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arXiv · 0911.3917

Random Diffusion Model with Structure Corrections

David D. McCowan·Gene F. Mazenko
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Abstract

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.

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David D. McCowan, Gene F. Mazenko. 2009-11-19. Random Diffusion Model with Structure Corrections. https://doi.org/10.1103/physreve.81.051106

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