期刊
PHYSICAL REVIEW LETTERS
卷 107, 期 27, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.275703
关键词
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资金
- NRF [2010-0015066]
- NAP of KRCF
- Seoul Science Foundation
Percolation transitions (PTs) of networks, leading to the formation of a macroscopic cluster, are conventionally considered to be continuous transitions. However, a modified version of the classical random graph model was introduced in which the growth of clusters was suppressed, and a PT occurs explosively at a delayed transition point. Whether the explosive PT is indeed discontinuous or continuous becomes controversial. Here, we show that the behavior of the explosive PT depends on detailed dynamic rules. Thus, when dynamic rules are designed to suppress the growth of all clusters, the discontinuity of the order parameter tends to a finite value as the system size increases, indicating that the explosive PT could be discontinuous.
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