Scaling form of concentration profiles in a subdiffusive membrane system
| dc.creator | Kosztołowicz, Tadeusz | |
| dc.date | 2006-11-01 | |
| dc.date.accessioned | 2026-07-07T07:31:09Z | |
| dc.date.available | 2026-07-07T07:31:09Z | |
| dc.description | 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. | |
| dc.description | 6 peages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0611011 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0611011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118649 | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Statistical Mechanics | |
| dc.title | Scaling form of concentration profiles in a subdiffusive membrane system | |
| dc.type | text |