%0 Journal Article %1 WOS:000301339900001 %A Schrenk, K J %A Felder, A %A Deflorin, S %A Araujo, N A M %A D'Souza, R M %A Herrmann, H J %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2012 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW E %K imported %N 3, 1 %R 10.1103/PhysRevE.85.031103 %T Bohman-Frieze-Wormald model on the lattice, yielding a discontinuous percolation transition %V 85 %X 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 +/- 0.02. 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.

@article{WOS:000301339900001, abstract = {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 +/- 0.02. 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.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Schrenk, K J and Felder, A and Deflorin, S and Araujo, N A M and D'Souza, R M and Herrmann, H J}, biburl = {https://www.bibsonomy.org/bibtex/27656ed986e796c0dc3badfbe5ff222cd/ppgfis_ufc_br}, doi = {10.1103/PhysRevE.85.031103}, interhash = {a5504cab0991b6a669edc4f8205b3986}, intrahash = {7656ed986e796c0dc3badfbe5ff222cd}, issn = {2470-0045}, journal = {PHYSICAL REVIEW E}, keywords = {imported}, number = {3, 1}, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Bohman-Frieze-Wormald model on the lattice, yielding a discontinuous percolation transition}, tppubtype = {article}, volume = 85, year = 2012 }