From quenched disorder to continuous time random walk

Stanislav Burov

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8 Scopus citations

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→t/Λ1/α, for a transient process in the subdiffusive regime is sufficient for asymptotic mapping. An exact form of the constant Λ1/α 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.

Original languageEnglish
Article number050103
JournalPhysical Review E
Volume96
Issue number5
DOIs
StatePublished - 13 Nov 2017

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.

Funding

This work was supported by the Pazy Research Foundation. I thank E. Barkai for many discussions.

FundersFunder number
Pazy Research Foundation

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