Universal role of correlation entropy in critical phenomena

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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
刊名	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
	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
内容类型	期刊论文
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):-.