Universal role of correlation entropy in critical phenomena
文献类型：期刊论文
| 作者 | Gu, Shi-Jian; Sun, Chang-Pu ; Lin, Hai-Qing; Gu, SJ , Chinese Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China
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| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
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| 出版日期 | 2008 |
| 卷号 | 41期号:2页码:- |
| 关键词 | Statistical-mechanics Mathematical-theory Xy-model Quantum Renormalization Communication Entanglement Transition Order |
| ISSN号 | 1751-8113 |
| 英文摘要 | In statistical physics, if we divide successively an equilibrium system into two parts, we will face a situation that, to a certain length., the physics of a subsystem is no longer the same as the original one. The extensive property of the thermal entropy S(A boolean OR B) = S(A) + S(B) is then violated. This observation motivates us to introduce a concept of correlation entropy between two points, as measured by the mutual information in information theory, to study the critical phenomena. A rigorous relation is established to display some drastic features of the non-vanishing correlation entropy of a subsystem formed by any two distant particles with long-range correlation. This relation actually indicates a universal role played by the correlation entropy for understanding the critical phenomena. We also verify these analytical studies in terms of two well-studied models for both the thermal and quantum phase transitions: the two-dimensional Ising model and the one-dimensional transverse-field Ising model. Therefore, the correlation entropy provides us with a new physical intuition of the critical phenomena from the point of view of information theory. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000252911500004 |
| 公开日期 | 2012-08-02 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/5592]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Gu, SJ , Chinese Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gu, Shi-Jian,Sun, Chang-Pu,Lin, Hai-Qing,et al. Universal role of correlation entropy in critical phenomena[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2008,41(2):-. |
| APA | Gu, Shi-Jian,Sun, Chang-Pu,Lin, Hai-Qing,&Gu, SJ , Chinese Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China.(2008).Universal role of correlation entropy in critical phenomena.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,41(2),-. |
| MLA | Gu, Shi-Jian,et al."Universal role of correlation entropy in critical phenomena".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41.2(2008):-. |
入库方式： OAI收割
来源：理论物理研究所
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