精确的结果和新的见解，模型定义在小世界网络。一阶和二阶相变。II：应用
Exact results and new insights for models defined over small world networks. First and second order phase transitions. II: Applications
摘要：
我们应用一种新的方法（在第一部分中提出）来解决几个小世界模型，该方法可以应用于分析：Viana-Bray模型（可以被视为0或无限维的小世界模型），一维链小世界模型，和小世界球模型在通用尺寸。特别是，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，除了二阶自旋玻璃相变外，还有两个临界温度对应于一阶或二阶相变。
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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