Non-equilibrium work relations

Abstract

This is a brief review of recently derived relations describing the behaviour of systems far from equilibrium. They include the Fluctuation Theorem, Jarzynski's and Crooks' equalities, and an extended form of the Second Principle for general steady states. They are very general and their proofs are, in most cases, disconcertingly simple.

Brief Summer School Lecture Notes

References in corpus (4)

• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Classical and Quantum Fluctuation Theorems for Heat Exchange
• Nonequilibrium fluctuations in a resistor
• An experimental test of the Jarzynski equality in a mechanical experiment

Cited by in corpus (68)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
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• Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. IV: Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics
• On the freezing of variables in random constraint satisfaction problems
• Steady state fluctuation relations for systems driven by an external random force
• Fluctuation relations in simple examples of non-equilibrium steady states
• Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale
• Adiabatic response and quantum thermoelectrics for ac driven quantum systems
• Stochastic thermodynamics of active Brownian particles
• Dynamics of energy transport and entropy production in ac-driven quantum electron systems
• Active Brownian particles: Entropy production and fluctuation-response
• Recovery of free energy branches in single molecule experiments
• On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
• Statistical properties of entropy production derived from fluctuation theorems
• Unifying approach for fluctuation theorems from joint probability distributions
• Non-equilibrium steady states : maximization of the Shannon entropy associated to the distribution of dynamical trajectories in the presence of constraints
• Fluctuations in heat engines
• Asymmetry relations and effective temperatures for biased Brownian gyrators
• Entropy production and fluctuation theorems under feedback control: the molecular refrigerator model revisited
• Joint probability distributions and fluctuation theorems
• Non-equilibrium fluctuations and nonlinear response of an active bath
• Large deviations of the Lyapunov exponent in 2D matrix Langevin dynamics with applications to one-dimensional Anderson Localization models
• Statistics of power injection in a plate set into chaotic vibration
• Experimental study of out of equilibrium fluctuations in a colloidal suspension of Laponite using optical traps
• Nonequilibrium diffusion processes via non-Hermitian electromagnetic quantum mechanics with application to the statistics of entropy production in the Brownian gyrator
• Symmetry relation for multifractal spectra at random critical points
• Phase transition in time-reversible Navier-Stokes equations
• Fluctuation relations for anisotropic systems
• Multiple dynamic transitions in nonequilibrium work fluctuations
• Intrinsic and extrinsic thermodynamics for stochastic population processes with multi-level large-deviation structure
• Non-adiabatic entropy production for non-Markov dynamics
• Anomalous dynamical large deviations of local empirical densities and activities in the pure and in the random kinetically-constrained East Model
• Entropy production of a bound nonequilibrium interface
• Entropy production by active particles: Coupling of odd and even functions of velocity
• Entropy production and fluctuation relations for a KPZ interface
• An integral fluctuation theorem for systems with unidirectional transitions
• Non-equilibrium work relation beyond Boltzmann-Gibbs distribution
• Energy representation for out-of-equilibrium Brownian-like systems: steady states and fluctuation relations
• Non-equilibrium Dynamics, Thermalization and Entropy Production
• Fluctuation theorems and atypical trajectories
• Total entropy production fluctuation theorems in a nonequilibrium time-periodic steady state
• A Gallavotti-Cohen-Evans-Morriss like symmetry for a class of Markov jump processes
• Deterministic reversible model of non-equilibrium phase transitions and stochastic counterpart
• On the symmetry of current probability distributions in jump processes
• Derivation of the not-so-common fluctuation theorems
• Extremely rare ultra-fast non-equilibrium processes can be close to equilibrium: RNA unfolding and refolding
• Exchange fluctuation theorems for a chain of interacting particles in presence of two heat baths
• Fluctuation relations for systems in constant magnetic field
• Macrospin in external magnetic field: Entropy production and fluctuation theorems
• Stochastic thermodynamics of macrospins with fluctuating amplitude and direction
• Linear response theory and transient fluctuation theorems for diffusion processes: a backward point of view
• Entropy production in non-equilibrium fluctuating hydrodynamics
• Strong fluctuation theorem for nonstationary nonequilibrium systems
• Revisiting boundary-driven non-equilibrium Markov dynamics in arbitrary potentials via supersymmetric quantum mechanics and explicit large deviations at various levels
• Inhomogeneous asymmetric exclusion processes between two reservoirs : large deviations for the local empirical observables in the Mean-Field approximation
• Detecting Entanglement with Jarzynski's Equality
• Work probability distribution and tossing a biased coin
• Transient State Work Fluctuation Theorem for a Driven Classical System
• Classical and Thermodynamic work fluctuations
• Validity of path thermodynamic description of reactive systems: Microscopic simulations
• Nonequilibrium work energy relation for non-Hamiltonian dynamics
• A supersymmetric quantum perspective on the explicit large deviations for reversible Markov jump processes, with applications to pure and random spin chains
• Particle current fluctuations in a particle-nonconserving process
• Force fluctuations in stretching a tethered polymer
• Extended Fluctuation Theorems for Repeated Measurements and Feedback within Hamiltonian Framework
• Rotational diffusion under torque: Microscopic reversibility and excess entropy
• Energy fluctuations in a biharmonically driven nonlinear system