Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses

Details Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses

1999-10-15

arxiv.org/abs/cond-mat/9910232v2

J. Phys. A. 33, 2373 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

LaTeX, 14 pages and 5 figures. A minor arithmetic error corrected and references updated

Scientific paper

10.1088/0305-4470/33/12/305

We present a high statistic systematic study of the overlap correlation function well below the critical temperature in the three dimensional Gaussian spin glass. The off-equilibrium correlation function has been studied confirming the power law behavior for the dynamical correlation length. In particular we have computed the dynamical critical exponent $z$ in a wide range of temperatures, $0.35 \le T \le 0.9$, obtaining a dependence $z(T)=6.2/T$ in a very good agreement with recent experiments. Moreover, we report a study of the violation of the fluctuation-dissipation theorem for very low temperatures $T=0.5$ and $T=0.35$. All our numerical results avoid a droplet model interpretation even when $T$ is as low as $T=0.35$.

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