Issue |
Europhys. Lett.
Volume 37, Number 7, March I 1997
|
|
---|---|---|
Page(s) | 493 - 494 | |
Section | Condensed matter: electronic structure, electrical, magnetic and optical properties | |
DOI | https://doi.org/10.1209/epl/i1997-00178-y | |
Published online | 01 September 2002 |
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
Received:
21
January
1997
Accepted:
24
January
1997
In our recent letter [1], we address the disagreement between
renormalization group (RG) analytical prediction [2] and Monte Carlo
simulation [3] for the magnetization distribution cumulants of the
five-dimensional Ising model. The Monte Carlo data [3] for finite lattices
did not agree with the RG predictions for the large-L
limit [2]. 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 [1]. 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 [2] 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
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