The Critical Exponent θ′θ' in Spin Glasses

preprint1999arXivOpen access

Abstract

Short-time dynamic scaling behavior of the 3D ±J\pm J Ising spin glass is studied by Monte Carlo methods. Starting the replicas with independent initial configurations with a small pseudo magnetization, the dynamic evolution of the overlap q(t) between two replicas is measured. The initial increase of the overlap q(t) is observed and the corresponding exponent θ′θ' is obtained. From the scaling relation λ=d/z−θ′λ=d/z-θ', the dynamic exponent z is estimated.

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