Year: 2017
Type: article
Abstract: This work focuses on quantitative representation of transport in systems with quenched disorder. Explicit mapping of the quenched trap model to continuous time random walk is presented. Linear temporal transformation, $t\ensuremath{\rightarrow}t/{\mathrm{\ensuremath{\Lambda}}}^{1/\ensuremath{\alpha}}$, for a transient process in the subdiffusive regime is sufficient for asymptotic mapping. An exact form of the constant ${\mathrm{\ensuremath{\Lambda}}}^{1/\ensuremath{\alpha}}$ is established. A disorder averaged position probability density function for a quenched trap model is obtained, and analytic expressions for the diffusion coefficient and drift are provided.
Source: Physical review. E
Author: Stanislav Burov
Institution: Bar-Ilan University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2737812337