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题名: Ground-state configuration space heterogeneity of random finite-connectivity spin glasses and random constraint satisfaction problems
作者: Zhou, Haijun ;  Wang, Chuang
刊名: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
出版日期: 2010
期号: 10, 页码:-
关键词: K-SATISFIABILITY PROBLEM ;  MEAN-FIELD ;  TRANSITION ;  MODELS
学科分类: Physics
通讯作者: Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
部门归属: [Zhou, HJ; Wang, CA] Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China; [Zhou, HJ] Chinese Acad Sci, Kavli Inst Theoret Phys China KITPC, Beijing 100190, Peoples R China; [Wang, CA] NE Normal Univ, Sch Phys, Changchun 130024, Peoples R China
英文摘要: We demonstrate through two case studies, one on the p-spin interaction model and the other on the random K-satisfiability problem, that a heterogeneity transition occurs to the ground-state configuration space of a random finite-connectivity spin glass system at a certain critical value of the constraint density. At the transition point, exponentially many configuration communities emerge from the ground-state configuration space, making the entropy density s(q) of configuration-pairs a non-concave function of the configuration-pair overlap q. Each configuration community is a collection of relatively similar configurations and it forms a stable thermodynamic phase in the presence of a suitable external field. We calculate s(q) by the replicasymmetric and the first-step replica-symmetry-broken cavity methods, and show by simulations that the configuration space heterogeneity leads to dynamical heterogeneity of particle diffusion processes because of the entropic trapping effect of configuration communities. This work clarifies the fine structure of the ground-state configuration space of random spin glass models, it also sheds light on the glassy behavior of hard-sphere colloidal systems at relatively high particle volume fractions.
资助者: National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903]
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000286466100010
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5033
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Zhou, Haijun,Wang, Chuang. Ground-state configuration space heterogeneity of random finite-connectivity spin glasses and random constraint satisfaction problems[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2010(10):-.
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