Fluctuation theorems for stochastic dynamics

doi:10.1088/1742-5468/2007/07/P07020

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Journal of Statistical Mechanics: Theory and Experiment

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R J Harris and G M Schütz J. Stat. Mech. (2007) P07020 doi:10.1088/1742-5468/2007/07/P07020

Fluctuation theorems for stochastic dynamics

FREE ARTICLE Focus on Dynamics of Non-Equilibrium Systems

R J Harris¹ and G M Schütz²

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Journal of Statistical Mechanics: Theory and Experiment

Fluctuation theorems for stochastic dynamics

Heat and work fluctuations for a harmonic oscillator

Entropy Production in Nonequilibrium Systems at Stationary States

Joint probability distributions and fluctuation theorems

Factorial cumulants reveal interactions in counting statistics

Bibliography

Equilibrium, fluctuation relations and transport for irreversible deterministic dynamics

Thermodynamics of a stochastic twin elevator

Large deviation functions in a system of diffusing particles with creation and annihilation

Optimal Protocols and Optimal Transport in Stochastic Thermodynamics

Correlation function, response function and effective temperature of gene networks

The Jarzynski identity and the AdS/CFT duality

Nonequilibrium Thermodynamics and Nose−Hoover Dynamics

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On the work–free energy relations in a driven isothermal system: A historical and stochastic perspective

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Non-equilibrium Dynamics, Thermalization and Entropy Production

Irreversible models with Boltzmann–Gibbs probability distribution and entropy production

Microscopic analysis of the microscopic reversibility in quantum systems

Non-equilibrium steady states: maximization of the Shannon entropy associated with the distribution of dynamical trajectories in the presence of constraints

Microscopic versus macroscopic approaches to non-equilibrium systems

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Work fluctuations for a harmonic oscillator driven by an external random force

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Fluctuation Relations and Rare Realizations of Transport Observables

Transient fluctuation relations for time-dependent particle transport

Unifying approach for fluctuation theorems from joint probability distributions

Entropy production in irreversible systems described by a Fokker-Planck equation

Three faces of the second law. II. Fokker-Planck formulation

Three faces of the second law. I. Master equation formulation

Large fluctuations of the macroscopic current in diffusive systems: A numerical test of the additivity principle

Three Detailed Fluctuation Theorems

Nonequilibrium fluctuation theorems in the presence of a time-reversal symmetry-breaking field and nonconservative forces

Transition times in the low-noise limit of stochastic dynamics

Linear response theory and transient fluctuation relations for diffusion processes: a backward point of view

Work-fluctuation theorems for a particle in an electromagnetic field

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Statistical properties of entropy production derived from fluctuation theorems

The many faces of the second law

Entropy production and fluctuation relations for a KPZ interface

ASEP on a ring conditioned on enhanced flux

Crooks' fluctuation theorem for the fluctuating lattice-Boltzmann model

Nonequilibrium statistical mechanics of shear flow: invariant quantities and current relations

Fluctuations of the heat flux of a one-dimensional hard particle gas

Nonexistence of classical diamagnetism and nonequilibrium fluctuation theorems for charged particles on a curved surface

Interacting molecular motors: Efficiency and work fluctuations

Characterizing steady-state and transient properties of reaction-diffusion systems

Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems

Fluctuation relation and heterogeneous superdiffusion in glassy transport

Brownian particles in stationary and moving traps: The mean and variance of the heat distribution function

Entropy production theorems and some consequences

Statistics of trajectories in two-state master equations

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A generalized integral fluctuation theorem for general jump processes

The stochastic pump effect and geometric phases in dissipative and stochastic systems

Symmetry relations for multifractal spectra at random critical points

Harmonic damped oscillators with feedback: a Langevin study

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Stochastic approach and fluctuation theorem for ion transport

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Fluctuation relations in non-equilibrium stationary states of Ising models

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Nonequilibrium work distributions for a trapped Brownian particle in a time-dependent magnetic field

Reversibility, Heat Dissipation, and the Importance of the Thermal Environment in Stochastic Models of Nonequilibrium Steady States

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The fluctuation theorem for currents in semi-Markov processes

On the range of validity of the fluctuation theorem for stochastic Markovian dynamics

Thermodynamic time asymmetry in non-equilibrium fluctuations

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Nonequilibrium steady states of matrix-product form: a solver's guide