Connectedness percolation in polydisperse rod systems: A modified Bethe lattice approach

被引：53
作者：
Chatterjee, Avik P. [1 ]
机构：
[1] SUNY ESF, Edwin C Jahn Lab, Dept Chem, Syracuse, NY 13210 USA
来源：
JOURNAL OF CHEMICAL PHYSICS | 2010年 / 132卷 / 22期
关键词：
POLYMER NANOCOMPOSITES; ELECTRICAL-PROPERTIES; BEHAVIOR;
D O I：
10.1063/1.3436716
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
A mean-field theory is presented for the percolation behavior of systems of rodlike particles characterized by length polydispersity. An analogy to the problem of site percolation on a modified Bethe lattice is employed to estimate the percolation threshold, percolation probability, and backbone fraction as functions of the rod volume fraction and polydispersity. Model calculations reveal that the percolation probability and backbone fraction depend sensitively upon the rod length distribution, while the percolation threshold is governed primarily by the weight-averaged rod length. (C) 2010 American Institute of Physics. [doi:10.1063/1.3436716]
引用
收藏
页数：8
相关论文
共 29 条
  • [11] POLYMER NANOCOMPOSITES REINFORCED BY CELLULOSE WHISKERS
    FAVIER, V
    CHANZY, H
    CAVAILLE, JY
    [J]. MACROMOLECULES, 1995, 28 (18) : 6365 - 6367
  • [12] SOME CLUSTER SIZE AND PERCOLATION PROBLEMS
    FISHER, ME
    ESSAM, JW
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1961, 2 (04) : 609 - &
  • [13] Theoretical and computational studies of carbon nanotube composites and suspensions: Electrical and thermal conductivity
    Foygel, M
    Morris, RD
    Anez, D
    French, S
    Sobolev, VL
    [J]. PHYSICAL REVIEW B, 2005, 71 (10):
  • [14] GEOMETRICAL PERCOLATION-THRESHOLD OF OVERLAPPING ELLIPSOIDS
    GARBOCZI, EJ
    SNYDER, KA
    DOUGLAS, JF
    THORPE, MF
    [J]. PHYSICAL REVIEW E, 1995, 52 (01) : 819 - 828
  • [15] Continuum percolation of carbon nanotubes in polymeric and colloidal media
    Kyrylyuk, Andriy V.
    van der Schoot, Paul
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2008, 105 (24) : 8221 - 8226
  • [16] CONDUCTING BACKBONE IN PERCOLATING BETHE LATTICES
    LARSON, RG
    DAVIS, HT
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1982, 15 (11): : 2327 - 2331
  • [17] Carbon black networking in elastomers monitored by dynamic mechanical and dielectric spectroscopy
    Meier, Johann G.
    Klueppel, Manfred
    [J]. MACROMOLECULAR MATERIALS AND ENGINEERING, 2008, 293 (01) : 12 - 38
  • [18] Random Graphs with Clustering
    Newman, M. E. J.
    [J]. PHYSICAL REVIEW LETTERS, 2009, 103 (05)
  • [19] Scientific collaboration networks. I. Network construction and fundamental results
    Newman, MEJ
    [J]. PHYSICAL REVIEW E, 2001, 64 (01) : 8
  • [20] Continuum Percolation of Polydisperse Nanofillers
    Otten, Ronald H. J.
    van der Schoot, Paul
    [J]. PHYSICAL REVIEW LETTERS, 2009, 103 (22)
123