主节点网络模型的临界指数
Critical Exponents of Master-Node Network Model
摘要：
社会网络中意见竞争的动力学在社会生活中有着重要的作用，在共识、选举、道德等不同的社会背景下有着广泛的应用。我们考虑了一个一维网络中的第一个邻居之间的相互作用，形状的环形拓扑结构的代理。此外，一些代理还连接到具有优先选择或偏见的集线器或主节点。这样的连接被淬灭。作为主要结果，我们观察到一个连续的非平衡相变的吸收状态作为控制参数的函数。通过使用有限尺寸标度方法，我们分析了静态和动态临界指数，表明该模型可能无法匹配任何已知的普适类。
英文摘要：
The dynamics of competing opinions in social network play an important role in society, with many applications in diverse social contexts as consensus, elections, morality and so on. Here we study a model of interacting agents connected in networks to analyze their decision stochastic process. We consider a first-neighbor interaction between agents in a one-dimensional network with a shape of ring topology. Moreover, some agents are also connected to a hub, or master node, that has preferential choice or bias. Such connections are quenched. As the main results, we observed a continuous non-equilibrium phase transition to an absorbing state as a function of control parameters. By using the finite size scaling method, we analyzed the static and dynamic critical exponents to show that this model probably cannot match any universality class already known.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
