Measuring subdiffusion parameters

Details Measuring subdiffusion parameters Measuring subdiffusion parameters

2003-09-02

arxiv.org/abs/cond-mat/0309072v4

Physics

Condensed Matter

Statistical Mechanics

17 pages, 9 figures, revised, to appear in Phys. Rev. E

Scientific paper

We propose a method to extract from experimental data the subdiffusion parameter $\alpha$ and subdiffusion coefficient $D_\alpha$ which are defined by means of the relation $ =2D_\alpha/\Gamma(1+\alpha) t^\alpha$ where $$ denotes a mean square displacement of a random walker starting from $x=0$ at the initial time $t=0$. The method exploits a membrane system where a substance of interest is transported in a solvent from one vessel to another across a thin membrane which plays here only an auxiliary role. Using such a system, we experimentally study a diffusion of glucose and sucrose in a gel solvent. We find a fully analytic solution of the fractional subdiffusion equation with the initial and boundary conditions representing the system under study. Confronting the experimental data with the derived formulas, we show a subdiffusive character of the sugar transport in gel solvent. We precisely determine the parameter $\alpha$, which is smaller than 1, and the subdiffusion coefficient $D_\alpha$.

Affiliated with

Also associated with

No associations

Rating

Measuring subdiffusion parameters does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Measuring subdiffusion parameters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Measuring subdiffusion parameters will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-493335