Finite-size scaling of the 5D Ising model
1996; Institute of Physics; Volume: 34; Issue: 6 Linguagem: Inglês
10.1209/epl/i1996-00470-4
ISSN1286-4854
Autores Tópico(s)Complex Network Analysis Techniques
ResumoWe 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.
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