Scaling form of concentration profiles in a subdiffusive membrane system
Other Condensed Matter
2007-05-23 v1 Statistical Mechanics
Abstract
We show that the concentration profiles in the subdiffusive system with a membrane, which separates a homogeneous solution from a pure solvent at an initial moment, has a general scaling form in the long time limit , where is a distance from the membrane surface. There is also derived the relation involving the subdiffusion parameters of the medium and the membrane with the scaling parameters and , which are measured experimentally. The relation allows one to extract the subdiffusion parameters of the system from experimental data.
Keywords
Cite
@article{arxiv.cond-mat/0611011,
title = {Scaling form of concentration profiles in a subdiffusive membrane system},
author = {Tadeusz Kosztołowicz},
journal= {arXiv preprint arXiv:cond-mat/0611011},
year = {2007}
}
Comments
6 peages, 1 figure