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题名: T -> 0 mean-field population dynamics approach for the random 3-satisfiability problem
作者: Zhou, Haijun
刊名: PHYSICAL REVIEW E
出版日期: 2008
卷号: 77, 期号:6, 页码:-
关键词: K-SATISFIABILITY PROBLEM ;  COMPUTATIONAL-COMPLEXITY ;  CAVITY METHOD ;  PHASE ;  ENTROPY ;  STATES
学科分类: Physics
通讯作者: Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
部门归属: Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: During the past decade, phase-transition phenomena in the random 3-satisfiability (3-SAT) problem has been intensively studied by statistical physics methods. In this work, we study the random 3-SAT problem by the mean-field first-step replica-symmetry-broken cavity theory at the limit of temperature T -> 0. The reweighting parameter y of the cavity theory is allowed to approach infinity together with the inverse temperature beta with fixed ratio r=y/beta. Focusing on the system's space of satisfiable configurations, we carry out extensive population dynamics simulations using the technique of importance sampling, and we obtain the entropy density s(r) and complexity Sigma(r) of zero-energy clusters at different r values. We demonstrate that the population dynamics may reach different fixed points with different types of initial conditions. By knowing the trends of s(r) and Sigma(r) with r, we can judge whether a certain type of initial condition is appropriate at a given r value. This work complements and confirms the results of several other very recent theoretical studies.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000257287600009
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5524
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. T -> 0 mean-field population dynamics approach for the random 3-satisfiability problem[J]. PHYSICAL REVIEW E,2008,77(6):-.
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