Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-11-11
Phys. Rev. E 85, 031103 (2012)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1103/PhysRevE.85.031103
The BFW model introduced by Bohman, Frieze, and Wormald [Random Struct. Algorithms, 25, 432 (2004)] and recently investigated in the framework of discontinuous percolation by Chen and D'Souza [Phys. Rev. Lett., 106, 115701 (2011)], is studied on the square and simple-cubic lattices. In two and three dimensions, we find numerical evidence for a strongly discontinuous transition. In two dimensions, the clusters at the threshold are compact with a fractal surface of fractal dimension $d_f=1.49\pm0.02$. On the simple-cubic lattice, distinct jumps in the size of the largest cluster are observed. We proceed to analyze the tree-like version of the model, where only merging bonds are sampled, for dimension two to seven. The transition is again discontinuous in any considered dimension. Finally, the dependence of the cluster-size distribution at the threshold on the spatial dimension is also investigated.
Araújo Nuno A. M.
D'Souza Raissa M.
Deflorin S.
Felder A.
Herrmann Hans Jürgen
No associations
LandOfFree
Bohman-Frieze-Wormald model on the lattice, yielding a discontinuous percolation transition 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 Bohman-Frieze-Wormald model on the lattice, yielding a discontinuous percolation transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bohman-Frieze-Wormald model on the lattice, yielding a discontinuous percolation transition will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-139498