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Phase transitions of antiferromagnetic Ising spins on the zigzag surface of an asymmetrical Husimi lattice

机译:反对称Husimi晶格的锯齿形表面上反铁磁Ising自旋的相变

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An asymmetrical two-dimensional Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice, which we have previously applied to study polymers near a surface. The model retains the advantages of simple formulation and exact calculation of the conventional Bethe-like lattices. An antiferromagnetic Ising model is solved on the surface of this lattice to evaluate thermal properties such as free energy, energy density and entropy, from which we have successfully identified a first-order order–disorder transition other than the spontaneous magnetization, and a secondary transition on the supercooled state indicated by the Kauzmann paradox.
机译:通过对角线切割规则正方形晶格创建的具有锯齿形表面的不对称二维伊辛模型已经开发出来,以通过递归晶格的方法研究表面上的热力学和相变,我们先前已将其应用于研究聚合物附近的聚合物。表面。该模型保留了常规Bethe-like晶格的简单公式化和精确计算的优点。在该晶格的表面上求解了反铁磁的伊辛模型,以评估热特性,例如自由能,能量密度和熵,从中我们已经成功地识别出了自发磁化以外的一阶有序-无序转变和次级转变由考兹曼悖论表明的过冷状态。

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