Fluctuations of two-time quantities and time-reparametrization invariance in spin-glasses

Details Fluctuations of two-time quantities and time-reparametrization invariance in spin-glasses Fluctuations of two-time quantities and time-reparametrization invariance in spin-glasses

2011-05-15

arxiv.org/abs/1105.2949v1

J. Stat. Mech. (2011) P08015

Physics

Condensed Matter

Statistical Mechanics

17 pages, 5 figures

Scientific paper

This article is a contribution to the understanding of fluctuations in the out of equilibrium dynamics of glassy systems. By extending theoretical ideas based on the assumption that time-reparametrization invariance develops asymptotically we deduce the scaling properties of diverse high-order correlation functions. We examine these predictions with numerical tests in a standard glassy model, the 3d Edwards-Anderson spin-glass, and in a system where time-reparametrization invariance is not expected to hold, the 2d ferromagnetic Ising model, both at low temperatures. Our results enlighten a qualitative difference between the fluctuation properties of the two models and show that scaling properties conform to the time-reparametrization invariance scenario in the former but not in the latter.

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