| Issue |
EPL
Volume 103, Number 2, July 2013
|
|
|---|---|---|
| Article Number | 26004 | |
| Number of page(s) | 4 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/103/26004 | |
| Published online | 06 August 2013 | |
Percolation properties of growing networks under an Achlioptas process
1 BK21 Physics Research Division and Department of Physics, Sungkyunkwan University - Suwon 440-746, Korea
2 Department of Applied Physics, Hanyang University - Ansan 426-791, Korea
(a) beomjun@skku.edu
(b) sonswoo@hanyang.ac.kr
Received: 23 May 2013
Accepted: 8 July 2013
We study the percolation transition in growing networks under an Achlioptas process (AP). At each time step, a node is added in the network and, with probability δ, a link is formed between two nodes chosen by an AP. We find that there occurs the percolation transition with varying δ and the critical point δc = 0.5149(1) is determined from the power-law behavior of the order parameter and the crossing of the fourth-order cumulant at the critical point, also confirmed by the movement of the peak positions of the second largest cluster size to the δc. Using the finite-size scaling analysis, we get 
and 
, which implies β ≈ 1/2 and 
. The Fisher exponent τ = 2.24(1) for the cluster size distribution is obtained and shown to satisfy the hyperscaling relation.
PACS: 64.60.ah – Percolation / 05.70.Jk – Critical point phenomena / 89.75.Da – Systems obeying scaling laws
© EPLA, 2013
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