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Prog. Theor. Phys. Vol. 68 No. 2 (1982) pp. 493-507

[ Full Text PDF : FREE ACCESS (614K) ]

Finite-Size Scaling Approach to the Kinetic Ising Model

Hiroshi Takano

Department of Physics, University of Tokyo, Tokyo 113

(Received April 3, 1982)

Abstract:

The kinetic Ising model on a square lattice is studied by means of the finite-size scaling with the help of the Monte Carlo method. The results obtained are consistent with the universality hypothesis that the value of the dynamic critical expotent is universal for certain types of transition probabilities. The present results also suggest that the dynamic critical exponents for the relaxation times of the magnetization and energy are the same. Our estimation of the dynamic critical exponent z gives that z \cong2.2 ±0.1.


URL : http://ptp.ipap.jp/link?PTP/68/493/
DOI : 10.1143/PTP.68.493

[ Full Text PDF : FREE ACCESS (614K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 56 (1987) pp. 4218-4220 :
    Accurate Estimation of the Dynamical Critical Exponent of the Two-Dimensional Kinetic Ising Model Based on the Ising Machine m-TIS
    Nobuyasu Ito, Makoto Taiji and Masuo Suzuki
  2. Journal of the Physical Society of Japan 58 (1989) pp. 3871-3874 :
    Relaxation of the Spin Autocorrelation Function in the Kinetic Ising Model with Bond Dilution
    Hiroshi Takano and Seiji Miyashita
  3. Journal of the Physical Society of Japan 58 (1989) pp. 3910-3920 :
    New Approach to Study Critical Dynamics by Using Continued Fraction Representation
    Chahn Lee
  4. Journal of the Physical Society of Japan 62 (1993) pp. 370-371 :
    On Monte Carlo Methods for the Kinetic Ising Model
    Hiroshi Takano
  5. Journal of the Physical Society of Japan 64 (1995) pp. 423-429 :
    Relaxation of the Spin Autocorrelation Function in the Ising Spin Glass
    Hiroshi Takano and Seiji Miyashita
  6. Journal of the Physical Society of Japan 64 (1995) pp. 3688-3698 :
    Relaxation Modes in Random Spin Systems
    Hiroshi Takano and Seiji Miyashita
  7. Progress of Theoretical Physics Vol. 73 No. 5 (1985) pp. 1122-1140 :
    Dynamical Nature of the Phase Transition of the Two-Dimensional Kinetic Ising Model
    Seiji Miyashita and Hiroshi Takano
  8. Progress of Theoretical Physics Vol. 73 No. 6 (1985) pp. 1369-1376 :
    Order Parameter and Finite-Size Scaling
    Hiroshi Takano and Yukio Saito
  9. Progress of Theoretical Physics Vol. 79 No. 5 (1988) pp. 1080-1094 :
    Percolation Problem Describing ±J Ising Spin Glass System
    Yasuhiro Kasai and Ayao Okiji

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