Diverse types of percolation transitions. (5th December 2016)

• Record Type: Journal Article
• Authors: Lee, Deokjae; Cho, Y S; Kahng, B
• Is Part Of: Journal of statistical mechanics. (2016:Dec.)
• Publication Date: 2016-12-05
• Subjects: 11 -- 4; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2016/12/124002
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: Percolation has long served as a model for diverse phenomena and systems. The percolation transition, that is, the formation of a giant cluster on a macroscopic scale, is known as one of the most robust continuous transitions. Recently, however, many abrupt percolation transitions have been observed in complex systems. To illustrate such phenomena, considerable effort has been made to introduce models and construct theoretical frameworks for explosive, discontinuous, and hybrid percolation transitions. Experimental results have also been reported. In this review article, we describe such percolation models, their critical behaviors and universal features, and real-world phenomena.