Critical Exponents for the Re-entrant Phase Transitions in the Three-Dimensional Blume-Emery-Grifilths Model on the Cellular Automaton

作     者：N. Seferoglu B. Kutlu 

作者机构：GaziUfniversitesi Fen Bilimleri Enstitfisfi Fizik Anabilim Dah Ankara Turkey GaziUniversitesi Fen-Edebiyat Fakiiltesi Fizik Boliumfi 06500 Teknikokullar Ankara Turkey 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2007年第24卷第7期

页      面：2040-2043页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Gazi University(BAP:05/2003-07) 

主　　题：Three-Dimensional Blume-Emery-Griffiths BEG CCA 

摘      要：The critical behaviour of the three-dimensional Blume-Emery-Griffiths （BEG） model ＆ investigated at D/ J = O, -0.25 and -1 in the range of-1 ≤ K/J ≤ 0 for J -- 100. The simulations are carried out on a simple cubic lattice using the heating algorithm improved from the Creutz cellular automaton （CCA ） under periodic boundary conditions. The universality of the model are obtained for re-entrant and double re-entrant phase transitions which occur at certain D/J and K/J parameters, with J and K representing the nearest-neighbour bilinear and biquadratic interactions, and D being the single-ion anisotropy parameter. The values of static critical exponents β, γ and v are estimated within the framework of the finite-size scaling theory. The results are compatible with the universal Ising critical behaviour for all continuous phase transitions in these ranges.