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arXiv · 1105.2949

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

Claudio Chamon·Federico Corberi·Leticia F. Cugliandolo
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Abstract

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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Claudio Chamon, Federico Corberi, Leticia F. Cugliandolo. 2011-05-15. Fluctuations of two-time quantities and time-reparametrization invariance in spin-glasses. https://doi.org/10.1088/1742-5468%2F2011%2F08%2Fp08015

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