| Exact Solution of Ferromagnetic Three-Dimensional (3D) Ising Model and Spontaneous Emerge of Time | |
| Zhang Zhidong | |
| Corresponding Author | Zhang Zhidong(zdzhang@imr.ac.cn) |
| 2023-04-11 | |
| Source Publication | ACTA METALLURGICA SINICA
 |
| ISSN | 0412-1961 |
| Volume | 59Issue:4Pages:489-501 |
| Abstract | 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. |
| Keyword | Ising model exact solution topological quantum statistic time many-body interaction |
| Funding Organization | National Natural Science Foundation of China |
| DOI | 10.11900/0412.1961.2022.00486 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[52031014] |
| WOS Research Area | Metallurgy & Metallurgical Engineering |
| WOS Subject | Metallurgy & Metallurgical Engineering |
| WOS ID | WOS:000980757300006 |
| Publisher | SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/177756 |
| Collection | 中国科学院金属研究所 |
| Corresponding Author | Zhang Zhidong |
| Affiliation | Chinese Acad Sci, Inst Met Res, Shenyang Natl Lab Mat Sci, Shenyang 110016, Peoples R China |
| Recommended Citation GB/T 7714 | Zhang Zhidong. Exact Solution of Ferromagnetic Three-Dimensional (3D) Ising Model and Spontaneous Emerge of Time[J]. ACTA METALLURGICA SINICA,2023,59(4):489-501. |
| APA | Zhang Zhidong.(2023).Exact Solution of Ferromagnetic Three-Dimensional (3D) Ising Model and Spontaneous Emerge of Time.ACTA METALLURGICA SINICA,59(4),489-501. |
| MLA | Zhang Zhidong."Exact Solution of Ferromagnetic Three-Dimensional (3D) Ising Model and Spontaneous Emerge of Time".ACTA METALLURGICA SINICA 59.4(2023):489-501. |
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