MEAN-FIELD DYNAMICAL EXPONENTS IN FINITE-DIMENSIONAL ISING SPIN-GLASS

We have studied numerically the remanent magnetization in the six-and eight-dimensional Ising spin glass and we have compared it with the be haviour observed in the SK model, that we have also computed analytica lly. We also report the value of the dynamical critical exponent z in six dimensions measured in three different ways: from the behaviour of the energy and the susceptibility as a function of the Monte Carlo ti me and by studying the overlap-overlap correlation function as a funct ion of space and time. These three results are in very good agreement with the mean field prediction z = 4. Finally we have checked numerica lly the analytical prediction, obtained by assuming spontaneously brok en replica symmetry, for the most singular part of the propagator in t he spin-glass phase. This last result supports the existence of sponta neously broken replica symmetry in finite-dimensional spin glasses.