分数多分支Husimi递归晶格上反铁磁伊辛模型的热力学相变
The Thermodynamic Transitions of Antiferromagnetic Ising Model on the Fractional Multi-branched Husimi Recursive Lattice
摘要：
多分支Husimi递归格已被扩展到一个虚拟结构的分数个分支加入一个网站。虽然这种格在实空间中是不可画的，但它的概念与正则Husimi格是一致的。计算了这类晶格上反铁磁相互作用的伊辛自旋，考察了临界温度（$T_{c}$）和理想玻璃化转变温度（$T_{k}$）随分数支化数的变化.除了两种代表稳定态（晶体）和亚稳态（过冷液体）的溶液的相似结果以及指示相变温度之外，相变显示出随着分支数的变化而明确的移位。因此，分数分支数可以作为一个参数，作为一个调整工具，在构造递归格模型来描述实际系统。
英文摘要：
The multi-branched Husimi recursive lattice has been 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 sets of lattices were 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.
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