|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
27 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Continuum Percolation Thresholds in Two Dimensions | | Stephan Mertens
; Cristopher Moore
; | | Date: |
22 Sep 2012 | | Abstract: | A wide variety of methods have been used to compute percolation thresholds.
In lattice percolation, the most powerful of these methods consists of
microcanonical simulations using the union-find algorithm to efficiently
determine the connected clusters, and (in two dimensions) using exact values
from conformal field theory for the probability, at the phase transition, that
various kinds of wrapping clusters exist on the torus. We apply this approach
to percolation in continuum models, finding overlaps between objects with
real-valued positions and orientations. In particular, we find new values of
the percolation transition for disks, squares, rotated squares, and rotated
sticks in two dimensions, and confirm that these transitions behave as
conformal field theory predicts. The running time and memory use of our
algorithm are essentially linear as a function of the number of objects at
criticality. | | Source: | arXiv, 1209.4936 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER