Mapping a homopolymer onto a model fluid

S. Pasquali, Jerome Percus

Research output: Contribution to journalArticle

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 Percus-Yevick 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.

Original languageEnglish (US)
Article number064906
JournalJournal of Chemical Physics
Volume125
Issue number6
DOIs
StatePublished - 2006

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Homopolymerization
Fluids
fluids
constitutive equations
Constitutive equations
confining
manipulators
interactions
formalism
expansion

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Mapping a homopolymer onto a model fluid. / Pasquali, S.; Percus, Jerome.

In: Journal of Chemical Physics, Vol. 125, No. 6, 064906, 2006.

Research output: Contribution to journalArticle

Pasquali, S. ; Percus, Jerome. / Mapping a homopolymer onto a model fluid. In: Journal of Chemical Physics. 2006 ; Vol. 125, No. 6.
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