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Effect Of The Number Of Energy Levels Of A Demon On The Simulation Of The Ising Models In Five To Seven Dimensions On The Creutz Cellular Automaton

Author

Listed:
  • N. AKTEKİN

    (Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, Teknikokullar, 06500 Ankara, Turkey)

Abstract

The Ising models in five to seven dimensions are simulated on the Creutz cellular automaton with the three- to five-bit demons on finite-size lattices. The simulations result in overlapping curves for both the order parameter and the internal energy. However, the magnetic susceptibility and the specific heat curves converge to the limiting ones as the number of bits increases. By fitting the order parameter data within the temperature interval where the infinite lattice is approximated, to a power law with correction and by using the renormalization group prediction for its leading critical exponent as the criterion, the value of the critical temperature for the infinite lattice is obtained. For the Ising models in five to seven dimensions, they are in agreement with the Monte Carlo and the series expansion results.

Suggested Citation

  • N. Akteki̇n, 1999. "Effect Of The Number Of Energy Levels Of A Demon On The Simulation Of The Ising Models In Five To Seven Dimensions On The Creutz Cellular Automaton," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 621-633.
    • Handle: RePEc:wsi:ijmpcx:v:10:y:1999:i:04:n:s0129183199000462
    DOI: 10.1142/S0129183199000462
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