Suppression effect on the Berezinskii-Kosterlitz-Thouless transition in growing networks
- Title
- Suppression effect on the Berezinskii-Kosterlitz-Thouless transition in growing networks
- Author
- 손승우
- Keywords
- LONG-RANGE ORDER; EXPLOSIVE PERCOLATION
- Issue Date
- 2018-12
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW E, v. 98, No. 6, Article no. 060301
- Abstract
- The percolation transition in growing networks can be of infinite order, following the Berezinskii-Kosterlitz-Thouless (BKT) transition. Examples can be found in diverse systems, including coauthorship networks and protein interaction networks. Here, we investigate how such an infinite-order percolation transition is changed by the global suppression (GS) effect. We find that the BKT infinite-order transition breaks down, but the features of infinite-order, second-order, and first-order transitions all emerge in a single framework. Owing to the GS effect, the transition point pc is delayed, below which the critical region is extended. The power-law behavior of the cluster size distribution reaches the state with the exponent τ = 2 at pc, suggesting that the system has the maximum diversity of cluster sizes and a first-order percolation transition occurs at pc.
- URI
- https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.060301https://repository.hanyang.ac.kr/handle/20.500.11754/99009
- ISSN
- 2470-0045; 2470-0053
- DOI
- 10.1103/PhysRevE.98.060301
- Appears in Collections:
- COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED PHYSICS(응용물리학과) > Articles
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