论文标题
在资源梯度底物上堵塞过渡附近的颗粒的图案形成和羊群
Pattern Formation and Flocking for Particles Near the Jamming Transition on Resource Gradient Substrates
论文作者
论文摘要
我们在数值上检查了与资源底物耦合的活动和被动颗粒的竞标系统。活性颗粒以固定速率耗尽资源,并以较高的资源向区域移动,而所有颗粒彼此之间相互作用。我们表明,在高密度下,该系统表现出丰富的模式形成阶段,以及定向运动或羊群作为资源吸收和消耗的相对速率以及活性与被动颗粒比的函数。其中包括部分相分离到流过被动簇的活性颗粒的河流中,强烈的相分离状态,在该状态下,活性颗粒诱导被动颗粒的结晶,混合堵塞状态和波动的混合流体阶段。对于较高的资源回收率,我们证明了活动粒子可以进行运动引起的相位分离,而在高密度下,可以只有一个连贯的羊群,仅包含活性颗粒或活性和被动颗粒的实心混合物。定向的羊群运动通常显示出一个瞬态,其中流动在变为一个方向之前在不同方向之间开关,并且在不发生羊群的临界密度下有一个临界密度。我们将不同的阶段绘制为系统密度的功能,资源吸收和恢复速率以及活动与被动颗粒的比率。
We numerically examine a bidisperse system of active and passive particles coupled to a resource substrate. The active particles deplete the resource at a fixed rate and move toward regions with higher resources, while all of the particles interact sterically with each other. We show that at high densities, this system exhibits a rich variety of pattern forming phases along with directed motion or flocking as a function of the relative rates of resource absorption and consumption as well as the active to passive particle ratio. These include partial phase separation into rivers of active particles flowing through passive clusters, strongly phase separated states where the active particles induce crystallization of the passive particles, mixed jammed states, and fluctuating mixed fluid phases. For higher resource recovery rates, we demonstrate that the active particles can undergo motility induced phase separation, while at high densities, there can be a coherent flock containing only active particles or a solid mixture of active and passive particles. The directed flocking motion typically shows a transient in which the flow switches among different directions before settling into one direction, and there is a critical density below which flocking does not occur. We map out the different phases as function of system density, resource absorption and recovery rates,and the ratio of active to passive particles.