论文标题

两种不友好物种的植入:两种种类的维克斯克模型

Flocking of two unfriendly species: The two-species Vicsek model

论文作者

Chatterjee, Swarnajit, Mangeat, Matthieu, Woo, Chul-Ung, Rieger, Heiko, Noh, Jae Dong

论文摘要

我们考虑了由两种自我螺旋体颗粒A和B组成的两种vicsek模型(TSVM),它们倾向于与来自同一物种的颗粒并与另一个物种相一致。该模型显示了一个让人联想到原始Vicsek模型的植入过渡:它具有液态气相变,并在共存区域显示微相分离,其中多重致密的液体带在气态背景中传播。 TSVM的有趣特征是存在两种频带,一种主要由A颗粒和一个主要的B颗粒组成,在共存区域中出现了两个动态状态:PF(平行羊群)状态,其中两个物种的所有频段在相同的方向上繁殖,以及Apf(Antipar(Antipar)的群体和band band a and a and a and a and a and a and a and a and a and a and a and a and a and a and a and a and a and a and a and a。当PF和APF状态存在于共存区域的低密度部分中时,它们会执行从一个到另一个的随机转变。过渡频率和居住时间的系统大小依赖性显示出明显的交叉,该交叉由频带宽度和纵向系统大小的比率确定。我们的工作铺平了研究与异构比对相互作用的多种种群植入模型的道路。

We consider the two-species Vicsek model (TSVM) consisting of two kinds of self-propelled particles, A and B, that tend to align with particles from the same species and to antialign with the other. The model shows a flocking transition that is reminiscent of the original Vicsek model: it has a liquid-gas phase transition and displays micro-phase-separation in the coexistence region where multiple dense liquid bands propagate in a gaseous background. The interesting features of the TSVM are the existence of two kinds of bands, one composed of mainly A particles and one mainly of B particles, the appearance of two dynamical states in the coexistence region: the PF (parallel flocking) state in which all bands of the two species propagate in the same direction, and the APF (antiparallel flocking) state in which the bands of species A and species B move in opposite directions. When PF and APF states exist in the low-density part of the coexistence region they perform stochastic transitions from one to the other. The system size dependence of the transition frequency and dwell times show a pronounced crossover that is determined by the ratio of the band width and the longitudinal system size. Our work paves the way for studying multispecies flocking models with heterogeneous alignment interactions.

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