The emergent cooperative behavior of mobile physical entities exchanging information with their neighborhood has become an important problem across disciplines, thus requiring a general framework to describe such a variety of situations. We introduce a generic model to tackle this problem by considering the synchronization in time-evolving networks generated by the stochastic motion of self-propelled physical interacting units. This framework generalizes previous approaches and brings a unified picture to understand the role played by the network topology, the motion of the agents, and their mutual interaction. This allows us to identify different dynamic regimes where synchronization can be understood from theoretical considerations. While for noninteracting particles, self-propulsion accelerates synchronization, the presence of excluded volume interactions gives rise to a richer scenario, where self-propulsion has a nonmonotonic impact on synchronization. We show that the synchronization of locally coupled mobile oscillators generically proceeds through coarsening, verifying the dynamic scaling hypothesis, with the same scaling laws as the 2D X Y model following a quench. Our results shed light into the generic nature of synchronization in time-dependent networks, providing an efficient way to understand more specific situations involving interacting mobile agents.
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机译：移动物理实体与其社区交换信息的紧急合作行为已成为跨学科的重要问题，从而需要一般框架来描述这种各种情况。我们通过考虑由自推进物理交互单元的随机运动产生的时间不断发展的网络同步来介绍一般模型来解决这个问题。该框架概括了以前的方法，并带来了统一的图片，以了解网络拓扑，代理运动和它们的相互作用所扮演的作用。这允许我们识别不同的动态制度，其中可以从理论考虑中理解同步。虽然对于非交互颗粒，自推进过程加速同步，但排除的体积相互作用的存在产生了更丰富的情况，其中自推进具有对同步的非单调的影响。我们表明本地耦合的移动振荡器的同步通过粗化，验证动态缩放假设，与淬火后的2D X Y模型相同的缩放规律。我们的结果阐明了在时间依赖网络中同步的通用性质，提供了理解涉及互动移动代理的更具体情况的有效方法。
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