Mean Field Dynamical Exponents in Finite-Dimensional Ising Spin Glass
Giorgio Parisi, Paola Ranieri, Federico Ricci-Tersenghi, Juan J. Ruiz-Lorenzo
Abstract
We report the value of the dynamical critical exponent z for the six dimensional Ising spin glass, measured in three different ways: from the behavior of the energy and the susceptibility with the Monte Carlo time and by studying the overlap-overlap correlation function as a function of the space and time. All three results are in a very good agreement with the Mean Field prediction z=4. Finally we have studied numerically the remanent magnetization in 6 and 8 dimensions and we have compared it with the behavior observed in the SK model, that we have computed analytically.
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