Exact Solution of Ferromagnetic Three-Dimensional (3D) Ising Model and Spontaneous Emerge of Time

被引：0

作者：

Zhang Zhidong ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Met Res, Shenyang Natl Lab Mat Sci, Shenyang 110016, Peoples R China

来源：

ACTA METALLURGICA SINICA | 2023年 / 59卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Ising model; exact solution; topological quantum statistic; time; many-body interaction; RECENT CONJECTURED SOLUTION; QUANTUM-FIELD THEORY; CRYSTAL STATISTICS; CRITICAL EXPONENTS; ORDER-DISORDER; REJOINDER;

D O I：

10.11900/0412.1961.2022.00486

中图分类号：

TF [冶金工业];

学科分类号：

0806 ;

摘要：

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.

引用

页码：489 / 501

页数：13

共 48 条

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