Finite-size effects in two-dimensional continuum percolation
- 1 January 1989
- journal article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 39 (1) , 369-373
- https://doi.org/10.1103/physrevb.39.369
Abstract
We have investigated the finite-size effects of anisotropic continuum percolation in two dimensions. The elements that percolate are widthless sticks. We have developed a simple theory to explain the dependence of longitudinal and transverse critical lengths on anisotropy and the finite number of sticks in the sample. By comparing the theory to simulations, we find good agreement.Keywords
This publication has 8 references indexed in Scilit:
- Prediction of the electrical conductivity of two-dimensionally misoriented short fiber composites by a percolation modelJournal of Applied Physics, 1986
- A new experimental approach to two-dimensional percolationPhysics Letters A, 1986
- Effective thermal conductivity of a misoriented short fiber compositeJournal of Applied Physics, 1985
- Universal percolation-threshold limits in the continuumPhysical Review B, 1985
- Excluded volume and its relation to the onset of percolationPhysical Review B, 1984
- Computer study of the percolation threshold in a two-dimensional anisotropic system of conducting sticksPhysical Review B, 1983
- Mechanical, thermal, and electrical properties of metal fiber‐filled polymer compositesPolymer Engineering & Science, 1979
- Percolation and conductivity: A computer study. IPhysical Review B, 1974