标题： 活性物质同步与协同作用 显示英文标题

标题： Active matter synchronization and synergetics

摘要： 我们研究了一种活性物质的随机基于代理的模型中的集体行为。 在能量充分供应的情况下，代理生成两种商品$x$,$y$，它们遵循广义的Lotka-Volterra动力学。 对于孤立的代理，生产要么达到固定点，要么发散。 然而，通过$x$的平均场耦合代理的生产，如果代理在$x$的生产中合作，可能会导致同步振荡。 $y$的生产通过抑制波动和缓解代理之间的竞争来支持同步动力学的出现，从而稳定$x$的生产。 我们发现，在同步状态下，不同的代理群体共存，每个群体遵循自己的极限环。 组内的Kuramoto序参数较大，而组间的较小。 集体状态对来自暂时在合作与竞争之间切换的代理的冲击具有稳定性。 模型动力学说明了协同作用的原则，即在临界能量供应和合作相互作用下秩序的自发出现。 显示英文摘要

摘要： We study the collective behavior in a stochastic agent-based model of active matter. Provided a critical take-up of energy, agents produce two types of goods $x$, $y$ that follow a generalized Lotka-Volterra dynamics. For isolated agents, production would either reach a fixed point or diverge. Coupling agents' production via a mean field of $x$, however, can lead to synchronized oscillations if agents cooperate in the production of $x$. The production of $y$ supports the emergence of the synchronized dynamics by suppressing fluctuations and mitigating competition between agents, this way stabilizing the production of $x$. We find that in the synchronized state different groups of agents coexist, each following their own limit cycle. The Kuramoto order parameter is large within groups, and small across groups. The collective state is stable against shocks from agents temporarily switching between cooperation and competition. The model dynamics illustrates the principles of synergetics, i.e., the spontaneous emergence of order given a critical energy supply and cooperative interactions.