Overdamped Brownian motion in periodic symmetric potentials
Overdamped Brownian motion in periodic symmetric potentials
复制标题
周期性对称势中的过阻尼布朗运动
DOI：
10.1063/1.1322360
复制
发表时间：
2000
影响因子：
4.4
通讯作者：
D. Heyes
中科院分区：
文献类型：
--
作者：
A. Brańka;A. Das;D. Heyes
The dynamics of an overdamped Brownian particle in the field of a one-dimensional symmetric periodic potential U(x;α) have been studied by numerical solution of the Smoluchowski diffusion equation and the Langevin equation using the Brownian Dynamics method. The parameter α controls the shape and height of the potential barrier, which ranges from a sinusoidal spatial dependence for low barrier heights (α small) to a near delta-function appearance for barrier heights tending to infinity (α very large). Both the mean square displacement (MSD) dα(t), and the probability density n(x,t|x0), where x0 denotes the initial position, have been calculated. The MSD over a wide time domain has been obtained for a number of values of α. The exact asymptotic (t→∞) form of the diffusion coefficient has been exploited to obtain an accurate representation for dα(t) at long times. The function, dα(t) changes its form in the range α=8–10, with the appearance of a “plateau” which signals a transition in the particle’s Brownia...
影响因子：
2.4
作者：
Bier, M;Derényi, I;Astumian, RD
通讯作者：
Astumian, RD