Anomalous diffusion producing normal relaxation and transport

From the Arrhenius law a probability distribution of timescales is derived by treating both the prefactor and the activation energy as random variables. In the defect-diffusion model this probability distribution is used to calculate the properties of the anomalous diffusion of defects. The timescal...

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Published inJournal of physics. Condensed matter Vol. 19; no. 6; pp. 065121 - 065121 (7)
Main Authors Bendler, John T, Fontanella, John J, Shlesinger, Michael F
Format Journal Article
LanguageEnglish
Published IOP Publishing 14.02.2007
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Summary:From the Arrhenius law a probability distribution of timescales is derived by treating both the prefactor and the activation energy as random variables. In the defect-diffusion model this probability distribution is used to calculate the properties of the anomalous diffusion of defects. The timescales represent the pausing time distribution between movements of a defect. The conditions are determined for these mobile defects to produce stretched exponential relaxation. The diffusion of a single defect is anomalous, but the collective effect of all defects produces a characteristic relaxation timescale. The temperature and pressure dependence of this timescale is used to determine conductivity, dielectric relaxation, and viscosity.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0953-8984
1361-648X
DOI:10.1088/0953-8984/19/6/065121