论文标题
限制一维游泳者
Confined run-and-tumble swimmers in one dimension
论文作者
论文摘要
活性颗粒运动的持续特征会导致边界的积累。我调查了限制在带有硬墙的1D盒子中的跑步游泳者的问题,报告了颗粒概率分布和墙压力的表达式。发现跨界框长度值在此下面的压力的初始值比渐近线的初始值高,表明游泳者的主动“波浪”的弹跳效应。还使用两个不同的颗粒颗粒和壁上的颗粒速率研究了吸引和排斥边界的情况。最终通过考虑部分可渗透的墙壁可以通过颗粒离开盒子来分析逃生问题。
The persistent character of the motion of active particles gives rise to accumulation at boundaries. I investigate the problem of run-and-tumble swimmers confined in a 1D box with hard walls, reporting expressions for the particles probability distribution and wall pressure. A crossover box length value is found below which the initial value of the pressure turns out to be higher than the asymptotic one, indicating a bounce effect of the active "wave" of swimmers. The case of attracting and repelling boundaries are also investigated using two different tumble rates for particles in the bulk and at walls. Escape problems are finally analyzed by considering partially permeable walls through which particles can leave the box.