| Computational complexity of spin-glass three-dimensional(3D)Ising model | |
| Alternative Title | Computational complexity of spin-glass three-dimensional (3D) Ising model |
| Zhidong Zhang | |
| 2020 | |
| Source Publication | 材料科学技术:英文版
 |
| ISSN | 1005-0302 |
| Volume | 44.0Issue:009Pages:116-120 |
| Abstract | In this work,the computational complexity of a spin-glass three-dimensional(3D)Ising model(for the lattice sizeN=lmn,wherel,m,n are thenumbersof lattice points along three crystallographic directions)is studied.We prove that an absolute minimum core(AMC)model consisting of a spin-glass 2D Ising model interacting with its nearest neighboring plane,has its computational complexity O(2mn).Any algorithms to make the model smaller(or simpler)than the AMC model will cut the basic element of the spin-glass 3D Ising model and lost many important information of the original model.Therefore,the computational complexity of the spin-glass 3D Ising model cannot be reduced to be less than O(2mn)by any algorithms,which is in subexponential time,superpolynomial. |
| Keyword | 3D Ising model Spin-glass Computational complexity |
| Indexed By | CSCD |
| Language | 中文 |
| Funding Project | [National Natural Science Foundation of China] ; [State Key Project of Research and Development of of China] |
| CSCD ID | CSCD:6722409 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/153984 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 中国科学院金属研究所 |
| Recommended Citation GB/T 7714 | Zhidong Zhang. Computational complexity of spin-glass three-dimensional(3D)Ising model[J]. 材料科学技术:英文版,2020,44.0(009):116-120. |
| APA | Zhidong Zhang.(2020).Computational complexity of spin-glass three-dimensional(3D)Ising model.材料科学技术:英文版,44.0(009),116-120. |
| MLA | Zhidong Zhang."Computational complexity of spin-glass three-dimensional(3D)Ising model".材料科学技术:英文版 44.0.009(2020):116-120. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment