Phase transitions in the node, edge, bootstrap, and diffusion percolation models on the Sierpiński carpet

DOI10.1016/j.physa.2024.130164MaRDI QIDQ6653400

Hoseung Jang, Unjong Yu

Publication date: 16 December 2024

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

critical phenomenapercolationphase transitionfractal graphscorrelated percolationuniversality hypothesis

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Universality for bond percolation in two dimensions
• Recent advances in percolation theory and its applications
• Phase transition in the diffusion and bootstrap percolation models on regular random and Erdős-Rényi networks
• Universality class of the percolation in two-dimensional lattices with distortion
• Newman-Ziff algorithm for the bootstrap percolation: application to the Archimedean lattices
• Percolation on complex networks: theory and application
• Percolation transition in fractal dimensions
• Existence of phase transition of percolation on Sierpiński carpet lattices
• Scaling corrections: site percolation and Ising model in three dimensions
• Networks
• Bootstrap and diffusion percolation transitions in three-dimensional lattices
• Monte Carlo study for the thermodynamic and dynamic phase transitions in the spin-\(S\) Ising model on Sierpiński carpet

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