Thermodynamic Transitions of Antiferromagnetic Ising Model on the Fractional Multi-branched Husimi Recursive Lattice

被引:9
作者
Huang Ran [1 ]
Chen Chong [2 ]
机构
[1] Shanghai Jiao Tong Univ, Sch Chem & Chem Engn, Shanghai 200240, Peoples R China
[2] RushandRan Res Co, Shanghai 200433, Peoples R China
关键词
critical temperature; ideal glass transition; Ising model; fractional multi-branched; Husimi lattice; MULTISITE INTERACTION SYSTEMS; PHASE-DIAGRAMS; STATES; BETHE; TREES; SYMMETRY; DENSITY; FIELD;
D O I
10.1088/0253-6102/62/5/19
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The multi-branched Husimi recursive lattice is extended to a virtual structure with fractional numbers of branches joined on one site. Although the lattice is undrawable in real space, the concept is consistent with regular Husimi lattice. The Ising spins of antiferromagnetic interaction on such a set of lattices are calculated to check the critical temperatures (T-c) and ideal glass transition temperatures (T-k) variation with fractional branch numbers. Besides the similar results of two solutions representing the stable state (crystal) and metastable state (supercooled liquid) and indicating the phase transition temperatures, the phase transitions show a well-defined shift with branch number variation. Therefore the fractional branch number as a parameter can be used as an adjusting tool in constructing a recursive lattice model to describe real systems.
引用
收藏
页码:749 / 754
页数:6
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