T -> 0 mean-field population dynamics approach for the random 3-satisfiability problem

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	T -> 0 mean-field population dynamics approach for the random 3-satisfiability problem
	Zhou, Haijun; Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
刊名	PHYSICAL REVIEW E
	2008
卷号	77 期号:6 页码:-
关键词	K-satisfiability Problem Computational-complexity Cavity Method Phase Entropy States
ISSN号	1539-3755
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.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000257287600009
公开日期	2012-08-02
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/5524]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Haijun,Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China. T -> 0 mean-field population dynamics approach for the random 3-satisfiability problem[J]. PHYSICAL REVIEW E,2008,77(6):-.
APA	Zhou, Haijun,&Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China.(2008).T -> 0 mean-field population dynamics approach for the random 3-satisfiability problem.PHYSICAL REVIEW E,77(6),-.
MLA	Zhou, Haijun,et al."T -> 0 mean-field population dynamics approach for the random 3-satisfiability problem".PHYSICAL REVIEW E 77.6(2008):-.