隐藏结合位点对二维扩散粒子的捕获
Trapping of particles diffusing in two dimensions by a hidden binding site.
作者信息
Dagdug Leonardo, Berezhkovskii Alexander M, Zitserman Vladimir Yu, Bezrukov Sergey M
机构信息
Departamento de Fisica, Universidad Autonoma Metropolitana-Iztapalapa, 09340 Mexico City, Mexico.
Mathematical and Statistical Computing Laboratory, Office of Intramural Research, Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20819, USA.
出版信息
Phys Rev E. 2021 Jan;103(1-1):012135. doi: 10.1103/PhysRevE.103.012135.
We study trapping of particles diffusing in a two-dimensional rectangular chamber by a binding site located at the end of a rectangular sleeve. To reach the site a particle first has to enter the sleeve. After that it has two options: to come back to the chamber or to diffuse to the site where it is trapped. The main result of the present work is a simple expression for the mean particle lifetime as a function of its starting position and geometric parameters of the system. This expression is obtained by an approximate reduction of the initial two-dimensional problem to the effective one-dimensional one which can be solved with relative ease. Our analytical predictions are tested against the results obtained from Brownian dynamics simulations. The test shows excellent agreement between the two for a wide range of the geometric parameters of the system.
我们研究了位于矩形套筒末端的一个结合位点对在二维矩形腔室中扩散的粒子的捕获情况。为了到达该位点，粒子首先必须进入套筒。在此之后，它有两种选择：回到腔室或者扩散到被捕获的位点。本工作的主要成果是得到了一个关于平均粒子寿命的简单表达式，该表达式是粒子起始位置和系统几何参数的函数。这个表达式是通过将初始的二维问题近似简化为有效的一维问题而得到的，而这个一维问题相对容易求解。我们的分析预测与从布朗动力学模拟得到的结果进行了对比测试。测试表明，对于系统的广泛几何参数范围，两者之间具有极好的一致性。
Zotero 插件