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An integral equation study of percolation in systems of flexible and rigid macromolecules

J. Chem. Phys. 114, 10544 (2001); doi:10.1063/1.1372761

Issue Date: 15 June 2001

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Xiaoling Wang and Avik P. Chatterjee
Department of Chemistry, College of Environmental Science and Forestry (SUNY-ESF), Syracuse, New York 13210
An earlier integral equation approach to percolation in macromolecular fluids is extended to include attractive interactions between the sites representing flexible polymers. An analytic treatment based on the threadlike chain model shows that the percolation threshold near the theta temperature is closely related to the usual semidilute overlap concentration, and is significantly below the value found under athermal conditions. These results are consistent with the findings of numerical calculations on tangent-bead chain models. The location of the static percolation threshold in the density–concentration plane with relation to the liquid–vapor spinodal boundary is investigated. Numerically obtained results for the percolation thresholds for both flexible and rigid athermal, finite thickness, macromolecules are presented, which are consistent with prior findings based on the analytically tractable threadlike chain model. ©2001 American Institute of Physics.
History: Received 26 January 2001; accepted 28 March 2001
Permalink: http://link.aip.org/link/?JCPSA6/114/10544/1
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KEYWORDS and PACS

Keywords
PACS
  • 64.60.Ak
    Equations of state, phase equilibria, and phase transitions General studies of phase transitions Renormalization-group, fractal, and percolation studies of phase transitions
  • 61.25.Hq
    Structure of solids and liquids; crystallography Studies of specific liquid structures Macromolecular and polymer solutions; polymer melts; swelling
  • YEAR: 2001

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PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
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