How to Measure Subdiffusion Parameters
How to Measure Subdiffusion Parameters
We propose a method to measure the subdiffusion parameter $\ensuremath{\alpha}$ and subdiffusion coefficient ${D}_{\ensuremath{\alpha}}$ which are defined by means of the relation $⟨{x}^{2}⟩=\frac{2{D}_{\ensuremath{\alpha}}}{\ensuremath{\Gamma}(1+\ensuremath{\alpha})}{t}^{\ensuremath{\alpha}}$, where $⟨{x}^{2}⟩$ 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 …