An Extended Scaling Scheme for Critically Divergent Quantities in Ferromagnets and Spin Glasses
Statistical Mechanics
2007-05-23 v3 Disordered Systems and Neural Networks
Abstract
From a consideration of high temperature series expansions in ferromagnets and in spin glasses, we propose an extended scaling scaling scheme involving a set of scaling formulae which express to leading order the temperature (T) and the system size (L) dependences of thermodynamic observables over a much wider range of T than the corresponding one in the conventional scaling scheme. The extended scaling, illustrated by data on the canonical 2d ferromagnet and on the 3d binomial Ising spin glass, leads to consistency for the estimates of critical parameters obtained from scaling analyses for different observables.
Keywords
Cite
@article{arxiv.cond-mat/0603453,
title = {An Extended Scaling Scheme for Critically Divergent Quantities in Ferromagnets and Spin Glasses},
author = {I. A. Campbell and K. Hukushima and H. Takayama},
journal= {arXiv preprint arXiv:cond-mat/0603453},
year = {2007}
}
Comments
4+epsilon pages, 6 figures. Published version