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arxiv: 1411.6745 · v1 · pith:XOXTDPZRnew · submitted 2014-11-25 · ❄️ cond-mat.dis-nn · cond-mat.stat-mech

Universal dynamic scaling in three-dimensional Ising spin glasses

classification ❄️ cond-mat.dis-nn cond-mat.stat-mech
keywords dynamicscalingspintemperatureglassesisingnon-equilibriumslowing-down
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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 $v$ (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 $v$ and the system size. The equilibrium limit does not have to be reached. For the dynamic exponent we obtain $z = 5.85(9)$ for bimodal couplings distribution and $z=6.00(10)$ for the Gaussian case, thus supporting universal dynamic scaling (in contrast to recent claims of non-universal behavior).

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