English

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 CtλF(δ/tρ)C\sim t^\lambda F(\delta/t^{\rho}), where δ\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 λ\lambda and ρ\rho, 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

R2 v1 2026-07-22T11:39:13.433Z