纳米孔中影响悬浮及标度律的机制：振荡器模型理论

Mechanisms influencing levitation and the scaling laws in nanopores: oscillator model theory.

作者信息

Kumar A V Anil, Bhatia Suresh K

机构信息

Division of Chemical Engineering, The University of Queensland, Brisbane, Queensland 4072, Australia.

出版信息

J Phys Chem B. 2006 Feb 23;110(7):3109-13. doi: 10.1021/jp056670e.

DOI:10.1021/jp056670e

PMID:16494316

Abstract

We provide here a detailed theoretical explanation of the floating molecule or levitation effect, for molecules diffusing through nanopores, using the oscillator model theory (Phys. Rev. Lett. 2003, 91, 126102) recently developed in this laboratory. It is shown that on reduction of pore size the effect occurs due to decrease in frequency of wall collision of diffusing particles at a critical pore size. This effect is, however, absent at high temperatures where the ratio of kinetic energy to the solid-fluid interaction strength is sufficiently large. It is shown that the transport diffusivities scale with this ratio. Scaling of transport diffusivities with respect to mass is also observed, even in the presence of interactions.

摘要

我们在此利用本实验室最近开发的振荡器模型理论（《物理评论快报》，2003年，第91卷，第126102页），对分子通过纳米孔扩散时的漂浮分子或悬浮效应给出详细的理论解释。结果表明，在孔径减小到临界孔径时，由于扩散粒子与孔壁碰撞频率降低，会出现这种效应。然而，在高温下，当动能与固液相互作用强度之比足够大时，这种效应不存在。结果表明，输运扩散系数与该比值成比例。即使存在相互作用，也观察到输运扩散系数相对于质量的比例关系。