Nucleation phenomena and extreme vulnerability of spatial k-core systems.

ABSTRACT: K-core percolation is a fundamental dynamical process in complex networks with applications that span numerous real-world systems. Earlier studies focus primarily on random networks without spatial constraints and reveal intriguing mixed-order transitions. However, real-world systems, ranging from transportation and communication networks to complex brain networks, are not random but are spatially embedded. Here, we study k-core percolation on two-dimensional spatially embedded networks and show that, in contrast to regular percolation, the length of connections can control the transition type, leading to four different types of phase transitions associated with interesting phenomena and a rich phase diagram. A key finding is the existence of a metastable phase where microscopic localized

SUBMITTER: Xue L 

PROVIDER: S-EPMC11239893 | biostudies-literature | 2024 Jul

REPOSITORIES: biostudies-literature