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Finite-size effects in the quasi-two-dimensional Ising model

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  • Yamagata, Atsushi

Abstract

In the quasi-two-dimensional Ising model a nearest neighbour spin pair interacts with strength J (> 0) in the xy-plane and with λJ (0 ≤ λ ⪡ 1) in the z-axis. It shows crossover from two-dimensional to three-dimensional behaviour as the critical point is approached. We study the finite-size effects of the phenomenon by using a Monte Carlo method with the multi-spin coding technique. We derive the finite-size scaling form of the critical temperature defined as the peak position of the specific heat. It is consistent with the Monte Carlo results.

Suggested Citation

  • Yamagata, Atsushi, 1994. "Finite-size effects in the quasi-two-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(4), pages 665-676.
    • Handle: RePEc:eee:phsmap:v:205:y:1994:i:4:p:665-676
    DOI: 10.1016/0378-4371(94)90228-3
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    References listed on IDEAS

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    1. Binder, K., 1986. "Decay of metastable and unstable states: Mechanisms, concepts and open problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 35-43.
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