Mapping a homopolymer onto a model fluid

S. Pasquali; J. K. Percus

doi:10.1063/1.2218340

Mapping a homopolymer onto a model fluid

S. Pasquali, J. K. Percus

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Article number	064906
Journal	Journal of Chemical Physics
Volume	125
Issue number	6
DOIs	https://doi.org/10.1063/1.2218340
State	Published - 2006

ASJC Scopus subject areas

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.2218340

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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 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.",

author = "S. Pasquali and Percus, {J. K.}",

note = "Funding Information: One of the authors (S.P.) would like to thank PCT-ESPCI and Volkswagenstiftung for current support and the Physics Department of New York University for the support during her Ph.D. when this work was mainly conducted. The work of the other author (J.K.P.) is partially sponsored by DOE, Grant No. DE-FG02-02ER1592.",

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AU - Percus, J. K.

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AB - 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.

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Mapping a homopolymer onto a model fluid

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