This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiple phase transitions, and unstable giant components are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology.
€96.29
Spis treści
Introduction.- Discontinuous Explosive Percolation with Multiple Giant Components.- Deriving An Underlying Mechanism for Discontinuous Percolation Transitions.- Continuous Phase Transitions in Supercritical Explosive Percolation.- Unstable Supercritical Discontinuous Percolation Transitions.- Algorithm of percolation models.
Język Angielski ● Format PDF ● Strony 63 ● ISBN 9783662437391 ● Rozmiar pliku 3.5 MB ● Wydawca Springer Berlin ● Miasto Heidelberg ● Kraj DE ● Opublikowany 2014 ● Do pobrania 24 miesięcy ● Waluta EUR ● ID 3312789 ● Ochrona przed kopiowaniem Społeczny DRM
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