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Boundary effects on finite-size scaling for the 5-dimensional Ising model
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- Lundow, Per-Håkan (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
- (creator_code:org_t)
- Elsevier, 2021
- 2021
- English.
- In: Nuclear Physics B. - : Elsevier. - 0550-3213 .- 1873-1562. ; 967
- Journal article (peer-reviewed)
Abstract
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- 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.
Subject headings
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
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