Fluctuation-Dissipation theorems and entropy production in relaxational systems
arXiv:cond-mat/9705002 · doi:10.1103/PhysRevLett.79.2168
Abstract
We show that for stochastic dynamical systems out of equilibrium the violation of the fluctuation-dissipation equality is bounded by a function of the entropy production. The result applies to a much wider situation than `near equilibrium', comprising diffusion as well as glasses and other macroscopic systems far from equilibrium. For aging systems this bounds the age-frequency regimes in which the susceptibilities satisfy FDT in terms of the rate of decay of the H-function, a question intimately related to the reading of a thermometer placed in contact with the system.
4 pages, RevTex; formula and reference added plus various minor changes in the text
Cited by in corpus (53)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Fluctuation theorem for stochastic dynamics
- Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
- Equality connecting energy dissipation with violation of fluctuation-response relation
- The effective temperature
- Ageing Properties of Critical Systems
- Nonequilibrium Physics in Biology
- Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
- Effective temperature of active matter
- Heterogeneous aging in spin glasses
- Energy dissipation and violation of the fluctuation-response relation in non-equilibrium Langevin systems
- Stochastic dynamics of correlations in quantum field theory: From Schwinger-Dyson to Boltzmann-Langevin equation
- Real-time non-equilibrium dynamics of quantum glassy systems
- Spatially heterogeneous ages in glassy dynamics
- Dynamical response functions in models of vibrated granular media
- Work and heat fluctuations in two-state systems: a trajectory thermodynamics formalism
- Glassy systems under time-dependent driving forces: application to slow granular rheology
- Ultra-Slow Vacancy-Mediated Tracer Diffusion in Two Dimensions: The Einstein Relation Verified
- A Statistical Mechanics Approach to the Inherent States of Granular Media
- Thermal properties of slow dynamics
- Relaxation of finite perturbations: Beyond the Fluctuation-Response relation
- Distribution of the time of the maximum for stationary processes
- Does the brain behave like a (complex) network? I. Dynamics
- Entropy production of nano systems with timescale separation
- Critical aging of Ising ferromagnets relaxing from an ordered state
- Universal Bounds on Transport in Holographic Systems with Broken Translations
- Non-linear Response of the trap model in the aging regime : Exact results in the strong disorder limit
- The jamming transition of Granular Media
- Transient fluctuation relations for time-dependent particle transport
- Extended droplet theory for aging in short-ranged spin glasses and a numerical examination
- Time to reach the maximum for a stationary stochastic process
- Mathematical, Thermodynamical, and Experimental Necessity for Coarse Graining Empirical Densities and Currents in Continuous Space
- Energy dynamics in the Sinai model
- Interpolating the Sherrington-Kirkpatrick replica trick
- Out of equilibrium generalized Stokes-Einstein relation: determination of the effective temperature of an aging medium
- Quantum response theory for nonequilibrium steady states
- Quantifying reversibility in a phase-separating lattice gas: an analogy with self-assembly
- Probing Nonequilibrium Fluctuations through Linear Response
- Invariance principle for wave propagation inside inhomogeneously disordered materials
- A fluctuation relation for weakly ergodic aging systems
- Asymmetric Thermal Relaxation in Driven Systems: Rotations go Opposite Ways
- Effects of an external drive on the fluctuation-dissipation relation of phase-ordering systems
- Generalized equipartition for nonlinear multiplicative Langevin dynamics: application to laser-cooled atoms
- Mutual Multilinearity of Nonequilibrium Network Currents
- Brain temperature: what it means and what it can do for (cognitive) neuroscientists
- Fluctuation Dissipation Relations for Active Field Theories
- Observable Dependent Quasi-Equilibrium in Slow Dynamics
- Bringing together two paradigms of non-equilibrium: Fragile versus robust aging in driven glassy systems
- Entropy-based characterizations of the observable-dependence of the fluctuation-dissipation temperature
- Out-of-equilibrium thermodynamic relations in systems with aging and slow relaxation
- Violation of the second fluctuation-dissipation relation and entropy production in nonequilibrium medium
- Probing the limits of effective temperature consistency in actively driven systems
- Ubiquitous Dynamical Time Asymmetry in Measurements on Materials and Biological Systems