%0 Journal Article
%T Critical Exponents for the Re-entrant Phase Transitions in the Three-Dimensional Blume--Emery--Griffiths Model on the Cellular Automaton<br>Critical Exponents for the Re-entrant Phase Transitions in the Three-Dimensional Blume-Emery-Grifilths Model on the Cellular Automaton
%A N Seferoglu
%A B Kutlu
%A <br>N.
%A Seferoglu
%A B.
%A Kutlu
%J 中国物理快报
%D 2007
%I 
%X 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.
%K 64
%K 60
%K Cn
%K 64
%K 60
%K Fr<br>相位转移
%K 单元格式
%K 模型
%K 钢砂
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=03664AC44D480818E822186BA50F3C1F&yid=A732AF04DDA03BB3&vid=B91E8C6D6FE990DB&iid=DF92D298D3FF1E6E&sid=2D8A2D26AFF207D2&eid=CD65D483B6C24C75&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0