摘要
本文综述在三维Ising模型精确解方面取得的研究进展。首先介绍作者构建的拓扑量子统计物理学,包括时间平均、Jordan-von Neumann-Wigner框架、拓扑结构对热力学性质的贡献等学术思想。然后介绍用Clifford代数方法和Riemann-Hilbert问题的方法证明作者提出的两个猜想,证明在两个猜想基础上推定的三维Ising精确解的正确性。在此基础上,探究了时间的本源,得出三维多体相互作用体系中粒子(自旋)间相互作用自发产生时间的结论。
This article reviews recent advances in the exact solution of ferromagnetic threedimensional(3D) Ising model.First,the topological quantum statistic mechanism was introduced,which includes the time average,Jordan-von Neumann-Wigner framework,and the contribution of topological structures to thermodynamic properties of the system.Then,the Clifford algebra approach and the method of the Riemann-Hilbert problem were introduced to prove Zhang's two conjectures for the exact solution of the ferromagnetic 3D Ising model.The proof process verifies the correctness of the Zhang's exact solution for the ferromagnetic 3D Ising model.Based on these progresses,the origin of time was investigated and driven to the conclusion that in 3D many-body interacting particle(or spin) systems,time emerges spontaneously from many-body interactions.
作者
张志东
ZHANG Zhidong(Shenyang National Laboratory for Materials Science,Institute of Metal Research,Chinese Academy of Sciences,Shenyang 110016,China)
出处
《金属学报》
SCIE
EI
CAS
CSCD
北大核心
2023年第4期489-501,共13页
Acta Metallurgica Sinica
基金
国家自然科学基金项目No.52031014。
