Combinatorial models of rigidity and renormalization

Details Combinatorial models of rigidity and renormalization Combinatorial models of rigidity and renormalization

2011-09-04

arxiv.org/abs/1109.0719v1

Physics

Condensed Matter

Statistical Mechanics

22 pages, 6 figures

Scientific paper

We first introduce the percolation problems associated with the graph theoretical concepts of $(k,l)$-sparsity, and make contact with the physical concepts of ordinary and rigidity percolation. We then devise a renormalization transformation for $(k,l)$-percolation problems, and investigate its domain of validity. In particular, we show that it allows an exact solution of $(k,l)$-percolation problems on hierarchical graphs, for $k\leq l<2k$. We introduce and solve by renormalization such a model, which has the interesting feature of showing both ordinary percolation and rigidity percolation phase transitions, depending on the values of the parameters.

Affiliated with

Also associated with

No associations

Rating

Combinatorial models of rigidity and renormalization 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 Combinatorial models of rigidity and renormalization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Combinatorial models of rigidity and renormalization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-109193