Boundary effects on finite-size scaling for the 5-dimensional Ising model

• 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.

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NATURVETENSKAP  -- Fysik -- Annan fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Other Physics Topics (hsv//eng)

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