Analytic solutions of the PRISM equations for Gaussian polymers

Fuchs, Matthias

Analytic solutions of the PRISM equations for Gaussian polymers

Files

Analytic_solutions_PRISM.pdf(243.67 KB)

Date

1997

Publication type

Journal article

Published in

Zeitschrift für Physik B ; 103 (1997). - pp. 521-530

Abstract

The polymer reference interaction site model (PRISM) equations for the collective structure of macromolecular liquids are simplified using the Wiener Hopf factorization technique. This approach is expected to be useful in systems exhibiting strongly different length scales. As an application, melts and solutions of Gaussian flexible polymers are considered. It is shown that PRISM theory in agreement with experiments predicts liquid like packing for high polymer concentrations and mean field like scaling laws for the dilute to semidilute crossover at the theta-temperature. In a systematic expansion the range of validity and the leading corrections to the low density scaling law description are calculated.

Subject (DDC)

530 Physics

Cite This

ISO 690

FUCHS, Matthias, 1997. Analytic solutions of the PRISM equations for Gaussian polymers. In: Zeitschrift für Physik B. 103, pp. 521-530. Available under: doi: 10.1007/s002570050406

BibTex

@article{Fuchs1997Analy-8927,
  year={1997},
  doi={10.1007/s002570050406},
  title={Analytic solutions of the PRISM equations for Gaussian polymers},
  volume={103},
  journal={Zeitschrift für Physik B},
  pages={521--530},
  author={Fuchs, Matthias}
}

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