RT Journal Article
T1 Ageing in spin-glasses in three, four and infinite dimensions
A1 Jiménez, S.
A1 Martín Mayor, Víctor
A1 Parisi, G.
A1 Tarancón, A.
AB 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.
PB IOP Publishing
SN 0305-4470
YR 2003
FD 2003-10-31
LK https://hdl.handle.net/20.500.14352/52191
UL https://hdl.handle.net/20.500.14352/52191
LA eng
NO © 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.
NO Spanish MCyT
NO Ramón y Cajal research fellow (MCyT)
NO DGA fellow
DS Docta Complutense
RD 16 abr 2025