Measurement of the percolation threshold for fully penetrable disks of different radii
Journal Article
·
· Physical Review E
We perform simulations of gradient percolation to study the percolation threshold for systems of homogeneous fully penetrable disks of variable radii. We find that, if the radii follow a uniform distribution, the percolation threshold is 0.686610{+-}0.000007. We also investigate binary dispersions, studying the influence of constitutive parameters on the percolation threshold and suggesting an empirical formula for the threshold. We find that, with the appropriate parameters, a percolation threshold of approximately 0.76 can be achieved. The minimal threshold of 0.676339{+-}0.000004 is achieved by disks of equal radius.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40203336
- Journal Information:
- Physical Review E, Journal Name: Physical Review E Journal Issue: 6 Vol. 63; ISSN 1063-651X
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
Similar Records
Percolation of binary disk systems: Modeling and theory
Extending the excluded volume for percolation threshold estimates in polydisperse systems: The binary disk system
A precise determination of the void percolation threshold for two distributions of overlapping spheres
Journal Article
·
Wed Jan 11 23:00:00 EST 2017
· Physical Review E
·
OSTI ID:1343061
Extending the excluded volume for percolation threshold estimates in polydisperse systems: The binary disk system
Journal Article
·
Thu Jun 01 00:00:00 EDT 2017
· Applied Mathematical Modelling
·
OSTI ID:1340261
A precise determination of the void percolation threshold for two distributions of overlapping spheres
Journal Article
·
Mon Jan 24 23:00:00 EST 2000
· Physical Review Letters
·
OSTI ID:751216