum-Dot Environmental Information Engines: A Numerical Analysis
• On correlations and fluctuations of time-averaged densities and currents with general time-dependence
• Fluctuation Theorem on a Riemannian Manifold
• On the relation between event-based and time-based current statistics
• Validity of path thermodynamics in reactive systems
• Quantum corrections to the entropy in a driven quantum Brownian motion model
• Comment on "Generalized exclusion processes: Transport coefficients"
• Work probability distribution and tossing a biased coin
• Fluctuation theorem for irreversible entropy production in electrical conduction
• Entropy bound for time reversal markers
• Probabilities for informational free lunches in stochastic thermodynamics
• Improved estimation for energy dissipation in biochemical oscillations
• Quantum Fluctuations of Entropy Production for Fermionic Systems in Landauer-Buttiker State
• Echo states for detailed fluctuation theorems
• Thermodynamic uncertainty relations in a linear system
• Entropy Anomaly in Langevin-Kramers Dynamics with a Temperature Gradient, Matrix Drag, and Magnetic Field
• General relativistic stochastic thermodynamics
• A statistical physics viewpoint on the dynamics of the bouncing ball
• Promoting Fluctuation Theorems into Covariant Forms
• Entropy production for partially observed harmonic systems
• Stochastic Thermodynamics and Hierarchy of Fluctuation Theorems with Multiple Reservoirs
• Macroscopic fluxes and local reciprocal relation in second-order stochastic processes far from equilibrium
• Feynman-Kac theory of time-integrated functionals: Itô versus functional calculus
• Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
• Work distribution function for a Brownian particle driven by a nonconservative force
• Geometrical bounds on irreversibility in squeezed thermal bath
• Rate in Template-directed Polymer Synthesis
• Microscopic analysis of the microscopic reversibility in quantum systems
• The Duality in Quantum Work
• Operational characteristics of single particle heat engines and refrigerators with time asymmetric protocol
• Thermodynamics of memory erasure via a spin reservoir
• Realization of all-optical underdamped stochastic Stirling engine
• Maximal dispersion of adaptive random walks
• Thermodynamic fluctuation theorems govern human sensorimotor learning
• Non-equilibrium steady state and induced currents of a mesoscopically-glassy system: interplay of resistor-network theory and Sinai physics
• Prior-predictive value from fast growth simulations
• Fluctuation theorems in inhomogenious media under coarse graining
• Mutual information change in feedback processes driven by measurement
• Full Counting Statistics and Fluctuation Theorem for the Currents in the Discrete Model of Feynman's Ratchet
• Classical and Thermodynamic work fluctuations
• Speed-accuracy relations for diffusion models: Wisdom from nonequilibrium thermodynamics and optimal transport
• Thermodynamics of switching in multistable non-equilibrium systems
• Measurement of irreversibility and entropy production via the tubular ensemble
• Exact time-dependent analytical solutions for entropy production rate for a system that operates in a heat bath where its temperature varies linearly in space
• Theory of Non-equilibrium Asymptotic State Thermodynamics: Interacting Ehrenfest Urn Ring as an Example
• A work fluctuation theorem for a Brownian particle in a non confining potentia
• Nonequilibrium thermodynamics perspectives for the monotonicity of the renormalization group flow
• Thermal Contact I : Symmetries ruled by Exchange Entropy Variations
• Violation of the second fluctuation-dissipation relation and entropy production in nonequilibrium medium
• Thermodynamic nature of irreversibility in active matter
• Upper bound for the average entropy production based on stochastic entropy extrema
• Geometric view of stochastic thermodynamics for non-equilibrium steady states
• Quantum stochastic thermodynamics in the mesoscopic-leads formulation
• Stochastic thermodynamics of Fisher information
• Effective Affinity for Generic Currents in Markov Processes
• Fluctuation theorems in general relativistic stochastic thermodynamics
• Validity of path thermodynamic description of reactive systems: Microscopic simulations
• Global optimization and monotonicity in entropy production of weak drivings
• Nonequilibrium work energy relation for non-Hamiltonian dynamics
• Identities for Entropy Change Associated with the Time-Evolution of an Open System
• Path-dependent Entropy Production
• Positional information trade-offs in boundary-driven reaction-diffusion systems
• Apparent violations of the second law in the quantum-classical dynamics of interacting levitated nanoparticles
• Universal Ideal Behavior and Macroscopic Work Relation of Linear Irreversible Stochastic Thermodynamics
• Multi-point nonequilibrium umbrella sampling and associated fluctuation relations
• Roles of Local Non-equilibrium Free Energy in the Description of Biomolecules
• Large deviations in the alternating mass harmonic chain
• Full counting statistics and first-passage times in quantum Markovian processes: Ensemble relations, metastability, and fluctuation theorems
• Work statistics at first-passage times
• Illusory cracks in the second law of thermodynamics in quantum nanoelectronics
• Analysis of entropy production in finitely slow processes between nonequilibrium steady states
• Additivity and density fluctuations in Vicsek-like models of self-propelled particles
• Stochastic entropy production in the quiet Sun magnetic fields
• Fluctuation Theorem of Information Exchange between Subsystems that Co-Evolve in Time
• Many-body perturbation theory and fluctuation relations for interacting population dynamics
• Stochastic paths controlling speed and dissipation
• Imitating non-equilibrium steady states using time-varying equilibrium force in many-body diffusive systems
• Foundations of Stochastic Thermodynamics
• Periodically Driven Harmonic Langevin Systems
• Work relations for time-dependent states
• Pumped heat and charge statistics from Majorana braiding
• Fluctuation-induced drift in a gravitationally tilted optical lattice
• Dissipation in Hydrodynamics from Micro- to Macroscale: Wisdom from Boltzmann and Stochastic Thermodynamics
• Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes
• Fluctuation relation in continuous-time random walks driven by an external field
• Martingale drift of Langevin dynamics and classical canonical spin statistics
• Covariant Non-equilibrium Thermodynamics from Ito-Langevin Dynamics
• Aspects of the disordered harmonic chain
• Oscillating states of driven Langevin systems in large viscous regime
• Particle current fluctuations in a particle-nonconserving process
• Ternary Representation of Stochastic Change and the Origin of Entropy and Its Fluctuations
• Auxiliary open quantum system for the Floquet quantum master equation
• Fluctuation theorems with optical tweezers: theory and practice
• Effect of viscous friction on entropy, entropy production and entropy extraction rates in underdamped and overdamped media
• Fluctuations in reactive networks subject to extrinsic noise studied in the framework of the Chemical Langevin Equation
• Universal Scaling Property of System Approaching Equilibrium
• Thermodynamic interpretation to Stochastic Fisher Information and Single-Trajectory Speed Limits
• Experimental studies of the transient fluctuation theorem using liquid crystals
• Generalized integral fluctuation relation with feedback control for diffusion processes
• Fluctuation Analysis of the Atmospheric Energy Cycle
• Universal interpretation of efficacy parameter in perturbed nonequilibrium systems
• Entropy production in a non-Markovian environment
• Entropy production in non-reciprocal polar active mixtures
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• Interplay between Markovianity and Progressive Quenching
• Quantum thermodynamics in a single-electron box
• Extreme-Value Statistics of Stochastic Transport Processes: Applications to Molecular Motors and Sports
• Experimental demonstration of generalized quantum fluctuation theorems in the presence of coherence
• Emergence of Fluctuation Relations in UNO
• Stochastic Dynamics of Extended Objects in Driven Systems: I. Higher-Dimensional Currents in the Continuous Setting
• Irreversibility and correlations in coupled quantum oscillators
• Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems
• A Cold Tracer in a Hot Bath: In and Out of Equilibrium
• Nonequilibrium free energy during polymer chain growth
• Limiting energy dissipation induces glassy kinetics in single cell high precision responses
• Stochastic Echo Phenomena in Nonequilibrium Systems
• Approximating microswimmer dynamics by active Brownian motion: Energetics and efficiency
• Maximum entropy principle for stationary states underpinned by stochastic thermodynamics
• Properties of the dissipation functions for passive and active systems
• Non-Markovian feedback control and acausality: an experimental study
• Entropy production and fluctuation theorems on complex networks
• Rotational diffusion under torque: Microscopic reversibility and excess entropy
• On the energetic analysis of autonomous quantum systems
• Monotonicity of RG flow in emergent dual holography of worldsheet nonlinear $\sigma$ model
• Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates
• Path-reversal, Doi-Peliti generating functionals, and dualities between dynamics and inference for stochastic processes
• Work, entropy production, and thermodynamics of information under protocol constraints
• Thermodynamic uncertainty relation for underdamped dynamics driven by time-dependent protocols
• Galilean relativity for Brownian dynamics and energetics
• Reverse-time analysis uncovers universality classes in directional biological dynamics
• The validity of the no-pumping theorem in systems with finite-range interactions between particles
• Experimentally accessible measurement of irreversibility in stochastic systems by categorizing single-molecule displacements
• Convergence of thermodynamic quantities and work fluctuation theorems in presence of random protocols
• Evading Thermodynamic Uncertainty Relations via Asymmetric Dynamic Protocols
• A possible generalized form of Jarzynski equality
• Entropy production and irreversibility in the linearized stochastic Amari neural model
• Tightening the thermodynamic uncertainty relations with null-entropy events: What we learn when nothing happens
• Generalization of Gibbs Entropy and Thermodynamic Relation
• Counting observables in stochastic excursions
• Transient fractality as a mechanism for emergent irreversibility in chaotic Hamiltonian dynamics
• Self-organization without heat: the geometric ratchet effect
• Unravelling the Flow of Information in a Nonequilibrium Process in the Presence of Hydrodynamic Interactions
• Explicit noise and dissipation operators for quantum stochastic thermodynamics
• Stochastic entropy production in diffusive systems
• Statistical mechanics of a cold tracer in a hot bath
• Stochastic thermodynamics of entropic transport
• Extended Fluctuation Theorems for Repeated Measurements and Feedback within Hamiltonian Framework
• Thermodynamic inference in molecular motors: a Martingale approach
• Classical Geometric Fluctuation Relations
• Irreversibility of stochastic state transitions in Langevin systems with odd elasticity
• Molecular dynamics study on a nonequilibrium motion of a colloidal particle driven by an external torque
• Irreversibility of mesoscopic processes with hydrodynamic interactions
• Sub-Gaussian Error Bounds for Hypothesis Testing
• Green-Kubo formulas with symmetrized correlation functions for quantum systems in steady states: the shear viscosity of a fluid in a steady shear flow
• Quantum fluctuation theorem for initial near-equilibrium system
• Singular behaviour of time-averaged stress fluctuations on surfaces
• Time-reversed Shannon entropy as a chaos indicator for non-integrable systems
• Brownian magneto-gyrator as a tunable microengine
• The dynamical and thermodynamical origin of dissipative chaos
• Thermodynamic entropic uncertainty relation
• Non-equilibrium (thermo)dynamics of colloids under mobile piston compression
• Performance limits and trade-offs in entropy-driven biochemical computers
• Efficiency at the maximum power output for simple two-level heat engine
• Fluctuation theorems for autonomous work
• Effective Langevin equations leading to large deviation function of time-averaged velocity for a nonequilibrium Rayleigh piston
• Thermodynamic uncertainty relation in the overdamped limit with a magnetic Lorentz force
• Nonequilibrium dynamics and thermodynamics provide the underlying physical mechanism of the perceptual rivalry
• Quantum entanglement and extractable work for Gaussian states
• Activity induced delocalization and freezing in self-propelled systems
• Consistent expansion of the Langevin propagator with application to entropy production
• Quasi adiabatic dynamics of energy eigenstates for solvable quantum system at finite temperature
• Counterfactual Thermodynamics: Extracting work from a lack of macroscopic change
• Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining
• Generalized entropy and extensions of the second law of thermodynamics and the Clausius relation for quantum systems in steady heat conduction states
• Sojourn probabilities in tubes and pathwise irreversibility for Itô processes
• Characterising quantum measurement through environmental stochastic entropy production in a two spin 1/2 system
• Nonadiabatic force matching for alchemical free-energy estimation
• Nanomechanical resonance captures pre-melting transition in DNA unravelling
• Entropy production in a generalized breathing parabola model: exact path integral calculations
• Non-Uniform Convergence in Moment Expansions of Integral Work Relations
• Nonequilibrium Thermodynamics of Time-dependent Langevin Systems: Energy Balance Relation and the Extended Form of the Second Law
• The Information Dynamics of Generative Diffusion
• Information loss and entropy production during dissipative processes in a macroscopic system kicked out of the equilibrium
• Fluctuation theorem in cavity quantum electrodynamics systems
• Revisiting weak measurement in light of thermodynamics
• The principle of microreversibility and the fluctuation relations for quantum systems driven out of equilibrium
• Fluctuations of Heat in Driven Two-State Systems: Application to Single-Electron Box with Superconducting Gap
• Quantum thermodynamics under continuous monitoring: a general framework
• Thermodynamic uncertainty relations for relativistic quantum thermal machines
• Complementary aspects of non-equilibrium thermodynamics