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• W3103405557 abstract "Abstract Percolation is a paradigmatic model in disordered systems and has been applied to various natural phenomena. The percolation transition is known as one of the most robust continuous transitions. However, recent extensive studies have revealed that a few models exhibit a discontinuous percolation transition (DPT) in cluster merging processes. Unlike the case of continuous transitions, understanding the nature of discontinuous phase transitions requires a detailed study of the system at hand, which has not been undertaken yet for DPTs. Here we examine the cluster size distribution immediately before an abrupt increase in the order parameter of DPT models and find that DPTs induced by cluster merging kinetics can be classified into two types. Moreover, the type of DPT can be determined by the key characteristic of whether the cluster kinetic rule is homogeneous with respect to the cluster sizes. We also establish the necessary conditions for each type of DPT, which can be used effectively when the discontinuity of the order parameter is ambiguous, as in the explosive percolation model." @default.
• W3103405557 created "2020-11-23" @default.
• W3103405557 creator A5015642017 @default.
• W3103405557 creator A5074973043 @default.
• W3103405557 date "2015-07-07" @default.
• W3103405557 modified "2023-09-27" @default.
• W3103405557 title "Two Types of Discontinuous Percolation Transitions in Cluster Merging Processes" @default.
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• W3103405557 doi "https://doi.org/10.1038/srep11905" @default.
• W3103405557 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/26148542" @default.
• W3103405557 hasPublicationYear "2015" @default.
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