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摘要翻译：
我们应用一种新的方法（在第一部分中介绍）来求解几个小世界模型：Viana-Bray模型（可以看作是0维或无限维的小世界模型）、一维链式小世界模型和一般维的小世界球面模型。特别地，我们详细分析了具有负短程耦合的一维链状小世界模型，表明在这种情况下，除了一个二级自旋玻璃相变之外，还有两个临界温度对应于一级或二级相变。
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英文标题：
《Exact results and new insights for models defined over small world
networks. First and second order phase transitions. II: Applications》
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作者：
M. Ostilli, J. F. F. Mendes
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Disordered Systems and Neural Networks 无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We apply a novel method (presented in part I) to solve several small-world models for which the method can be applied analytically: the Viana-Bray model (which can be seen as a 0 or infinite dimensional small-world model), the one-dimensional chain small-world model, and the small-world spherical model in generic dimension. In particular, we analyze in detail the one-dimensional chain small-world model with negative short-range coupling showing that in this case, besides a second-order spin glass phase transition, there are two critical temperatures corresponding to first- or second-order phase transitions.
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PDF链接：
https://arxiv.org/pdf/801.3563
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