First-passage-driven boundary recession
First-passage-driven boundary recession
复制标题
首次传代驱动的边界衰退
DOI：
10.1088/1751-8121/ac802f
复制
发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Redner, S
中科院分区：
文献类型：
--
作者：
De Bruyne, B;Randon-Furling, J;Redner, S
本文研究了半无限直线上布朗粒子的移动边界问题，其中边界移动的距离与粒子与边界连续碰撞之间的时间成正比。现象学上丰富的动力学出现了。特别地，粒子第n次首先到达移动边界的概率渐近地缩放为
We investigate a moving boundary problem for a Brownian particle on the semi-infinite line in which the boundary moves by a distance proportional to the time between successive collisions of the particle and the boundary. Phenomenologically rich dynamics arises. In particular, the probability for the particle to first reach the moving boundary for the nth time asymptotically scales as