Universal dynamic scaling in three-dimensional Ising spin glasses.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Physics, University of California, Santa Cruz, California 95064, USA.

Published: August 2015

We use a nonequilibrium Monte Carlo simulation method and dynamical scaling to study the phase 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. This approach has the advantage that the equilibrium limit does not have to be strictly reached for a scaling analysis to yield critical exponents. For the dynamic exponent we obtain z=5.85(9) for bimodal couplings distribution and z=6.00(10) for the Gaussian case. Assuming universal dynamic scaling, we combine the two results and obtain z=5.93±0.07 for generic 3D Ising spin glasses.

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http://dx.doi.org/10.1103/PhysRevE.92.022128DOI Listing

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