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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
Source PublicationJOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
KeywordK-satisfiability Problem Mean-field Transition Models
AbstractWe 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.
2010
ISSN1742-5468
Issue10Pages:-
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational 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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Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5033
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
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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