Aging in one dimensional Edwards-Anderson spin-glass model with long-range interactions

MARCELO MONTEMURRO, FRANCISCO TAMARIT

INTERNATIONAL JOURNAL OF MODERN PHYSICS C

Año: 2003 vol. 14 p. 257 - 265

0129-1831

In this work we study, by means of numerical simulations, the out-of-equilibrium dynamics of the one-dimensional Edwards–Anderson model with long-range interactions ofthe form ±J model. In the limit of infinite range interactions we recover the well known Sherrington–Kirkpatrick mean-field version of the model, which presents a very complex dynamical behavior. At the other extreme, we can also recover the nearest-neighbor one-dimensional system. We focus our study on the dependence of the dynamics on thehistory of the sample (aging phenomena) for different values of . The model is knownto have mean-field exponents already for values of lambda  2/3. Our results indicate thatthe crossover to the dynamic mean-field occurs at a value of lambda < 2/3