In many real network systems, nodes usually cooperate with each other and form groups to enhance their robustness to risks. This motivates us to study an alternative type of percolation, group percolation, in interdependent networks under attack. In this model, nodes belonging to the same group survive or fail together. We develop a theoretical framework for this group percolation and find that the formation of groups can improve the resilience of interdependent networks significantly. However, the percolation transition is always of first order, regardless of the distribution of group sizes. As an application, we map the interdependent networks with intersimilarity structures, which have attracted much attention recently, onto the group percolation and confirm the nonexistence of continuous phase transitions.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.97.032306 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Impact of pre-crosslinks on the self-transformation performance of thermoplastic polyesters into vitrimers intermolecular transesterification.
RSC Adv
January 2025
Department of Life Science and Applied Chemistry, Graduate School of Engineering, Nagoya Institute of Technology Gokiso-cho, Showa-ku Nagoya Aichi Japan 466-8555
We recently proposed a concept of self-transformation from thermoplastic polyesters into vitrimers intermolecular bond exchange as the cross-linking reaction. Key was the use of polyesters bearing hydroxyl side groups, which were cross-linked without additional cross-linkers through intermolecular transesterification in the presence of a suitable catalyst. In our previous study, a linear polyester was synthesized as the starting polymer by reacting dithiol monomers containing ester bonds (2-SH) with diepoxy monomers (2-epoxy) a thiol-epoxy reaction, generating hydroxyl side groups along the polyester chain.
View Article and Find Full Text PDFFacile synthesis of nanoporous Mg crystalline structure by organic solvent-based reduction for solid-state hydrogen storage.
Nat Commun
December 2024
Department of Chemical and Biomolecular Engineering, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Republic of Korea.
Nanoporous metals have unique potentials for energy applications with a high surface area despite the percolating structure. Yet, a highly corrosive environment is required for the synthesis of porous metals with conventional dealloying methods, limiting the large-scale fabrication of porous structures for reactive metals. In this study, we synthesize a highly reactive Mg nanoporous system through a facile organic solution-based approach without any harsh etching.
View Article and Find Full Text PDFUnique magnetic transition process demonstrating the effectiveness of bond percolation theory in a quantum magnet.
Nat Commun
November 2024
Department of Materials Science and Engineering, Graduate School of Engineering, Tohoku University, Sendai, Japan.
Like the crystallization of water to ice, magnetic transition occurs at a critical temperature after the slowing down of dynamically fluctuating short-range correlated spins. Here, we report a unique type of magnetic transition characterized by a linear increase in the volume fraction of unconventional static short-range-ordered spin clusters, which triggered a transition into a long-range order at a threshold fraction perfectly matching the bond percolation theory in a new quantum antiferromagnet of pseudo-trigonal Cu(OH)Cl. Static short-range order appeared in its Kagome lattice plane below ca.
View Article and Find Full Text PDFAn environmental "fairytail": Removal of mercury from water via phage virion-based biosorption.
Enzyme Microb Technol
February 2025
VBlab - Laboratory of Bacterial Viruses, University of Sorocaba, Sorocaba, SP 18023-000, Brazil; Department of Biology and CESAM, University of Aveiro, Campus Universitário de Santiago, Aveiro P-3810-193, Portugal. Electronic address:
Contamination of water with mercury constitutes a serious public health problem, especially in locations where the use of Hg occurs improperly/illegally and negligently, as is the case in the Amazon region (Brazil). The riverside populations in the Amazon are frequently invaded by illegal mining, exposing these populations to significant risks, of which contamination by heavy metals such as mercury (Hg) has the potential to cause serious illnesses. Furthermore, exposure to this metal causes neurological, cardiovascular, immune and digestive system disorders, in addition to damaging the lungs, kidneys, skin and eyes.
View Article and Find Full Text PDFLateral size dependence of photoconductivity in TMD networks.
J Phys Condens Matter
December 2024
Nanomaterials Laboratory, Physics Department, Universidad de los Andes, Bogota 111711, Colombia.
Photoconductivity is an important feature of semiconductors that finds major attention in the fields of solar cells, hydrogen and oxygen evolution reactions, and photodetectors. This feature involves a change of density of charge carriers induced by light, which is dependent on the generation of light-induced carriers and the recombination of excitons. This phenomenon has been observed in transition metal dichalcogenides (TMDs) since 2010; however, when printing such materials on flexible substrates, they form networks that would exhibit distinct transport characteristics compared to isolated TMDs crystals.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!