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Mean Field Dynamical Exponents in Finite-Dimensional Ising Spin Glass

Giorgio Parisi·Paola Ranieri·Federico Ricci-Tersenghi·Juan J. Ruiz-Lorenzo
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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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Giorgio Parisi, Paola Ranieri, Federico Ricci-Tersenghi, Juan J. Ruiz-Lorenzo. 1997-02-05. Mean Field Dynamical Exponents in Finite-Dimensional Ising Spin Glass. https://doi.org/10.1088/0305-4470%2F30%2F20%2F015

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