Boltzmann极限下非生长复杂网络中的凝聚
The condensation in non-growing complex networks under Boltzmann limit
摘要：
将Bianconi-Barabási（B-B）适应度模型推广到节点数和连接数固定的非增长复杂网络。结果发现，该模型的统计物理，使其在复杂网络的背景下玻尔兹曼统计的一个适当的表示。通过数值模拟说明了该扩展模型的相变过程，并确定了相应的“临界温度“$T_c$。我们注意到，$T > T_c$体系中的“非凝聚相”不同于B-B模型中的“富适相”（FGR），在给定温度下，连接度分布P（k）偏离幂律分布。
英文摘要：
We extend the Bianconi-Barabási (B-B) fitness model to the non-growing complex network with fixed number of nodes and links. It is found that the statistical physics of this model makes it an appropriate representation of the Boltzmann statistics in the context of complex networks. The phase transition of this extended model is illustrated with numerical simulation and the corresponding "critical temperature" $T_c$ is identified. We note that the "non-condensation phase" in $T > T_c$ regime is different with "fit-get-rich" (FGR) phase of B-B model and that the connectivity degree distribution P(k) deviates from power-law distribution at given temperatures.
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