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
Table of Content
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.
Language English ● Format PDF ● Pages 63 ● ISBN 9783662437391 ● File size 3.5 MB ● Publisher Springer Berlin ● City Heidelberg ● Country DE ● Published 2014 ● Downloadable 24 months ● Currency EUR ● ID 3312789 ● Copy protection Social DRM
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