Dynamic critical behaviour in Ising spin glasses

Abstract

The critical dynamics of Ising spin glasses with Bimodal, Gaussian, and Laplacian interaction distributions are studied numerically in dimensions 3 and 4. The data demonstrate that in both dimensions the critical dynamic exponent $z_{\mathrm{c}}$, the non-equilibrium autocorrelation decay exponent ${\lambda }_c/z_{\mathrm{c}}$, and the critical fluctuation-dissipation ratio $X_{\infty }$ all vary strongly and systematically with the form of the interaction distribution.

8 pages, 4 figures, version to appear in Phys. Rev. B