铁磁性三维Ising模型精确解及时间的自发产生
收稿日期: 2022-10-08
修回日期: 2022-12-30
网络出版日期: 2023-01-11
基金资助
国家自然科学基金项目(52031014)
Exact Solution of Ferromagnetic Three-Dimensional (3D) Ising Model and Spontaneous Emerge of Time
Received date: 2022-10-08
Revised date: 2022-12-30
Online published: 2023-01-11
Supported by
National Natural Science Foundation of China(52031014)
张志东 . 铁磁性三维Ising模型精确解及时间的自发产生[J]. 金属学报, 2023 , 59(4) : 489 -501 . DOI: 10.11900/0412.1961.2022.00486
This article reviews recent advances in the exact solution of ferromagnetic three-dimensional (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.
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