Finite-size scaling of the 5D Ising model
Department of Physics and Astronomy and Center for
University of Georgia - Athens, Georgia 30602, USA
Accepted: 22 March 1996
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.
PACS: 05.50.+q – Lattice theory and statistics; Ising problems / 05.70.Jk – Critical point phenomena / 64.60.-i – General studies of phase transitions
© EDP Sciences, 1996