论文标题
局限于光盘的活动粒子的逃生问题
The escape problem for active particles confined to a disc
论文作者
论文摘要
我们研究了相互作用的，自螺旋体的颗粒局限于椎间盘的逃生问题，粒子可以在圆周上的一个开放插槽中退出。在最小的2D Vicsek模型中，我们从数值上研究了自propelled颗粒可以处于羊群状态时，逃生事件的统计数据。我们表明，虽然指数的生存概率始终是非相互作用自行粒子的特征，但相互作用的粒子具有初始指数期交叉到亚指数后期行为。我们提出了一个基于非平稳泊松过程的新现象学模型，其中包括解释这种亚指数趋势的效果，并对各种噪声强度进行数值模拟。
We study the escape problem for interacting, self-propelled particles confined to a disc, where particles can exit through one open slot on the circumference. Within a minimal 2D Vicsek model, we numerically study the statistics of escape events when the self-propelled particles can be in a flocking state. We show that while an exponential survival probability is characteristic for non-interaction self-propelled particles at all times, the interacting particles have an initial exponential phase crossing over to a sub-exponential late-time behavior. We propose a new phenomenological model based on non-stationary Poisson processes which includes the Allee effect to explain this sub-exponential trend and perform numerical simulations for various noise intensities.
