玻尔兹曼极限下非增长复杂网络中的凝聚

讨论了复杂网络中几种不同的凝聚现象.分析了具有固定结点数和固定连边数的非增长适应度模型中的临界现象.解析研究的结果表明这一模型展示出了凝聚相变的现象.同时用数值方法模拟了该模型在玻尔兹曼极限下的临界行为,发现其非凝聚相与增长适应度模型中的非凝聚相有显著差异,而对应的临界温度和度分布也被确定下来.

The condensation of non-growing complex networks in Boltzmann limit

We first discuss some different condensation phenomenon in complex networks.Then we analyze the critical phenomenon of the non-growing Bianconi-Barabsi (B-B) fitness model with fixed number of nodes and links.The analytical studies show that this model displays a condensate-non-condensate phase transition.We numerically simulate its critical behavior in the Boltzmann limit,and find that the non-condensation phase is significantly different from that of the growing B-B model.The corresponding critical temperature T_c and degree distribution P(k) are identified.