Multifractality in Rotational Percolation Models

Details Multifractality in Rotational Percolation Models Multifractality in Rotational Percolation Models

2008-07-15

arxiv.org/abs/0807.2297v1

Physica A 376, 351 (2007)

Physics

Condensed Matter

Soft Condensed Matter

18 pages, 6 figures

Scientific paper

10.1016/j.physa.2006.10.079

In rotationally constrained percolation models, a site of a percolation cluster could be occupied more than once from different directions due to the nature of the rotational constraint. A state variable $s_i$ is assigned to each lattice site whose value corresponds to the number times it has been visited during the growth of a cluster. It is proposed here that the percolation transition and the multifractal aspects of infinite percolation clusters under rotational constraint can be studied defining suitable measures in terms of the state variable $s_i$. This method does not require to introduce any external agency like an electric current or a random walker in order to explore multifractality as in the case of ordinary percolation. The state variable representation also describes the universality class of the percolation models appropriately.

Affiliated with

Also associated with

No associations

Rating

Multifractality in Rotational Percolation Models 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 Multifractality in Rotational Percolation Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multifractality in Rotational Percolation Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-595822