Dependence of the fluctuation-dissipation temperature on the choice of observable

Abstract

On general grounds, a nonequilibrium temperature can be consistently defined from generalized fluctuation-dissipation relations only if it is independent of the observable considered. We argue that the dependence on the choice of observable generically occurs when the phase-space probability distribution is non-uniform on constant energy shells. We relate quantitatively this observable dependence to a fundamental characteristics of nonequilibrium systems, namely the Shannon entropy difference with respect to the equilibrium state with the same energy. This relation is illustrated on a mean-field model in contact with two heat baths at different temperatures.

4 pages, 2 figures, final version

References in corpus (10)

• Fluctuations and response of nonequilibrium states
• Experimental verification of a modified fluctuation-dissipation relation for a micron-sized particle in a non-equilibrium steady state
• The fluctuation-dissipation relation: how does one compare correlation functions and responses?
• Fluctuation-Dissipation relations far from Equilibrium
• Intensive thermodynamic parameters in nonequilibrium systems
• Temperature in nonequilibrium systems with conserved energy
• Aging and effective temperatures near a critical point
• Frequency-dependent fluctuation-dissipation relations in granular gases
• Non-equilibrium temperatures in steady-state systems with conserved energy
• Fluctuation-dissipation relation on a Melde string in a turbulent flow, considerations on a "dynamical temperature"

Cited by in corpus (18)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The effective temperature
• Temperature in and out of equilibrium: a review of concepts, tools and attempts
• Correlations in quantum thermodynamics: Heat, work, and entropy production
• Fluctuations and response in a non-equilibrium micron-sized system
• Power-law distributions and fluctuation-dissipation relation in the stochastic dynamics of two-variable Langevin equations
• Dynamical Heterogeneity in a Highly Supercooled Liquid under a Sheared Situation
• Large deviations and chemical potential in bulk-driven systems in contact
• Non-Equilibrium Fluctuation-Dissipation Inequality and Non-Equilibrium Uncertainty Principle
• Temperature measurement from perturbations
• Influence of flux balance on the generalized chemical potential in mass transport models
• Entropy-based characterizations of the observable-dependence of the fluctuation-dissipation temperature
• Nonequilibrium chemical potentials of steady-state lattice gas models in contact: A large-deviations approach
• Nonequilibrium grand-canonical ensemble built from a physical particle reservoir
• Probing the Fluctuation-Dissipation Theorem in a Perrin-like Experiment
• Probing the limits of effective temperature consistency in actively driven systems
• Aging in the trap model as a relaxation further away from equilibrium
• Non-additive large deviations function for the particle densities of driven systems in contact