Measuring equilibrium properties in aging systems

Abstract

We corroborate the idea of a close connection between replica symmetry breaking and aging in the linear response function for a large class of finite-dimensional systems with short-range interactions. In these system, characterized by a continuity condition with respect to weak random perturbations of the Hamiltonian, the ``fluctuation dissipation ratio'' in off-equilibrium dynamics should be equal to the static cumulative distribution function of the overlaps. This allows for an experimental measurement of the equilibrium order parameter function.

5 pages, LaTeX. The paper has been completely rewritten and shortened

References in corpus (4)

• Monte-Carlo simulations of the violation of the fluctuation-dissipation theorem in domain growth processes
• Violation of the Fluctuation Dissipation Theorem in Finite Dimensional Spin Glasses
• About the overlap distribution in mean field spin glass models
• On the Dynamics of the 4d Spin Glass in a magnetic field

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