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Boundary effects on finite-size scaling for the 5-dimensional Ising model
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2021 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 967, article id 115422Article in journal (Refereed) Published
Abstract [en]

High-dimensional (d≥5) Ising systems have mean-field critical exponents. However, at the critical temperature the finite-size scaling of the susceptibility χ depends on the boundary conditions. A system with periodic boundary conditions then has χ ∝ L5/2. Deleting the 5L4 boundary edges we receive a system with free boundary conditions and now χ ∝ L2. In the present work we find that deleting the L4 boundary edges along just one direction is enough to have the scaling χ ∝ L2. It also appears that deleting L3 boundary edges results in an intermediate scaling, here estimated to χ ∝ L2.275. We also study how the energy and magnetisation distributions change when deleting boundary edges.

Place, publisher, year, edition, pages
Elsevier, 2021. Vol. 967, article id 115422
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URN: urn:nbn:se:umu:diva-183135DOI: 10.1016/j.nuclphysb.2021.115422ISI: 000655593800022Scopus ID: 2-s2.0-85104919359OAI: oai:DiVA.org:umu-183135DiVA, id: diva2:1555073
Available from: 2021-05-17 Created: 2021-05-17 Last updated: 2023-09-05Bibliographically approved

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Lundow, Per-Håkan

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
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  • de-DE
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