Science (American Association for the Advancement of Science), 2011-07, Vol.333 (6040), p.322-324
2011
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- Autor(en) / Beteiligte
- Titel
- Explosive Percolation Is Continuous
- Ist Teil von
- Science (American Association for the Advancement of Science), 2011-07, Vol.333 (6040), p.322-324
- Ort / Verlag
- Washington, DC: American Association for the Advancement of Science
- Erscheinungsjahr
- 2011
- Quelle
- American Association for the Advancement of Science
- Beschreibungen/Notizen
- "Explosive percolation" is said to occur in an evolving network when a macroscopic connected component emerges in a number of steps that is much smaller than the system size. Recent predictions based on simulations suggested that certain Achlioptas processes (much-studied local modifications of the classical mean-field growth model of Erdös and Rényi) exhibit this phenomenon, undergoing a phase transition that is discontinuous in the scaling limit. We show that, in fact, all Achlioptas processes have continuous phase transitions, although related models in which the number of nodes sampled may grow with the network size can indeed exhibit explosive percolation.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0036-8075eISSN: 1095-9203DOI: 10.1126/science.1206241Titel-ID: cdi_proquest_miscellaneous_907947781
- Format
- –
- Schlagworte
- Computer simulation, Critical points, Exact sciences and technology, Explosions, Explosives, Growth Models, Heuristics, Mathematical discontinuity, Mathematical functions, Mathematical Logic, Mathematical models, Mathematics, Networks, Percolation, Phase transformations, Physics, Sampling, Simulations, Statistical models, Statistical physics, thermodynamics, and nonlinear dynamical systems, Vertices