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Nonequilibrium Relaxation Of The 3d±Jea Model

Author

Listed:
  • 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)

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.

Suggested Citation

  • Fugao Wang & Naoki Kawashima & Masuo Suzuki, 1996. "Nonequilibrium Relaxation Of The 3d±Jea Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 573-594.
    • Handle: RePEc:wsi:ijmpcx:v:07:y:1996:i:04:n:s012918319600048x
    DOI: 10.1142/S012918319600048X
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