Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks

Details Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks

2009-03-26

arxiv.org/abs/0903.4678v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

Small changes and figure update. Accepted for publication, PRL

Scientific paper

The growth of two-dimensional lattice bond percolation clusters through a cooperative Achlioptas-type of process, where the choice of which bond to occupy next depends upon the masses of the clusters it connects, is shown to go through an explosive, first-order kinetic phase transition with a sharp jump in the mass of the largest cluster as the number of bonds is increased. The critical behavior of this growth model is shown to be of a different universality class than standard percolation.

Affiliated with

Also associated with

No associations

Rating

Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks 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 Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65385