arXiv:1408.5509 · Nuclear Physics B

Finite size scaling of the 5D Ising model with free boundary conditions

P. H. Lundow, Klas Markström

Published Oct 14, 2014• 33 citations

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 an L2 scaling for the susceptibility and an alternative theory has promoted an L5/2 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 provide both supports for the standard scaling picture and a clear explanation of why the scalings for free and cyclic boundary should be different.

DOI: 10.1016/j.nuclphysb.2014.10.011

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