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Damage spreading in the random cluster model
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.ORCID iD: 0000-0002-6291-5885
2022 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 985, article id 116008Article in journal (Refereed) Published
Abstract [en]

We investigate the damage spreading effect in the Fortuin-Kasteleyn random cluster model for 2- and 3-dimensional grids with periodic boundary. For 2D the damage function has a global maximum at p=q/(1+q) for all q>0 and also local maxima at p=1/2 and p=q/(1+q) for q≲0.75. For 3D we observe a local maximum at p=q/(1+q) for q≲0.46 and a global maximum at p=1/2 for q≲4.5. The chaotic phase of the model's (p,q)-parameter space is where the coupling time is of exponential order and we locate points on its boundary. For 3-dimensional grids the lower bound of this phase may be equal to the corresponding critical point of the q-state Potts model for q≥3.

Place, publisher, year, edition, pages
Elsevier, 2022. Vol. 985, article id 116008
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:umu:diva-201197DOI: 10.1016/j.nuclphysb.2022.116008ISI: 000882463500012Scopus ID: 2-s2.0-85141244404OAI: oai:DiVA.org:umu-201197DiVA, id: diva2:1715066
Available from: 2022-12-01 Created: 2022-12-01 Last updated: 2023-03-24Bibliographically approved

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Lundow, Per-Håkan

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CiteExportLink to record
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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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  • de-DE
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More languages
Output format
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