The Critical Exponent $θ'$ in Spin Glasses

Details The Critical Exponent $θ'$ in Spin Glasses The Critical Exponent $θ'$ in Spin Glasses

1999-09-22

arxiv.org/abs/cond-mat/9909325v1

Mod. Phys. Lett., B13 (1999), 417

Physics

Condensed Matter

Statistical Mechanics

to appear in Mod. Phys. Lett. B

Scientific paper

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 $\theta'$ is obtained. From the scaling relation $\lambda =d/z-\theta'$, the dynamic exponent z is estimated.

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