| Autor: |
Park, Jinha, Yi, Sudo, Choi, K., Lee, Deokjae, Kahng, B. |
| Rok vydání: |
2019 |
| Předmět: |
|
| Zdroj: |
Chaos 29, 091102 (2019) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1063/1.5121775 |
| Popis: |
Critical phenomena of a second-order percolation transition are known to be independent of cluster merging or pruning process. However, those of a hybrid percolation transition (HPT), mixed properties of both first-order and second-order transitions, depend on the processes. The HPT induced by cluster merging is more intrigue and little understood than the other. Here, we construct a theoretical framework using the so-called restricted percolation model. In this model, clusters are ranked by size and partitioned into small- and large-cluster sets. As the cluster rankings are updated by cluster coalescence, clusters may move back and forth across the set boundary. The inter-event time (IET) between two consecutive crossing times have two distributions with power-law decays, which in turn characterize the criticality of the HPT. A burst of such crossing events occurs and signals the upcoming transition. We discuss a related phenomenon to this critical dynamics. |
| Databáze: |
arXiv |
| Externí odkaz: |
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