The Critical Exponent ${\theta }^{\prime }$ in Spin Glasses

Abstract

Short-time dynamic scaling behavior of the 3D $\pm J$ 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 ${\theta }^{\prime }$ is obtained. From the scaling relation $\lambda =d/z-{\theta }^{\prime }$, the dynamic exponent z is estimated.

to appear in Mod. Phys. Lett. B

References in corpus (2)

• Generalized Dynamic Scaling for Critical Magnetic Systems
• A general learning algorithm for solving optimization problems and its application to the spin glass problem

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