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

P. H. Lundow; K. Markström

doi:10.1016/j.nuclphysb.2014.10.011

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arXiv · 1408.5509

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

P. H. Lundow·K. Markström

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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.

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BibTeX RIS

P. H. Lundow, K. Markström. 2014-08-23. Finite size scaling of the 5D Ising model with free boundary conditions. https://doi.org/10.1016/j.nuclphysb.2014.10.011

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