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Gu, Shi-Jian; Sun, Chang-Pu; Lin, Hai-Qing; Gu, SJ , Chinese Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China
Universal role of correlation entropy in critical phenomena
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
KeywordStatistical-mechanics Mathematical-theory Xy-model Quantum Renormalization Communication Entanglement Transition Order
AbstractIn 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.
2008
ISSN1751-8113
Volume41Issue:2Pages:-
Subject AreaPhysics
Indexed BySCI
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Cited Times:31[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5592
Collection理论物理所科研产出_SCI论文
Corresponding AuthorGu, SJ , Chinese Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China
Recommended Citation
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):-.
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