T -> 0 mean-field population dynamics approach for the random 3-satisfiability problem
文献类型：期刊论文
| 作者 | Zhou, Haijun ; Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
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| 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 |
| 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 |
| 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):-. |
入库方式： OAI收割
来源：理论物理研究所
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