Universal mechanism for hybrid percolation transitions

Collection with item attached
2017
Item details URL
http://open-repository.kisti.re.kr/cube/handle/open_repository/486733.do
DOI
10.1038/s41598-017-06182-3
Title
Universal mechanism for hybrid percolation transitions
Description
This work was supported by the National Research Foundation of Korea bygrant no. NRF-2014R1A3A2069005. JK thanks APCTP and SNU for kindhospitality as well as H2020 FETPROACT-GSS CIMPLEX Grant No. 641191 forpartial support.
abstract
Hybrid percolation transitions (HPTs) induced by cascading processes have been observed in diverse complex systems such as k-core percolation, breakdown on interdependent networks and cooperative epidemic spreading models. Here we present the microscopic universal mechanism underlying those HPTs. We show that the discontinuity in the order parameter results from two steps: a durable critical branching (CB) and an explosive, supercritical (SC) process, the latter resulting from large loops inevitably present in finite size samples. In a random network of N nodes at the transition the CB process persists for O(N-1/3) time and the remaining nodes become vulnerable, which are then activated in the short SC process. This crossover mechanism and scaling behavior are universal for different HPT systems. Our result implies that the crossover time O(N-1/3) is a golden time, during which one needs to take actions to control and prevent the formation of a macroscopic cascade, e.g., a pandemic outbreak.
provenance
Made available in Cube on 2018-09-28T16:15:29Z (GMT). No. of bitstreams: 0
language
English
author
Lee, Deokjae
Choi, Wonjun
Kertesz, J.
Kahng, B.
accessioned
2018-09-28T16:15:29Z
available
2018-09-28T16:15:29Z
issued
2017
citation
SCIENTIFIC REPORTS(7)
issn
2045-2322
uri
http://open-repository.kisti.re.kr/cube/handle/open_repository/486733.do
Funder
교육부
Funding Program
BK21플러스사업(0.5)
Project ID
1345273973
Jurisdiction
Rep.of Korea
Project Name
Frontier Physics Research Division
rights
openAccess
type
article


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