Mondal Debasish, Ghosh Pulak Kumar, Ray Deb Shankar
Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India.
J Chem Phys. 2009 Feb 21;130(7):074703. doi: 10.1063/1.3076934.
Several years ago Zwanzig considered the diffusion in a potential that is spatially rough due to hierarchical structure of protein. We extend this idea to the overdamped Brownian dynamics in a one-dimensional periodic and rough ratchet potential. A general expression is obtained for the effective current at the steady state. Variation in both current and efficiency has been studied with respect to the amplitude of the roughness and an external nonequilibrium, nonthermal driving force. It has been shown that roughness hinders current quite significantly. Our analysis is corroborated by detailed numerical simulations and may be useful in the context of laser switching of current through molecular wires.
几年前，兹万齐格考虑了因蛋白质的层次结构而在空间上粗糙的势场中的扩散。我们将这一想法扩展到一维周期性粗糙棘轮势场中的过阻尼布朗动力学。得到了稳态下有效电流的一般表达式。研究了电流和效率随粗糙度幅度以及外部非平衡、非热驱动力的变化。结果表明，粗糙度对电流有相当显著的阻碍作用。我们的分析得到了详细数值模拟的证实，并且在通过分子线进行电流的激光切换的背景下可能是有用的。
