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Long-range frustration in T=0 first-step replica-symmetry-broken solutions of finite-connectivity spin glasses
Zhou, Jie; Ma, Hui; Zhou, Haijun; Zhou, J , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
2007
发表期刊JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
ISSN1742-5468
期号1页码:-
摘要In a finite-connectivity spin glass at the zero-temperature limit, long-range correlations exist among the unfrozen vertices (whose spin values are non-fixed). Such long-range frustrations are partially removed through the first-step replica-symmetry-broken (1RSB) cavity theory, but residual long-range frustrations may still persist in this mean-field solution. By way of population dynamics, here we perform a perturbation-percolation analysis to calculate the magnitude of long-range frustrations in the 1RSB solution of a given spin-glass system. We study two well-studied model systems, the minimal vertex-cover problem and the maximal 2-satisfiability problem. This work points to a possible way of improving the zero-temperature 1RSB mean-field theory of spin glasses.
部门归属Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Vertex-cover Problem Satisfiability Problems Cavity Method Temperature Phase
学科领域Physics
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收录类别SCI
WOS记录号WOS:000247963900001
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5729
专题理论物理所1978-2010年知识产出
通讯作者Zhou, J , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
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GB/T 7714
Zhou, Jie,Ma, Hui,Zhou, Haijun,et al. Long-range frustration in T=0 first-step replica-symmetry-broken solutions of finite-connectivity spin glasses[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2007(1):-.
APA Zhou, Jie,Ma, Hui,Zhou, Haijun,&Zhou, J , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China.(2007).Long-range frustration in T=0 first-step replica-symmetry-broken solutions of finite-connectivity spin glasses.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT(1),-.
MLA Zhou, Jie,et al."Long-range frustration in T=0 first-step replica-symmetry-broken solutions of finite-connectivity spin glasses".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT .1(2007):-.
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