Cluster structure and conductivity of three-dimensional continuum systems
- 1 February 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 31 (2) , 1222-1225
- https://doi.org/10.1103/physreva.31.1222
Abstract
While the cluster statistics exponents for three-dimensional continuum systems have been shown to be the same as those of lattices, the cluster structure and the conductivity exponents of such continuum systems have not been reported before. Here we present the first determination of both the fractal dimension of clusters, D, and the conductivity exponent, t, for these systems. We further describe the ‘‘porcupine’’-like morphology of the clusters and the conductivity behavior in continuum anisotropic systems.Keywords
This publication has 14 references indexed in Scilit:
- Gelation and critical phenomenaPublished by Springer Nature ,2007
- Percolation Thresholds in the Three-Dimensional Sticks SystemPhysical Review Letters, 1984
- Critical Behavior of the Two-Dimensional Sticks SystemPhysical Review Letters, 1983
- Computer study of the percolation threshold in a two-dimensional anisotropic system of conducting sticksPhysical Review B, 1983
- Anisotropic percolation in carbon black-polyvinylchloride compositesSolid State Communications, 1983
- Series study of random percolation in three dimensionsJournal of Physics A: General Physics, 1983
- Tests of Universality of Percolation Exponents for a Three-Dimensional Continuum System of Interacting Waterlike ParticlesPhysical Review Letters, 1982
- Continuum percolation in two dimensions: Monte Carlo tests of scaling and universality for non-interacting discsJournal of Physics A: General Physics, 1981
- Fluctuation-induced tunneling conduction in disordered materialsPhysical Review B, 1980
- Critical exponents for percolation conductivity in resistor networksPhysical Review B, 1977