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Temperature Dependence of Spatial and Dynamic Heterogeneities above the Ising Spin Glass Transition

  • S. C. Glotzer (a1), P. H. Poole (a2), A. Coniglio (a3) and N. Jan (a4)

Abstract

The temperature dependence of the microstructure and local dynamics in the paramagnetic phase of the d = 2 and d = 3 ± J Ising spin glass model is examined by comparing the equilibrium distributions of local flip-rates and local energies calculated in large-scale Monte Carlo simulations. The emergence in this model of fast processes as the glass transition is approached corresponds with recent experimental results.

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[1] Ediger, M.D., Angell, C.A. and Nagel, S.R., J. Phys. Chem. 100, 13200 (1996); see also the reviews on glasses in Science 267 (1995), and Proceedings of Workshop on Glasses and the Glass Transition, J. Comp. Mat. Sci 4, 283–388 (1995).
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[4] Poole, P.H., Glotzer, S.C., Coniglio, A. and Jan, N. (preprint).
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[7] The first large-scale simulations focusing on the dynamics of the Ising spin glass model were reported in Ogielski, A.T. and Morgenstern, I., Phys. Rev. Lett 54, 928 (1985);
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Ogielski, A.T., Phys. Rev. Lett. 57, 1251 (1986). See also
Binder, K. and Young, A. P., Rev. Mod. Phys. 58, 801 (1986), and
Reger, H., Ann. Rev. Comp. Phys. II, 295 (World Scientific, Singapore, 1995) for reviews.
[8] For comparison, note that for a ferromagnetic Ising model εi would approach the same value for all sites. The same is true for νi.
[9] If P(x) describes the distribution of a set of N values {x i}, then the standard deviation σ of P{x} is given by where 〈x〉 is the average value of x. The skewness γ of P(x) is given by .
[10] A similar plot for the ferromagnetic Ising model would display a single point for each temperature.
[11] Nagel, S., et al., Advances in Chem. Phys., in press;
Dixon, P., et al, Phys. Rev. Lett. 65, 1108 (1990);
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[12] Lunkenheimer, P., et al., Phys. Rev. Lett. 77, 318 (1996); Proceedings of YKIS '96, in press, and these proceedings.
[13] Sokolov, A., et al., these proceedings, and references therein.

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