Breakdown exponents in lattice and continuum percolation
- 30 January 1988
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 21 (3), L65-L68
- https://doi.org/10.1088/0022-3719/21/3/005
Abstract
Using the 'node-link-blob' model of the incipient infinite cluster, the authors estimate the difference between the breakdown exponents in the lattice and continuum percolation models for both mechanical and electrical breakdown of random systems. In all cases, the exponents for the continuum systems are significantly larger than the corresponding exponents in discrete lattice systems.Keywords
This publication has 12 references indexed in Scilit:
- Dielectric breakdown in the presence of random conductorsPhysical Review B, 1987
- Breakdown properties of quenched random systems: The random-fuse networkPhysical Review B, 1987
- Strain and stress at the fracture of percolative mediaJournal de Physique, 1987
- Lattice and continuum percolation transport exponents: Experiments in two-dimensionsPhysical Review B, 1986
- Size Effects of Electrical Breakdown in Quenched random MediaPhysical Review Letters, 1986
- Fracture Behavior of a Solid with Random PorosityPhysical Review Letters, 1986
- Elastic percolation models for cohesive mechanical failure in heterogeneous systemsPhysical Review B, 1986
- Differences between Lattice and Continuum Percolation Transport ExponentsPhysical Review Letters, 1985
- The critical behaviour of fracture properties of dilute brittle solids near the percolation thresholdJournal of Physics C: Solid State Physics, 1985
- A random fuse model for breaking processesJournal de Physique Lettres, 1985