Ryabov Artem, Chvosta Petr
Department of Macromolecular Physics, Faculty of Mathematics and Physics, Charles University in Prague, V Holešovičkách 2, 18000 Praha 8, Czech Republic.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Feb;89(2):022132. doi: 10.1103/PhysRevE.89.022132. Epub 2014 Feb 24.
The paper addresses the single-file diffusion in the presence of an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The resulting dynamics exhibits several qualitatively new features. First, starting with the exact probability density function for a given particle (a tracer), we study the long-time asymptotics of its moments. Both the mean position and the mean-square displacement are controlled by dynamical exponents which depend on the initial order of the particle in the file. Second, conditioning on nonabsorption, we study the distribution of long-living particles. In the conditioned framework, the dynamical exponents are the same for all particles, however, a given particle possesses an effective diffusion coefficient which depends on its initial order. After performing the thermodynamic limit, the conditioned dynamics of the tracer is subdiffusive, the generalized diffusion coefficient D(1/2) being different from that reported for the system without absorbing boundary.
本文探讨了存在吸收边界时的单文件扩散问题。重点在于硬核粒子间相互作用与吸收过程之间的相互作用。由此产生的动力学表现出几个定性的新特征。首先，从给定粒子（示踪剂）的精确概率密度函数出发，我们研究其矩的长时间渐近性。平均位置和均方位移均由动力学指数控制，这些指数取决于文件中粒子的初始顺序。其次，在不被吸收的条件下，我们研究长寿粒子的分布。在条件框架中，所有粒子的动力学指数相同，然而，给定粒子具有一个取决于其初始顺序的有效扩散系数。在进行热力学极限后，示踪剂的条件动力学是亚扩散的，广义扩散系数D(1/2)与无吸收边界系统所报道的不同。
