论文标题
Husimi晶格上具有幻影交联网络的Ising抗铁磁铁的热力学
Thermodynamics of Ising Antiferromagnets with Phantom Cross-link Network on Husimi Lattice
论文作者
论文摘要
将二阶交联网络应用于经典的Husimi晶格,以首次研究中近距离和远距离的“幻影”非孔子相互作用的作用。由于在Husimi晶格上的抗磁性ISING模型已得到了精确的解决并成功地呈现了熔融和玻璃过渡,因此此处介绍了幻影交联网络(PCN),以了解小分子系统中玻璃状缺陷和长距离相互作用之间的关系,并且该概念从经典的橡胶网络理论(Flory,Flory,1985)中启发。递归i(净大小)的递归单位中的一个随机位点被选择链接到PCN。该解决方案仍处于正常的抗磁性ISING模型的方式,其预期挫败感以及净大小I。除了常规的居里过渡外,该玩具模型中还观察到了几种有趣的热力学,并且正如主要发现的那样,PCN清楚地将玻璃部分引入了系统,并通过较低的TC和较低的TC,既可以固定的入口处curve and ka uz curz car car car car carcy vishing system,并确定了PCN。
A second order cross-linked network is applied onto the classical Husimi lattice, to investigate the role of a "phantom" non-neighboring interactions of mid- and long-range in Bethe-like lattices for the first time. Since antiferromagnetic Ising model on Husimi lattice has been exactly solved and successfully presented the melting and glass transition, the Phantom Cross-link Network (PCN) is introduced here to understand the relationship between glassy defect and long-range interactions in small molecule systems, and the concept is inspired from the classical rubber network theory (Flory, 1985). One random site out of four on the recursive unites with certain distance I (the net size) is selected to be linked onto the PCN. The solutions are still in the fashion of normal antiferromagnetic Ising model, with expected frustrations along with the net size I. Beside the regular Curie transition, several interesting thermodynamics are observed in this toy model, and as the main found, PCN clearly introduces glassy portion into the system, identified by the supercooling behavior with lower TC, the metastable entropy curve and the Kauzmann paradox.