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Continuum percolation in athermal mixtures of flexible and rigid macromolecules

J. Chem. Phys. 116, 347 (2002); doi:10.1063/1.1423619

Issue Date: 1 January 2002

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Xiaoling Wang and Avik P. Chatterjee
Department of Chemistry, SUNY Environmental Science and Forestry, 121 Edwin C. Jahn Laboratory, Syracuse, New York 13210
An integral equation treatment of connectedness percolation in macromolecular fluids is extended to athermal mixtures of semiflexible and rodlike polymers. The percolation threshold for formation of a geometrically connected network of rodlike particles dispersed in a medium of flexible polymers is investigated as a function of the particle aspect ratio. Results are also presented for a one-component model of identical rodlike particles in the absence of a matrix. The dependence of critical volume fraction on rod aspect ratio is strikingly similar in both instances, and close to that predicted by an analytic thread-chain approximation. The primary effect of explicitly including the athermal, flexible, matrix polymer molecules is a reduction of the critical volume fraction by a factor which depends only weakly on the aspect ratio of the rodlike particles. ©2002 American Institute of Physics.
History: Received 29 June 2001; accepted 9 October 2001
Permalink: http://link.aip.org/link/?JCPSA6/116/347/1
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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
  • 36.20.-r
    Exotic atoms and molecules; macromolecules; clusters Macromolecules and polymer molecules
  • 02.30.Rz
    Mathematical methods in physics Function theory, analysis Integral equations
  • YEAR: 2002

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PUBLICATION DATA

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