Fluctuation-Dissipation relations far from Equilibrium

Abstract

In this Article we review some recent progresses in the field of non-equilibrium linear response theory. We show how a generalization of the fluctuation-dissipation theorem can be derived for Markov processes, and discuss the Cugliandolo-Kurchan \cite{Cugliandolo93} fluctuation dissipation relation for aging systems and the theorem by Franz {\it et. al.} \cite{Franz98} relating static and dynamic properties. We than specialize the subject to phase-ordering systems examining the scaling properties of the linear response function and how these are determined by the behavior of topological defects. We discuss how the connection between statics and dynamics can be violated in these systems at the lower critical dimension or as due to stochastic instability.

18 pages, 10 figures

References in corpus (39)

• Theory of Phase Ordering Kinetics
• Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
• Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
• On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Two-time scales, two-temperature scenario for nonlinear rheology
• Measuring equilibrium properties in aging systems
• Phenomenology of local scale invariance: from conformal invariance to dynamical scaling
• Phase space geometry and slow dynamics
• Off equilibrium dynamics and aging in unfrustrated systems
• Monte-Carlo simulations of the violation of the fluctuation-dissipation theorem in domain growth processes
• Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain
• Weak-ergodicity breaking in mean-field spin-glass models
• The response of glassy systems to random perturbations: A bridge between equilibrium and off-equilibrium
• Fluctuation dissipation ratio in the one dimensional kinetic Ising model
• Fluctuation dissipation ratio in an aging Lennard-Jones glass
• Observable-dependence of fluctuation-dissipation relations and effective temperatures
• Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function
• Aging, phase ordering and conformal invariance
• A far-from-equilibrium fluctuation-dissipation relation for an Ising-Glauber-like model
• About the overlap distribution in mean field spin glass models
• Response Function of Coarsening Systems
• Measuring the fluctuation-dissipation ratio in glassy systems with no perturbing field
• Slow relaxation in the large N model for phase ordering
• On the connection between off-equilibrium response and statics in non disordered coarsening systems
• Scaling of the linear response function from zero field cooled and thermoremanent magnetization in phase ordering kinetics
• Scaling of the linear response in simple ageing systems without disorder
• Off equilibrium response function in the one dimensional random field Ising model
• Disorder Driven Roughening Transitions of Elastic Manifolds and Periodic Elastic Media
• Generalized off-equilibrium fluctuation-dissipation relations in random Ising systems
• Response Functions in Phase Ordering Kinetics
• Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems?
• Scaling and universality in the aging kinetics of the two-dimensional clock model
• Phase-ordering kinetics on graphs
• Generic features of the fluctuation dissipation relation in coarsening systems
• Relaxation and overlap probability function in the spherical and mean spherical model
• Comment on "Aging, phase ordering and conformal invariance"
• Aging dynamics and the topology of inhomogenous networks
• The fluctuation-dissipation relation in an Ising model without detailed balance

Cited by in corpus (35)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The effective temperature
• Frenesy: time-symmetric dynamical activity in nonequilibria
• Fluctuation-dissipation relations and critical quenches in the transverse field Ising chain
• Nonequilibrium Linear Response for Markov Dynamics, II: Inertial Dynamics
• Dynamic correlations, fluctuation-dissipation relations, and effective temperatures after a quantum quench of the transverse field Ising chain
• Characterising the nonequilibrium stationary states of Ornstein-Uhlenbeck processes
• Hidden symmetries and equilibrium properties of multiplicative white-noise stochastic processes
• Correlations of the density and of the current in non-equilibrium diffusive systems
• Scaling in the Aging Dynamics of the Site-diluted Ising Model
• Dependence of the fluctuation-dissipation temperature on the choice of observable
• Nonequilibrium Quantum Free Energy and Effective Temperature, Generating Functional and Influence Action
• A general fluctuation-response relation for noise variations and its application to driven hydrodynamic experiments
• Anomalous force-velocity relation of driven inertial tracers in steady laminar flows
• Supersymmetric formulation of multiplicative white--noise stochastic processes
• Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
• Fluctuations of two-time quantities and time-reparametrization invariance in spin-glasses
• Quenched dynamics of classical isolated systems: the spherical spin model with two-body random interactions or the Neumann integrable model
• Critical Langevin dynamics of the O(N)-Ginzburg-Landau model with correlated noise
• The role of initial state and final quench temperature on the aging properties in phase-ordering kinetics
• Fluctuations and effective temperatures in coarsening
• Path Integral approach to nonequilibrium potentials in multiplicative Langevin dynamics
• Pre-asymptotic dynamics of the infinite size Neumann (p=2 spherical) model
• Phase ordering in disordered and inhomogeneous systems
• The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium
• Asymmetric Langevin dynamics for the ferromagnetic spherical model
• Stationarization and Multithermalization in spin glasses
• Rigidity and Superfast Signal Propagation in Fluids and Solids in Non-Equilibrium Steady States
• Effective temperatures for single particle system under dichotomous noise
• Phase ordering in 3d disordered systems
• Entropy-based characterizations of the observable-dependence of the fluctuation-dissipation temperature
• Non-linear quantum critical dynamics and fluctuation-dissipation ratios far from equilibrium
• Effective temperature of a superfluid flowing in a random potential
• Effects of Frustration on Fluctuation-dissipation Relations
• Thermalization with a multibath: an investigation in simple models