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.

arXiv comment8 pages, 4 figures, version to appear in Phys. Rev. B

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Cited by in corpus (19)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• The critical behavior of three-dimensional Ising spin glass models
• Critical parameters of the three-dimensional Ising spin glass
• Critical behavior of the three-dimensional bond-diluted Ising spin glass: Finite-size scaling functions and Universality
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• Testing statics-dynamics equivalence at the spin-glass transition in three dimensions
• Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model
• Universal dynamic scaling in three-dimensional Ising spin glasses
• Off-equilibrium finite-size method for critical behavior analyses
• Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses
• Critical behavior and universality in Levy spin glasses
• Study of the phase transition in the 3d Ising spin glass from out of equilibrium numerical simulations
• Universality in three-dimensional Ising spin glasses: Nonequilibrium dynamics from Monte Carlo simulations
• Nonequilibrium critical dynamics of the three-dimensional gauge glass
• Identification of the critical temperature from non-equilibrium time-dependent quantities
• Critical behavior of spin and chiral degrees of freedom in three-dimensional disordered XY models studied by the nonequilibrium aging method
• Overlap renormalization group transformations for disordered systems
• Dynamical critical behavior on the Nishimori point of frustrated Ising models