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

Atsushi Yamagata

Physica A: Statistical Mechanics and its Applications, 1994, vol. 205, issue 4, 665-676

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:205:y:1994:i:4:p:665-676

DOI: 10.1016/0378-4371(94)90228-3

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