论文标题
通用ISING模型的精确矩阵模型
Exact matrix model for generalized Ising model
论文作者
论文摘要
ISING模型被推广到仅通过共享自旋的存在而仅通过共享的旋转相互作用的细胞系统。在单元格中，有任何复杂性的相互作用，最简单的内核相互作用归结为Ising模型。该系统不仅可以是一维，而且是二维，三维的。 本文的目的是开发一种方法，以最简单的方式为任何考虑的系统构建确切的矩阵模型。没有这些，几乎不可能分析复杂系统。在尝试了很多方法之后，该方法已被简化以适合第一年的学生。 使用该方法，构建了二维广义ISING模型的精确矩阵模型。 已经开发出以下方法来获得和分析分区函数和各种热力学功能。以下论文将考虑它们。
The Ising model was generalized to a system of cells interacting exclusively by presence of shared spins. Within the cells there are interactions of any complexity, the simplest intracell interactions come down to the Ising model. The system may be not only one-dimensional but also two-dimensional, three-dimensional, etc. The purpose of the paper is to develop an approach to constructing the exact matrix model for any considered system in the simplest way. Without this, it is almost impossible to analyze complex systems. After trying a lot of ways, the approach has been simplified to suit first year students. Using the approach, the exact matrix model for a two-dimensional generalized Ising model was constructed. The following approaches have already been developed to obtaining and analyzing partition function and various thermodynamic functions. They will be considered in following papers.
