具有一般边界条件的一维滚跑运动

Luca Angelani
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引用次数: 0

摘要

在一般边界条件存在的情况下,分析了一维有限域中滚转粒子的运动。这些描述了壁面上的积聚,在壁面上,粒子要么以给定的速率被吸收,要么以通常不同于整体的速率翻滚。这个公式使我们能够以统一的方式处理非常不同的边界条件(完全和部分吸收/反射,粘性,粘性-反应性和粘性-吸收边界),这些边界可以作为一般情况的适当限制来恢复。我们报告了对一般边界有效的平均退出时间的一般表达式,讨论了许多案例研究,从相等边界到更有趣的在域两端的不同边界条件的情况,得到了平均退出时间的非平凡表达式。
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One-dimensional run-and-tumble motions with generic boundary conditions
Abstract The motion of run-and-tumble particles in one-dimensional finite domains are analyzed in the presence of generic boundary conditions. These describe accumulation at walls, where particles can either be absorbed at a given rate, or tumble, with a rate that may be, in general, different from that in the bulk. This formulation allows us to treat in a unified way very different boundary conditions (fully and partially absorbing/reflecting, sticky, sticky-reactive and sticky-absorbing boundaries) which can be recovered as appropriate limits of the general case. We report the general expression of the mean exit time, valid for generic boundaries, discussing many case studies, from equal boundaries to more interesting cases of different boundary conditions at the two ends of the domain, resulting in nontrivial expressions of mean exit times.
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