Interface Approach to Phase Transitions and Ordering by Monte Carlo Simulations and Its Applications to Three-Dimensional Antiferromagnetic Potts Models
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概要
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We develop an interface approach to bulk phase transitions and ordered states byusing Monte Garlo simulations, and apply it to antiferromagnetic @-state Pollsmodels with q=3 -6 on the simple cubic lattice. A stiffness exponent a defined byAF -L', where AF is the interface free energy for a system of size L, is introduced asa measure of the stiffness of the ordered phase against an external stress. Applyingfinite-size scaling to AF and to the squared order parameter enable one to determineeach of T., v, p and y in order where T. is the critical temperature and the others arecritical exponents. This approach also provides a means to study properties of the or-dered state through a and interface profiles. In the q = 3 and 4 models the estimated exponents v, p, y and a indicate new universality classes. The q = 5 model shows a phasetransition, while the q=6 model does not. The q=3 -5 models have non-integervalues of a at low temperatures.The phase transitions in these models are confirmedto be due to entropy gains.
- 社団法人日本物理学会の論文
- 1989-04-15
著者
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Ueno Yohtaro
Department of Physics, Tokyo Institute of Technology
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ONO Ikuo
Department of Physics, Tokyo Institute of Technology
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Ono Ikuo
Department Of Physics Tokyo Institute Of Tchnology
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Ueno Yohtaro
Department Of Physics Tokyo Institute Of Technolog
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Sun Gang
Department Of Physics Tokyo Institute Of Technology
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Ueno Yohtaro
Department Of Physics Tokyo Institute Of Technogy
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