Explosive Percolation in Random Networks

Download or read book Explosive Percolation in Random Networks written by Wei Chen and published by Springer. This book was released on 2014-07-15 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.