1999
DOI: 10.1103/physreve.60.1921
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Intermolecular structure factors of macromolecules in solution: Integral equation results

Abstract: The inter-molecular structure of semidilute polymer solutions is studied theoretically. The low density limit of a generalized Ornstein-Zernicke integral equation approach to polymeric liquids is considered. Scaling laws for the dilute-to-semidilute crossover of random phase (RPA) like structure are derived for the inter-molecular structure factor on large distances when inter-molecular excluded volume is incorporated at the microscopic level. This leads to a non-linear equation for the excluded volume interac… Show more

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Cited by 15 publications
(23 citation statements)
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“…, where ̺ * p , is the density when polymer coils start to interpenetrate. The mathematical thread limit of the PRISM equations corresponds to a scaling law description of the diluteto-semidilute crossover of polymer solutions and can be compared to field theoretic scaling laws and results [48]. In both cases only mesoscopic parameters, the polymer molecule density and coil size, enter and all microscopic parameters, like σ p , l p and ̺ p σ 3 p , drop out.…”
Section: Solution In Low Density Limitsmentioning
confidence: 99%
“…, where ̺ * p , is the density when polymer coils start to interpenetrate. The mathematical thread limit of the PRISM equations corresponds to a scaling law description of the diluteto-semidilute crossover of polymer solutions and can be compared to field theoretic scaling laws and results [48]. In both cases only mesoscopic parameters, the polymer molecule density and coil size, enter and all microscopic parameters, like σ p , l p and ̺ p σ 3 p , drop out.…”
Section: Solution In Low Density Limitsmentioning
confidence: 99%
“…We note, additionally, that the intermolecular correlations, which manifest themselves as the correlation hole in the intermolecular pair correlation function and corrections to the Gaussian chain statistics [69][70][71][72][73][74][75][76][77], also impart forces on the center of mass of a polymer. These forces result in corrections to the strictly linear time dependence of the center-of-mass mean-square displacement, g 3 (t), predicted by the Rouse model [158].…”
Section: Crossability Of Polymersmentioning
confidence: 89%
“…-Interfacial fluctuations (capillary waves) of the internal AB interfaces in binary blends or block copolymers or the surfaces of polymer solutions and melts [66][67][68] broaden apparent interfacial profiles measured in experiments or extracted from simulations. -The correlation hole in the intermolecular pair correlation function gives rise to important corrections to the Gaussian chain behavior in polymer melts in the bulk and thin films [69][70][71][72][73][74][75][76][77] and, additionally, leads to deviations of the single-chain dynamics from the Rouse model [77,78].…”
Section: Soft Interactions-a Necessitymentioning
confidence: 99%
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“…If the monomers are simply the centers of exclusion spheres of diameter , to account for steric effects, a convenient closure is the Percus-Yevick approximation h(r)ϭϪ1, rϭ͉r͉ Ͻ; c(r)ϭ0, rϾ. 17 For polymer chains in good solvent we consider the following isotropic model form factor, 18,19 …”
Section: H͑q͒ϭ͑q͒c͑q͒͑͑q͒ϩh͑q͒͒ ͑7͒mentioning
confidence: 99%