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Updated: Jun 8, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Random diffusion model with structure corrections
David D McCowan1, Gene F Mazenko
1The James Franck Institute and Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA.
Abstract:
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.
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