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摘要翻译：
我们研究了网络和粒子系统的耦合动力学。密度为rho的粒子沿边缘自由扩散，每个边缘以粒子通量递减函数给出的速率重新连接。我们发现耦合动力学导致了中心形成的不稳定性，并且在阈值粒子密度$\Rho_c$处存在动态相变。在低密度阶段，网络演化为星形，最大度随时间线性增长。在高密度阶段，网络呈现出肥尾度分布和有趣的动态标度行为。我们提出了一个解析理论来解释不稳定的机制，并提出了一个动力学标度行为的标度理论。
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英文标题：
《Instability in a Network Coevolving with a Particle System》
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作者：
Sang-Woo Kim and Jae Dong Noh (UOS)
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最新提交年份：
2007
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分类信息：
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 study a coupled dynamics of a network and a particle system. Particles of density $\rho$ diffuse freely along edges, each of which is rewired at a rate given by a decreasing function of particle flux. We find that the coupled dynamics leads to an instability toward the formation of hubs and that there is a dynamic phase transition at a threshold particle density $\rho_c$. In the low density phase, the network evolves into a star-shaped one with the maximum degree growing linearly in time. In the high density phase, the network exhibits a fat-tailed degree distribution and an interesting dynamic scaling behavior. We present an analytic theory explaining mechanism for the instability and a scaling theory for the dynamic scaling behavior.
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PDF链接：
https://arxiv.org/pdf/712.2374
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