基于移动代理间冲突的网络
Networks based on collisions among mobile agents
摘要：
我们详细研究了最近的碰撞移动代理模型[Phys. Rev. Lett.~ 96，088702]，作为一种替代方法来构建由适当的动力学规则管理的碰撞形成的相互作用的进化网络。移动代理的系统朝着一个准稳态，除了小的波动，以及其特征在于系统的密度和代理的停留时间的演变。停留时间定义了一个碰撞率，通过改变碰撞率，系统在临界值处膨胀，出现了一个巨大的集群，其临界指数是二维渗流的。此外，度和聚类系数分布和平均路径长度表明，与这样一个系统相关联的网络呈现出非平凡的功能，根据碰撞规则，使人们不仅能够恢复标准网络的主要属性，如指数，随机和无标度网络，但也获得其他拓扑结构。也就是说，我们展示了一个具体的例子，所获得的结构具有拓扑特征，准确地描述了社交网络的结构和演变在不同的背景下，从网络的熟人的性接触。
英文摘要：
We investigate in detail a recent model of colliding mobile agents [Phys. Rev. Lett.~96, 088702], used as an alternative approach to construct evolving networks of interactions formed by the collisions governed by suitable dynamical rules. The system of mobile agents evolves towards a quasi-stationary state which is, apart small fluctuations, well characterized by the density of the system and the residence time of the agents. The residence time defines a collision rate and by varying the collision rate, the system percolates at a critical value, with the emergence of a giant cluster whose critical exponents are the ones of two-dimensional percolation. Further, the degree and clustering coefficient distributions and the average path length show that the network associated with such a system presents non-trivial features which, depending on the collision rule, enables one not only to recover the main properties of standard networks, such as exponential, random and scale-free networks, but also to obtain other topological structures. Namely, we show a specific example where the obtained structure has topological features which characterize accurately the structure and evolution of social networks in different contexts, ranging from networks of acquaintances to networks of sexual contacts.
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