Link rewiring with local information--induced hybrid percolation transitions
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912335810002944 |
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| author | Cho, Young Sul |
| author_facet | Cho, Young Sul |
| contents | When a link is occupied to restrict the growth of large clusters using the size information of a finite number of finite clusters, so-called local information, an abrupt but continuous transition is exhibited. We report here that a hybrid transition can occur if each node rewires its links to restrict the growth of large clusters using local information continuously up to a finite number of rewirings. For example, on a branch of a Bethe lattice with coordination number $4$, each node rewires its outgoing links to its descendants several times in ascending order of cluster size to reach a steady state. Then a hybrid transition with nontrivial critical exponents occurs as a function of the link fraction at the steady state. We observe this phenomenon even on a Bethe lattice without hierarchy, supporting that such a phenomenon may occur on diverse tree networks with finite degrees. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_08572 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Link rewiring with local information--induced hybrid percolation transitions Cho, Young Sul Statistical Mechanics When a link is occupied to restrict the growth of large clusters using the size information of a finite number of finite clusters, so-called local information, an abrupt but continuous transition is exhibited. We report here that a hybrid transition can occur if each node rewires its links to restrict the growth of large clusters using local information continuously up to a finite number of rewirings. For example, on a branch of a Bethe lattice with coordination number $4$, each node rewires its outgoing links to its descendants several times in ascending order of cluster size to reach a steady state. Then a hybrid transition with nontrivial critical exponents occurs as a function of the link fraction at the steady state. We observe this phenomenon even on a Bethe lattice without hierarchy, supporting that such a phenomenon may occur on diverse tree networks with finite degrees. |
| title | Link rewiring with local information--induced hybrid percolation transitions |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2408.08572 |