Ageing in spin-glasses in three, four and infinite dimensions



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Jiménez, S. and Martín Mayor, Víctor and Parisi, G. and Tarancón, A. (2003) Ageing in spin-glasses in three, four and infinite dimensions. Journal of physics A: mathematical and general, 36 (43). pp. 10755-10771. ISSN 0305-4470

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The SUE machine is used to extend by a factor of 1000 the time-scale of previous studies of the aging, out-of-equilibrium dynamics of the Edwards-Anderson model with binary couplings, on large lattices (L = 60). The correlation function, C(t+t_(w), t_(w)), t_(w) being the time elapsed under a quench from high-temperature, follows nicely a slightly-modified power law for t > t_(w). Very tiny (logarithmic), yet clearly detectable deviations from the full-aging t/t_(w) scaling can be observed. Furthermore, the t < t_(w) data shows clear indications of the presence of more than one time-sector in the aging dynamics. Similar results are found in four-dimensions, but a rather different behaviour is obtained in the infinite-dimensional z = 6 Viana-Bray model. Most surprisingly, our results in infinite dimensions seem incompatible with dynamical ultrametricity. A detailed study of the link correlation function is presented, suggesting that its aging-properties are the same as for the spin correlation-function.

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© 2003 IOP Publishing Ltd. We are indebted with L.A. Fernández and J.J. Ruiz-Lorenzo for discussions. We thank the Spanish MCyT for financial support through research contracts FPA2001-1813, FPA2000-0956, BFM2001-0718 and PB98-0842. V.M.M. is a Ramón y Cajal research fellow (MCyT) and S.J. is a DGA fellow.

Uncontrolled Keywords:Off-equilibrium dynamics; Replica symmetry; Ordered phase; Models; Behavior; Computer; Systems.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:46429
Deposited On:09 Mar 2018 09:32
Last Modified:09 Mar 2018 09:32

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