Fluctuation theorem for stochastic dynamics

Abstract

The fluctuation theorem of Gallavotti and Cohen holds for finite systems undergoing Langevin dynamics. In such a context all non-trivial ergodic theory issues are by-passed, and the theorem takes a particularly simple form. As a particular case, we obtain a nonlinear fluctuation-dissipation theorem valid for equilibrium systems perturbed by arbitrarily strong fields.

15 pages, a section rewritten

References in corpus (1)

• Fluctuation-Dissipation theorems and entropy production in relaxational systems

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• Entropy production in non-equilibrium fluctuating hydrodynamics
• Revisiting boundary-driven non-equilibrium Markov dynamics in arbitrary potentials via supersymmetric quantum mechanics and explicit large deviations at various levels
• Upside/Downside statistical mechanics of nonequilibrium Brownian motion. I. Distributions, moments, and correlation functions of a free particle
• Fractal catastrophes
• Constraining work fluctuations of non-Hermitian dynamics across the exceptional point of a superconducting qubit
• Microreversibility and driven Brownian motion with hydrodynamic long-time correlations
• Partial entropy production in heat transport
• An optimization-based equilibrium measure describes non-equilibrium steady state dynamics: application to edge of chaos
• Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation
• Non-equilibrium Thermodynamics and Fluctuations
• Nonequilibrium Steady State and Heat Transport in Nonlinear Open Quantum Systems: Stochastic Influence Action and Functional Perturbative Analysis
• Mutual Multilinearity of Nonequilibrium Network Currents
• Performance limits of information engines
• Adaptive power method for estimating large deviations in Markov chains
• Stochastic entropy production for continuous measurements of an open quantum system
• Inhomogeneous asymmetric exclusion processes between two reservoirs : large deviations for the local empirical observables in the Mean-Field approximation
• Brownian systems perturbed by mild shear: Comparing response relations
• Symmetry and its breaking in path integral approach to quantum Brownian motion
• Upside/Downside statistical mechanics of nonequilibrium Brownian motion. II. Heat transfer and energy partitioning of a free particle
• Entropy and Thermodynamic second laws: New perspective - stochastic thermodynamics and fluctuation theorems
• Exact distribution for work and stochastic efficiency of an isothermal machine
• Fluctuation Relation for Qubit-Calorimetry
• Statistical work-energy theorems in deterministic dynamics
• Active Fluctuation Symmetries
• Fluctuation Theorems on Nishimori Line
• Symmetries of cyclic work distributions for an isolated harmonic oscillator
• Nonequilibrium Potential Function of Chemically Driven Single Macromolecules via Jarzynski-Type Log-Mean-Exponential Work
• Fluctuation Theorem in Rachet System
• Modified saddle-point integral near singularity for the large deviation function
• Large deviations for quadratic functionals of stable Gauss-Markov chains and entropy production
• Markov property of Lagrangian turbulence
• Continuous non-equilibrium transition driven by the heat flow
• Small noise asymptotic of the Gallavotti-Cohen functional for diffusion processes
• Stationary State Fluctuation Theorems for Driven Langevin Systems
• Fluctuation relations in non-equilibrium stationary states of Ising models
• Work fluctuations in a nematic liquid crystal
• Nonequilibrium work equalities in isolated quantum systems
• Kinetic approach to the Gaussian thermostat in a dilute sheared gas in the thermodynamic limit
• A Note on Non-equilibrium Work Fluctuations and Equilibrium Free Energies
• An experimental test of the local fluctuation theorem in chains of weakly interacting Anosov systems
• Work relations with measurement and feedback control on nonuniform temperature systems
• Microreversibility and quantum transport in Aharonov-Bohm rings
• Using the fluctuation-dissipation theorem for nonconservative forces
• Comment on "Generalized exclusion processes: Transport coefficients"
• Thermodynamic uncertainty relations in a linear system
• Work relations for a system governed by Tsallis statistics
• A statistical physics viewpoint on the dynamics of the bouncing ball
• Echo states for detailed fluctuation theorems
• Meta-work and the analogous Jarzynski relation in ensembles of dynamical trajectories
• On the relation between event-based and time-based current statistics
• Entropy production for partially observed harmonic systems
• Validity of path thermodynamics in reactive systems
• Finite-time fluctuation theorem for diffusion-influenced surface reactions
• Work probability distribution and tossing a biased coin
• Finite-time fluctuation theorem for diffusion-influenced surface reactions on spherical and Janus catalytic particles
• Tensor-Network Approaches to Counting Statistics for the Current in a Boundary-Driven Diffusive System
• On the local space-time structure of non-equilibrium steady states
• General relativistic stochastic thermodynamics
• Fluctuation of the entropy production for the Lorentz gas under small external forces
• Fluctuation Theorem and Thermodynamic Formalism
• Energy Storage in Steady States under Cyclic Local Energy Input
• Transient State Work Fluctuation Theorem for a Driven Classical System
• Stochastic Thermodynamics and Hierarchy of Fluctuation Theorems with Multiple Reservoirs
• Non-equilibrium thermodynamics as gauge fixing
• Extreme value statistics of work done in stretching a polymer in a gradient flow
• Large deviations for diffusions: Donsker-Varadhan meet Freidlin-Wentzell
• Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
• Nonlinear transport effects in mass separation by effusion
• Inferring entropy production in many-body systems using nonequilibrium maximum entropy
• Langevin analogy between particle trajectories and polymer configurations
• Work distribution function for a Brownian particle driven by a nonconservative force
• Speed-accuracy relations for diffusion models: Wisdom from nonequilibrium thermodynamics and optimal transport
• Full Counting Statistics and Fluctuation Theorem for the Currents in the Discrete Model of Feynman's Ratchet
• A generalized detailed balance relation
• Measurement of irreversibility and entropy production via the tubular ensemble
• Statistical Mechanics of Entropy Production: Gibbsian hypothesis and local fluctuations
• A perturbation theory for large deviation functionals in fluctuating hydrodynamics
• Quantum quench thermodynamics at high temperatures
• Mutual information change in feedback processes driven by measurement
• Power fluctuations in sheared amorphous materials: A minimal model
• Microreversibility, nonequilibrium response, and Euler's polynomials
• Thermal Contact I : Symmetries ruled by Exchange Entropy Variations
• Theory of Non-equilibrium Asymptotic State Thermodynamics: Interacting Ehrenfest Urn Ring as an Example
• Fluctuation Theorem of Information Exchange between Subsystems that Co-Evolve in Time
• Large deviations in the alternating mass harmonic chain
• Universal Ideal Behavior and Macroscopic Work Relation of Linear Irreversible Stochastic Thermodynamics
• Path-dependent Entropy Production
• Fluctuation theorems for discrete kinetic models of molecular motors
• Glauber's Ising chain between two thermostats
• Multi-point nonequilibrium umbrella sampling and associated fluctuation relations
• Infinite family of universal profiles for heat current statistics in Fourier's law
• Hidden energy flows in strongly coupled nonequilibrium systems
• Roles of Local Non-equilibrium Free Energy in the Description of Biomolecules
• Validity of path thermodynamic description of reactive systems: Microscopic simulations
• Dissipation in Hydrodynamics from Micro- to Macroscale: Wisdom from Boltzmann and Stochastic Thermodynamics
• Fluctuation relation in continuous-time random walks driven by an external field
• Many-body perturbation theory and fluctuation relations for interacting population dynamics
• Steady state thermodynamics
• Foundations of Stochastic Thermodynamics
• Work relations for time-dependent states
• Fluctuation formula for nonreversible dynamics in the thermostated Lorentz gas
• Injected Power Fluctuations in 1D dissipative systems : role of ballistic transport
• Aspects of the disordered harmonic chain
• Rare-event trajectory ensemble approach to study dynamical phase transitions in the zero temperature Glauber model
• Force-free kinetic inference of entropy production
• Resonant Response in Non-equilibrium Steady States
• Stochastic functionals and fluctuation theorem for the multi-kangaroo process
• Generalized integral fluctuation relation with feedback control for diffusion processes
• Universal Scaling Property of System Approaching Equilibrium
• Fluctuation theorems with optical tweezers: theory and practice
• Brownian-motion approach to statistical mechanics: Langevin equations, fluctuations, and timescales
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• Stochastic Echo Phenomena in Nonequilibrium Systems
• Non-Markovianity, entropy production, and Jarzynski equality
• Large-time asymptotic of heavy tailed renewal processes
• Lecture notes on large deviations in non-equilibrium diffusive systems
• Wasserstein distance in speed limit inequalities for Markov jump processes
• Free energy differences : Representations, estimators, and sampling strategies
• Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems
• Non-equilibrium dynamics of the piston in the Szilard engine
• Fluctuations in granular gases
• The information geometry of 2-field functional integrals
• Stochastic Dynamics of Extended Objects in Driven Systems: I. Higher-Dimensional Currents in the Continuous Setting
• A supersymmetric quantum perspective on the explicit large deviations for reversible Markov jump processes, with applications to pure and random spin chains
• The McLennan-Zubarev steady state distribution and fluctuation theorems
• Information Criteria for quantifying loss of reversibility in parallelized KMC
• Thermodynamic uncertainty relation for underdamped dynamics driven by time-dependent protocols
• Symmetry for the duration of entropy-consuming intervals
• Generalization of Gibbs Entropy and Thermodynamic Relation
• A fluctuation theorem for Floquet quantum master equations
• Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates
• Singular behaviour of time-averaged stress fluctuations on surfaces
• From Global to Local Fluctuation Theorems
• Molecular dynamics study on a nonequilibrium motion of a colloidal particle driven by an external torque
• Quantum fluctuation theorem for initial near-equilibrium system
• Entropy production and fluctuation theorems on complex networks
• Irreversibility in scalar active turbulence: The role of topological defects
• Stochastic modeling of gene expression: application of ensembles of trajectories
• Thermodynamic large fluctuations from uniformized dynamics
• On the Gallavotti-Cohen symmetry for stochastic systems
• Large deviations and Gallavotti-Cohen principle for dissipative PDE's with rough noise
• Green-Kubo formulas with symmetrized correlation functions for quantum systems in steady states: the shear viscosity of a fluid in a steady shear flow
• The validity of the no-pumping theorem in systems with finite-range interactions between particles
• Work fluctuations for a confined Brownian particle: the role of initial conditions
• On the energetic analysis of autonomous quantum systems
• Duration of local violations of the second law of thermodynamics along single trajectories in phase space
• The large-time and vanishing-noise limits for entropy production in nondegenerate diffusions
• Thermalization with a multibath: an investigation in simple models
• Statistical properties of the energy flux between two NESS thermostats
• Path-reversal, Doi-Peliti generating functionals, and dualities between dynamics and inference for stochastic processes
• Reformulating non-equilibrium steady-states and generalised Hopfield discrimination
• Investigation of multiple-dynein transport of melanosomes by non-invasive force measurement using fluctuation unit $\chi$
• Effective Langevin equations leading to large deviation function of time-averaged velocity for a nonequilibrium Rayleigh piston
• Current statistics and depinning transition for a one-dimensional Langevin process in the weak-noise limit
• Dynamics of a massive intruder in a homogeneously driven granular fluid
• Divergent stiffness of one-dimensional growing interfaces
• The principle of microreversibility and the fluctuation relations for quantum systems driven out of equilibrium
• Monte Carlo simulations with a generalized detailed balance using the quantum-classical isomorphism
• The statistics of diffusive flux
• Computing large deviation rate functions of entropy production for diffusion processes by an interacting particle method
• Fluctuation Relations associated to an arbitrary bijection in path space
• Characterising quantum measurement through environmental stochastic entropy production in a two spin 1/2 system
• Defining and finding lifelike entities with a lazy filter
• Miniatures on Open Quantum Systems
• Fluctuation theorems for autonomous work
• Non-Uniform Convergence in Moment Expansions of Integral Work Relations
• Action Principle and Dynamic Ensemble Theory for Non-equilibrium Markov Chains
• Stationarity, time--reversal and fluctuation theory for a class of piecewise deterministic Markov processes
• Structure of the optimal path to a fluctuation
• Two-temperature continuum model for viscoplasticity in metals based on fluctuation relation
• Nonequilibrium Thermodynamics of Time-dependent Langevin Systems: Energy Balance Relation and the Extended Form of the Second Law
• Stochastic Thermodynamics, Reversible Dynamical Systems and Information Theory
• Generalized entropy and extensions of the second law of thermodynamics and the Clausius relation for quantum systems in steady heat conduction states
• Entropy Production in Driven Spatially Extended Systems
• Nonequilibrium identities of granular vibrating beds
• The Steady State Distribution of the Master Equation
• Fluctuations relations for semiclassical single-mode laser
• Energy fluctuations in a biharmonically driven nonlinear system
• Mapping current and activity fluctuations in exclusion processes: consequences and open questions
• Counterfactual Thermodynamics: Extracting work from a lack of macroscopic change
• Macroscopic dynamical fluctuations in Kac ring model