Random Diffusion Model with Structure Corrections

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

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Bibliographic Details
Published in:arXiv.org 2010-06
Main Authors: McCowan, David D, Mazenko, Gene F
Format: Article
Language:English
Subjects:
Continuum modeling
Density
Diffusion
Diffusion coefficient
Structure factor
Wavelengths
Online Access:Get full text
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Summary:The random diffusion model is a continuum model for a conserved scalar density field driven by diffusive dynamics where the bare diffusion coefficient is density dependent. We generalize the model from one with a sharp wavenumber cutoff to one with a more natural large-wavenumber 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 wavenumber below the first structure peak -- survive in this model. A method for extracting information about a hidden prepeak in experimental data is presented.
ISSN:2331-8422
DOI:10.48550/arxiv.0911.3917