Scaling form of concentration profiles in a subdiffusive membrane system

Tadeusz Kosztołowicz

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arXiv · cond-mat/0611011

Scaling form of concentration profiles in a subdiffusive membrane system

Tadeusz Kosztołowicz

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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 $C\sim t^λF(δ/t^ρ)$, where $δ$ 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 $λ$ and $ρ$, which are measured experimentally. The relation allows one to extract the subdiffusion parameters of the system from experimental data.

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Tadeusz Kosztołowicz. 2006-11-01. Scaling form of concentration profiles in a subdiffusive membrane system. https://arxiv.org/abs/cond-mat/0611011

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