雪堆博弈诱导自推进粒子系统的斑图形成
Snowdrift game induces pattern formation in systems of self-propelled particles
摘要：
物种之间的进化博弈导致了扩散剂系统中有趣的时空模式。然而，物种间的相互作用的作用几乎没有研究时，代理人（自）推进，是在许多生物系统的情况下。在这里，我们结合方面从活性物质和进化博弈论和研究系统的两个物种的个人是（自）推进和相互作用，通过雪堆游戏。我们推导出流体动力学方程的密度和速度场的两个物种，从中我们确定参数制度，其中一个或两个物种形成宏观取向秩序以及制度的传播波图案。有趣的是，我们在两个物种中发现了同时发生的波型，这是由对齐和雪堆相互作用之间的相互作用引起的--我们称之为游戏诱导的斑图形成的反馈机制。我们测试这些结果在基于代理的模拟，并确认不同的制度秩序和时空模式，以及游戏诱导的斑图形成。
英文摘要：
Evolutionary games between species are known to lead to intriguing spatio-temporal patterns in systems of diffusing agent. However, the role of inter-species interactions is hardly studied when agents are (self-)propelled, as is the case in many biological systems. Here, we combine aspects from active-matter and evolutionary game theory and study a system of two species whose individuals are (self-)propelled and interact through a snowdrift game. We derive hydrodynamic equations for the density and velocity fields of both species from which we identify parameter regimes in which one or both species form macroscopic orientational order as well as regimes of propagating wave patterns. Interestingly, we find simultaneous wave patterns in both species that result from the interplay between alignment and snowdrift interactions - a feedback mechanism that we call game-induced pattern formation. We test these results in agent-based simulations and confirm the different regimes of order and spatio-temporal patterns as well as game-induced pattern formation.
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