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用参数变换方法,研究了钻石分形晶格上Ising自旋模型.精确求解了零场和非零场中系统的配分函数、自由能和关联函数,尤其推得了关联函数方程及其渐近行为的解析形式.结果表明,其关联行为与平移对称晶格上的Ising自旋系统类似.
The parametric transformation method is used to study the Ising spin model on the fractal lattice of diamonds. The partition function, free energy and the correlation function of the system in zero and non-zero fields are precisely solved, especially the correlation function equation and its asymptotic behavior The analytical results show that the correlation behavior is similar to that of the Ising spin system on a translatory symmetric lattice.