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Universal role of correlation entropy in critical phenomena
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
发表期刊JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN1751-8113
卷号41期号:2页码:-
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.
部门归属[Gu, SJ; Sun, CP; Lin, HQ] Chinese Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China; [Gu, SJ; Sun, CP; Lin, HQ] Chinese Univ Hong Kong, Inst Theoret Phys, Hong Kong, Hong Kong, Peoples R China; [Sun, CP] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; [Sun, CP] Chinese Acad Sci, Interdisciplinary Ctr Theoret Studies, Beijing 100080, Peoples R China
关键词Statistical-mechanics Mathematical-theory Xy-model Quantum Renormalization Communication Entanglement Transition Order
学科领域Physics
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收录类别SCI
WOS记录号WOS:000252911500004
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被引频次:29[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5592
专题理论物理所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
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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):-.
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