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Ground-state configuration space heterogeneity of random finite-connectivity spin glasses and random constraint satisfaction problems
Zhou, Haijun; Wang, Chuang; Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
2010
发表期刊JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
ISSN1742-5468
期号10页码:-
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.
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
关键词K-satisfiability Problem Mean-field Transition Models
学科领域Physics
资助者National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903]
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收录类别SCI
资助者National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903]
WOS记录号WOS:000286466100010
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5033
专题理论物理所SCI论文
通讯作者Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
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GB/T 7714
Zhou, Haijun,Wang, Chuang,Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China. 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):-.
APA Zhou, Haijun,Wang, Chuang,&Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China.(2010).Ground-state configuration space heterogeneity of random finite-connectivity spin glasses and random constraint satisfaction problems.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT(10),-.
MLA Zhou, Haijun,et al."Ground-state configuration space heterogeneity of random finite-connectivity spin glasses and random constraint satisfaction problems".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT .10(2010):-.
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