Insights from single-file diffusion into cooperativity in higher dimensions
Insights from single-file diffusion into cooperativity in higher dimensions
复制标题
从单文件扩散到更高维度协作的见解
DOI：
10.1142/s1793048015400019
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
T Matsumoto & M Otsuki
中科院分区：
文献类型：
--
作者：
T Ooshida;S Goto;T Matsumoto & M Otsuki
Diffusion in colloidal suspensions can be very slow due to the cage effect, which confines each particle within a short radius on one hand, and involves large-scale cooperative motions on the other. In search of insight into this cooperativity, here the authors develop a formalism to calculate the displacement correlation in colloidal systems, mainly in the two-dimensional (2D) case. To clarify the idea for it, studies are reviewed on cooperativity among the particles in the one-dimensional (1D) case, i.e. the single-file diffusion (SFD). As an improvement over the celebrated formula by Alexander and Pincus on the mean-square displacement (MSD) in SFD, it is shown that the displacement correlation in SFD can be calculated from Lagrangian correlation of the particle interval in the one-dimensional case, and also that the formula can be extended to higher dimensions. The improved formula becomes exact for large systems. By combining the formula with a nonlinear theory for correlation, a correction to the asymptotic law for the MSD in SFD is obtained. In the 2D case, the linear theory gives description of vortical cooperative motion.
