Reply to Comment on “inite-size scaling of the 5D Ising model"
Department of Physics and Astronomy and Center for Simulational Physics, University of Georgia - Athens, 30602 Georgia, USA
Accepted: 24 January 1997
In our recent letter , we address the disagreement between renormalization group (RG) analytical prediction  and Monte Carlo simulation  for the magnetization distribution cumulants of the five-dimensional Ising model. The Monte Carlo data  for finite lattices did not agree with the RG predictions for the large-L limit . We explore the possibility that this difference can be traced to strong finite-size corrections. Therefore, we calculate numerically the RG predictions for the finite-size corrections . Our numerical RG finite-size corrections can be described very well with a square-root dependence . Such a power law was predicted in the RG paper  to be the leading correction term. Then, we compare the numerical RG predictions for the finite-size correction to the deviations of the Monte Carlo data from the RG predictions for the large-L limit. We find good agreement for the first and third absolute moment. For the fourth-order Binder cumulant, only the Monte Carlo data for the larger lattices is in agreement with the numerical RG predictions.
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, 1997