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Explosive Growth in Biased Dynamic Percolation on Two-Dimensional Regular Lattice Networks
Open accessAbstract
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.
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Citations
Cited by
Catastrophic cascade of failures in interdependent networks
Buldyrev, S. V., Parshani, R., Paul, G., Stanley, H. E., & Havlin, S. (2010) · Nature · doi:10.1038/nature08932 · Cited by 4,513
Recent advances in percolation theory and its applications
Saberi, A. A. (2015) · Physics Reports · doi:10.1016/j.physrep.2015.03.003 · Cited by 438
Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization
Boccaletti, S., Almendral, J. A., Guan, S., Leyva, I., Liu, Z., Sendiña-Nadal, I., Wang, Z., & Zou, Y. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.10.004 · Cited by 363
Metadata
- Authors
- Ziff, R. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-07-22
- Volume
- 103
- Issue
- 4
- Pages
- 045701-045701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2033975254
- Cited by
- 183
- References
- 0
- FWCI
- 16.36
- Type
- journal article
- Language
- en
- Open access
- green
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- Ziff, R. M. (2009). Explosive Growth in Biased Dynamic Percolation on Two-Dimensional Regular Lattice Networks. Physical Review Letters. https://doi.org/10.1103/physrevlett.103.045701
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
