Mean Field Dynamical Exponents in Finite-Dimensional Ising Spin Glass

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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20 pages, 12 figures, uses epsfig.sty. One reference added. Also available at http://chimera.roma1.infn.it/index_papers_comple

Scientific paper

10.1088/0305-4470/30/20/015

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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