Percolation of randomly distributed growing clusters

Details Percolation of randomly distributed growing clusters Percolation of randomly distributed growing clusters

2010-04-09

arxiv.org/abs/1004.1526v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 7 figures

Scientific paper

We investigate the problem of growing clusters, which is modeled by two dimensional disks and three dimensional droplets. In this model we place a number of seeds on random locations on a lattice with an initial occupation probability, $p$. The seeds simultaneously grow with a constant velocity to form clusters. When two or more clusters eventually touch each other they immediately stop their growth. The probability that such a system will result in a percolating cluster depends on the density of the initially distributed seeds and the dimensionality of the system. For very low initial values of $p$ we find a power law behavior for several properties that we investigate, namely for the size of the largest and second largest cluster, for the probability for a site to belong to the finally formed spanning cluster, and for the mean radius of the finally formed droplets. We report the values of the corresponding scaling exponents. Finally, we show that for very low initial concentration of seeds the final coverage takes a constant value which depends on the system dimensionality.

Affiliated with

Also associated with

No associations

Rating

Percolation of randomly distributed growing clusters 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 Percolation of randomly distributed growing clusters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Percolation of randomly distributed growing clusters will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-221128