Ground-state configuration space heterogeneity of random finite-connectivity spin glasses and random constraint satisfaction problems
文献类型：期刊论文
| 作者 | Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China; Zhou, Haijun ; Wang, Chuang
|
| 刊名 | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
 |
| 出版日期 | 2010 |
| 期号 | 10页码:- |
| 关键词 | K-satisfiability Problem Mean-field Transition Models |
| ISSN号 | 1742-5468 |
| 英文摘要 | We 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. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000286466100010 |
| 公开日期 | 2012-08-02 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/5033]  |
| 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, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China,Zhou, Haijun,Wang, Chuang. 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, HJ , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China,Zhou, Haijun,&Wang, Chuang.(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, HJ , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China,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):-. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。