Mapping a Homopolymer onto a Model Fluid

S. Pasquali; J. K. Percus

doi:10.1063/1.2218340

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Mapping a Homopolymer onto a Model Fluid

S. Pasquali·J. K. Percus

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Abstract

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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S. Pasquali, J. K. Percus. 2006-04-03. Mapping a Homopolymer onto a Model Fluid. https://doi.org/10.1063/1.2218340

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