NONEQUILIBRIUM RELAXATION OF THE 3D±JEA MODEL

Fugao Wang, Naoki Kawashima and Masuo Suzuki
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Fugao Wang: Department of Physics, University of Tokyo, Tokyo 113, Japan
Naoki Kawashima: Department of Physics, University of Tokyo, Tokyo 113, Japan
Masuo Suzuki: Department of Physics, University of Tokyo, Tokyo 113, Japan

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 04, 573-594

Abstract: By studying correlation functions of two replicas with the damage spreading method, the spin glass transition temperature of the 3D±JEA model is evaluated by using Campbell's criterionD (Tg, t → ∞) = 1/2or$q_d^{AB} (T_g, t\to \infty) = 0$, whereDand$q_d^{AB}$are the Hamming distance and the overlap of the two replicas, respectively. The two replicas evolve with the same series of the random numbers and with initial spin-configurations related to each other by$S_i^A (t =0) = -S_i^B (t =0)$(for alli). From our simulational data for system sizes up toL = 64, the spin glass transition temperature is estimated asTg= 1.18 ± 0.06. The replica simulational method and the damage spreading method are compared with each other. The relaxation exponents of the magnetization and the correlation functions are also estimated in the vicinity ofTgon a large lattice and the dynamical critical exponent z is estimated asz ≃ 6.0.

Keywords: ±JSpin Glasses; Auto and Replica Correlation Functions; Damage Spreading (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1142/S012918319600048X

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