Huang Ran, Gujrati Purushottam D
State Key Laboratory of Microbial Metabolism and School of Life Sciences and Biotechnology, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China.
Department of Materials Technology and Engineering, Research Institute of Zhejiang University-Taizhou, Taizhou, Zhejiang 318000, People's Republic of China.
R Soc Open Sci. 2019 Mar 6;6(3):181500. doi: 10.1098/rsos.181500. eCollection 2019 Mar.
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.
通过对角切割规则的正方形晶格创建了一个具有锯齿形表面的非对称二维伊辛模型，以递归晶格方法研究表面的热力学和相变，我们之前曾用该方法研究表面附近的聚合物。该模型保留了传统类贝特晶格简单公式化和精确计算的优点。在这个晶格表面求解反铁磁伊辛模型，以评估诸如自由能、能量密度和熵等热性质，从中我们成功识别出自发磁化之外的一级有序-无序转变，以及由考兹曼佯谬表明的过冷状态下的二级转变。
