Finite-size scaling of the 5D Ising model
Open Access
- 20 May 1996
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 34 (6) , 399-404
- https://doi.org/10.1209/epl/i1996-00470-4
Abstract
We address the long-standing disagreement between renormalization group (RG) and Monte Carlo (MC) study of finite-size scaling for the order parameter distribution function of the 5D Ising model. MC study finds disagreement between the RG and MC on the fourth-order Binder cumulant. Two new results are presented here. First, we compare the RG predictions for the first and third absolute moment to MC data. Good agreement and finite-size corrections which are much smaller than for the cumulant are found. Second, we observe that the size dependence of the corrections is consistent with the RG square-root law, which is slow. This, together with a large correction amplitude for the cumulant, provide a possible explanation for prior disagreement.Keywords
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