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Random diffusion model with structure corrections

The random diffusion model is a continuum model for a conserved scalar density field ϕ driven by diffusive dynamics where the bare diffusion coefficient is density dependent. We generalize the model from one with a sharp wave-number cutoff to one with a more natural large wave-number cutoff. We inve...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2010-05, Vol.81 (5 Pt 1), p.051106-051106, Article 051106
Main Authors: McCowan, David D, Mazenko, Gene F
Format: Article
Language:English
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Summary:The random diffusion model is a continuum model for a conserved scalar density field ϕ driven by diffusive dynamics where the bare diffusion coefficient is density dependent. We generalize the model from one with a sharp wave-number cutoff to one with a more natural large wave-number cutoff. We investigate whether the features seen previously--namely, a slowing down of the system and the development of a prepeak in the dynamic structure factor at a wave number below the first structure peak--survive in this model. A method for extracting information about a hidden prepeak in experimental data is presented.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.81.051106