Acta Physica Polonica B

Vol. 38, No. 5, May 2007, page 1807


Scaling Form of Concentration Profiles in a Subdiffusive Membrane System

T. Kosztolowicz

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 C\sim t\lambda F(\delta /t\rho ), where \delta 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 \lambda and \rho , which are measured experimentally. The relation allows one to extract the subdiffusion parameters of the system from experimental data.

PACS numbers: 02.50.--r, 89.75.Da



 
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