Microtransition cascades to percolation

Microtransition cascades to percolation

We report the discovery of a discrete hierarchy of microtransitions occurring in models of continuous and discontinuous percolation. The precursory microtransitions allow us to target almost deterministically the location of the transition point to global connectivity. This extends to the class of i...

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Veröffentlicht in:Physical review letters 2014-04, Vol.112 (15), p.155701-155701, Article 155701
Hauptverfasser: Chen, Wei, Schröder, Malte, D'Souza, Raissa M, Sornette, Didier, Nagler, Jan
Format: Artikel
Sprache:eng
Schlagworte:
Cascades
Complex systems
Hierarchies
Percolation
Signal processing
Stochastic processes
Transition points
Warning
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Beschreibung
Zusammenfassung:We report the discovery of a discrete hierarchy of microtransitions occurring in models of continuous and discontinuous percolation. The precursory microtransitions allow us to target almost deterministically the location of the transition point to global connectivity. This extends to the class of intrinsically stochastic processes the possibility to use warning signals anticipating phase transitions in complex systems.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.112.155701