Finite-size effects of dimensional crossover in the quasi-two-dimensional three-state Potts model

Atsushi Yamagata

Physica A: Statistical Mechanics and its Applications, 1995, vol. 214, issue 3, 445-451

Abstract: A nearest neighbour spin pair of the quasi-two-dimensional three-state Potts model interacts with strength J(>0) in the xy-plane and with λJ (0⩽ λ ⪡ 1) on the z-axis. The phase transition is of second-order when λ=0 and is of first-order when λ>0. Dimensional crossover occurs with a change of the order of the phase transition. We study the finite-size effects of the phenomenon by using a Monte Carlo method with a multi-spin coding technique. The prediction of the finite-size scaling theory is consistent with the Monte Carlo results.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:214:y:1995:i:3:p:445-451

DOI: 10.1016/0378-4371(94)00274-W

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