DIFFUSION PAST AN ENTROPY BARRIER

DIFFUSION PAST AN ENTROPY BARRIER
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DOI:
10.1021/j100189a004
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发表时间:
1992-05-14
影响因子:
--
通讯作者:
ZWANZIG, R
ZWANZIG, R
中科院分区:
其他
文献类型:
--
作者:
ZWANZIG, R

文献摘要

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Fick和Jacobs将变截面管或通道中的扩散视为通过由管横截面积或通道宽度确定的熵垒的一维扩散。Fick-Jacobs扩散方程重新推导,沿着与涉及管或通道的曲率的校正。通过与两个精确可解的例子比较,发现只要曲率不是太大,Fick-Jacobs方程是相当可靠的。
Diffusion in a tube or channel of varying cross section has been treated, by Fick and Jacobs, as one-dimensional diffusion past an entropy barrier determined by the tube cross-sectional area or channel width. The Fick-Jacobs diffusion equation is rederived, along with corrections involving the curvature of the tube or channel. On comparison with two exactly solvable examples, the Fick-Jacobs equation appears to be quite reliable as long as the curvature is not too great.