Energy Barrier for an Ion Crossing an Intra-Membrane Channel
Biological Physics
2007-05-23 v1
Abstract
We present a simple approximate analytical estimate for self-energy of a charge in the middle of cylindrical channel of a high permittivity epsilon_1 in a media of a low permittivity epsilon_2 (for the cases of infinitely long and comparatively short channels) and show that this estimate is in a good quantitative agreement with exact solution of Poisson equation. Further, using these estimates, we explain the observed a lower conductivity, caused by an increased the self-free-energy for ions, whose diameter is by ~1 angstrom less than that of the channel (as compared to ions, whose diameter is equal to that of the channel).
Keywords
Cite
@article{arxiv.physics/0612139,
title = {Energy Barrier for an Ion Crossing an Intra-Membrane Channel},
author = {Alexei V. Finkelstein and Dmitry N. Ivankov and Alexander M. Dykhne},
journal= {arXiv preprint arXiv:physics/0612139},
year = {2007}
}
Comments
6 pages, 2 figures, 1 table, 6 references