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Explosive Percolation Transition is Actually Continuous
Open accessAbstract
Recently a discontinuous percolation transition was reported in a new "explosive percolation" problem for irreversible systems [D. Achlioptas, R. M. D'Souza, and J. Spencer, Science 323, 1453 (2009)] in striking contrast to ordinary percolation. We consider a representative model which shows that the explosive percolation transition is actually a continuous, second order phase transition though with a uniquely small critical exponent of the percolation cluster size. We describe the unusual scaling properties of this transition and find its critical exponents and dimensions.
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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
- da Costa, R. A., Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-12-14
- Volume
- 105
- Issue
- 25
- Pages
- 255701-255701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2031997083
- Cited by
- 287
- References
- 0
- FWCI
- 19.06
- Type
- journal article
- Language
- en
- Open access
- green
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- da Costa, R. A., Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2010). Explosive Percolation Transition is Actually Continuous. Physical Review Letters. https://doi.org/10.1103/physrevlett.105.255701
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