- LandOfFree
- Scientists
- Physics
- Condensed Matter
- Disordered Systems and Neural Networks
Details
The Approximate Invariance of the Average Number of Connections for the
Continuum Percolation of Squares at Criticality
The Approximate Invariance of the Average Number of Connections for the
Continuum Percolation of Squares at Criticality
2002-05-31
-
arxiv.org/abs/cond-mat/0205665v1
Physics
Condensed Matter
Disordered Systems and Neural Networks
Scientific paper
10.1016/S0378-4371(02)01546-7
We perform Monte Carlo simulations to determine the average excluded area $$ of randomly oriented squares, randomly oriented widthless sticks and aligned squares in two dimensions. We find significant differences between our results for randomly oriented squares and previous analytical results for the same. The sources of these differences are explained. Using our results for $$ and Monte Carlo simulation results for the percolation threshold, we estimate the mean number of connections per object $B_c$ at the percolation threshold for squares in 2-D. We study systems of squares that are allowed random orientations within a specified angular interval. Our simulations show that the variation in $B_c$ is within 1.6% when the angular interval is varied from 0 to $\pi/2$.
Affiliated with
Also associated with
No associations
LandOfFree
Say what you really think
Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.
Rating
The Approximate Invariance of the Average Number of Connections for the
Continuum Percolation of Squares at Criticality does not yet have a rating.
At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Approximate Invariance of the Average Number of Connections for the
Continuum Percolation of Squares at Criticality, we encourage you to share that experience with our LandOfFree.com community.
Your opinion is very important and The Approximate Invariance of the Average Number of Connections for the
Continuum Percolation of Squares at Criticality will most certainly appreciate the feedback.
Rate now
Profile ID: LFWR-SCP-O-75659
All data on this website is collected from public sources.
Our data reflects the most accurate information available at the time of publication.