社会动力学中的大众媒体竞争与替代有序化
Mass media competition and alternative ordering in social dynamics
AI总结：
本文通过外场竞争模型研究社会主体在两种或多种大众媒体影响下的集体行为，揭示弱媒体主导多数及系统自发形成替代有序态的条件，并指出长程相互作用是关键。
摘要：
我们研究了一个社会主体系统的集体行为，该系统受到两种被视为外场的大众媒体影响之间的竞争。我们考察在何种条件下，两种强度不同的大众媒体中的任意一种能够将其信息强加给多数人。除了由较强大众媒体主导的集体态和无序相之外，我们还刻画了随系统参数变化而出现的两种非平凡效应：（i）出现一个共享较弱大众媒体状态的多数群体，以及（ii）在不同于任一媒体状态的状态中涌现出替代有序化。我们探究了这两种现象对相互作用网络拓扑的依赖性。结果表明，对于这两种效应的发生而言，长程相互作用的存在而非随机连接是必不可少的。该模型可以扩展以包含多种大众媒体，我们通过考虑作用于系统的三个大众媒体场对此进行了说明。在某些参数范围内，非平凡集体行为仍然存在：最弱的大众媒体能够说服多数人，而且系统可以自发地形成与所有施加场相反的有序态。
英文摘要：
We investigate the collective behavior of a system of social agents subject to the competition between two mass media influences considered as external fields. We study under what conditions either of two mass media with different intensities can impose its message to the majority. In addition to a collective state dominated by the stronger mass media and a disordered phase, we characterize two nontrivial effects as the parameters of the system are varied: (i) the appearance of a majority sharing the state of the weaker mass media, and (ii) the emergence of an alternative ordering in a state different from those of either media. We explore the dependence of both phenomena on the topology of the network of interactions. We show that the presence of long-range interactions rather than random connections is essential for the occurrence of both effects. The model can be extended to include multiple mass media and we illustrate it by considering three mass media fields acting on the system. Nontrivial collective behaviors persist for some ranges of parameters: the weakest mass media can convince the majority, and the system can spontaneously order against all applied fields.
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