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28 March 2024
 
  » arxiv » cond-mat/0104449

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A practical density functional for polydisperse polymers
I. Pagonabarraga ; M. E. Cates ;
Date 24 Apr 2001
Subject Soft Condensed Matter; Statistical Mechanics | cond-mat.soft cond-mat.stat-mech
AbstractThe Flory Huggins equation of state for monodisperse polymers can be turned into a density functional by adding a square gradient term, with a coefficient fixed by appeal to RPA (random phase approximation). We present instead a model nonlocal functional in which each polymer is replaced by a deterministic, penetrable particle of known shape. This reproduces the RPA and square gradient theories in the small deviation and/or weak gradient limits, and can readily be extended to polydisperse chains. The utility of the new functional is shown for the case of a polydisperse polymer solution at coexistence in a poor solvent.
Source arXiv, cond-mat/0104449
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