Mapping a Homopolymer onto a Model Fluid

Details Mapping a Homopolymer onto a Model Fluid Mapping a Homopolymer onto a Model Fluid

2006-04-03

arxiv.org/abs/cond-mat/0604045v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 3 figures

Scientific paper

10.1063/1.2218340

We describe a linear homopolymer using a Grand Canonical ensemble formalism, a statistical representation that is very convenient for formal manipulations. We investigate the properties of a system where only next neighbor interactions and an external, confining, field are present, and then show how a general pair interaction can be introduced perturbatively, making use of a Mayer expansion. Through a diagrammatic analysis, we shall show how constitutive equations derived for the polymeric system are equivalent to the Ornstein-Zernike and P.Y. equations for a simple fluid, and find the implications of such a mapping for the simple situation of Van der Waals mean field model for the fluid.

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