Universal dynamic scaling in three-dimensional Ising spin glasses

preprint2014arXivOpen access

Abstract

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity vv (temperature change versus time) in Monte Carlo simulations starting at a high temperature. The normally problematic critical slowing-down is not hampering this kind of approach, since the system equilibrates quickly at the initial temperature and the slowing-down is merely reflected in the dynamic scaling of the non-equilibrium order parameter with vv and the system size. The equilibrium limit does not have to be reached. For the dynamic exponent we obtain z=5.85(9)z = 5.85(9) for bimodal couplings distribution and z=6.00(10)z=6.00(10) for the Gaussian case, thus supporting universal dynamic scaling (in contrast to recent claims of non-universal behavior).

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