An integral equation approach to effective interactions between polymers in solution

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dc.creatorKrakoviack, V.
dc.creatorRotenberg, B.
dc.creatorHansen, J. -P.
dc.date2003-10-03
dc.date2003-12-16
dc.date.accessioned2026-07-07T02:53:57Z
dc.date.available2026-07-07T02:53:57Z
dc.descriptionWe use the thread model for linear chains of interacting monomers, and the ``polymer reference interaction site model'' (PRISM) formalism to determine the monomer-monomer pair correlation function $h_{mm}(r)$ for dilute and semi-dilute polymer solutions, over a range of temperatures from very high (where the chains behave as self-avoiding walks) to below the $θ$ temperature, where phase separation sets in. An inversion procedure, based on the HNC integral equation, is used to extract the effective pair potential between ``average'' monomers on different chains. An accurate relation between $h_{mm}(r)$, $h_{cc}(r)$ [the pair correlation function between the polymer centers of mass (c.m.)], and the intramolecular form factors is then used to determine $h_{cc}(r)$, and subsequently extract the effective c.m.-c.m. pair potential $v_{cc}(r)$ by a similar inversion procedure. $v_{cc}(r)$ depends on temperature and polymer concentration, and the predicted variations are in reasonable agreement with recent simulation data, except at very high temperatures, and below the $θ$ temperature.
dc.description13 pages, 13 figures, revtex ; revised version
dc.identifierhttps://arxiv.org/abs/cond-mat/0310060
dc.identifierhttp://arxiv.org/abs/cond-mat/0310060
dc.identifierJ. Phys. Chem. B 108, 6697 (2004)
dc.identifierdoi:10.1021/jp036800o
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22360
dc.subjectSoft Condensed Matter
dc.titleAn integral equation approach to effective interactions between polymers in solution
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