Diffusion Enhancement of Brownian Motors Revealed by a Solvable Model
Statistical Mechanics
2018-12-12 v1
Abstract
A solvable model is proposed and analyzed to reveal the mechanism underlying the diffusion enhancement recently reported for a model of molecular motors and predicted to be observed in the biological rotary motor -ATPase. It turns out that the diffusion enhancement for the present model can approximately described by a random walk in which the waiting time for a step to occur is exponentially distributed and it takes nonzero time to proceed forward by the step. It is shown that the diffusion coefficient of such a random walk can significantly be increased when the average waiting time is comparable to the average stepping time.
Keywords
Cite
@article{arxiv.1805.07870,
title = {Diffusion Enhancement of Brownian Motors Revealed by a Solvable Model},
author = {Ryo Kanada and Ryota Shinagawa and Kazuo Sasaki},
journal= {arXiv preprint arXiv:1805.07870},
year = {2018}
}
Comments
10 pages, 6 figures