Abstract
We propose a method to measure the subdiffusion parameter and subdiffusion coefficient which are defined by means of the relation , where denotes a mean square displacement of a random walker starting from at the initial time . 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. We experimentally study a diffusion of glucose and sucrose in a gel solvent, and we precisely determine the parameters and , using a fully analytic solution of the fractional subdiffusion equation.
- Received 23 October 2003
DOI:https://doi.org/10.1103/PhysRevLett.94.170602
©2005 American Physical Society