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• W2028810835 abstract "There has been a long running debate on the finite size scaling for the Ising model with free boundary conditions above the upper critical dimension, where the standard picture gives a $L^2$ scaling for the susceptibility and an alternative theory has promoted a $L^{5/2}$ scaling, as would be the case for cyclic boundary. In this paper we present results from simulation of the far largest systems used so far, up to side $L=160$ and find that this data clearly supports the standard scaling. Further we present a discussion of why rigorous results for the random-cluster model provides both supports the standard scaling picture and provides a clear explanation of why the scalings for free and cyclic boundary should be different." @default.
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• W2028810835 date "2014-12-01" @default.
• W2028810835 modified "2023-10-04" @default.
• W2028810835 title "Finite size scaling of the 5D Ising model with free boundary conditions" @default.
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• W2028810835 doi "https://doi.org/10.1016/j.nuclphysb.2014.10.011" @default.
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