A novel method of calculating amplitude ratios by series expansions

Abstract

The author introduces a new method of calculating critical amplitude ratios using series, which is both simple and powerful. This method, which gives estimates for the amplitude ratios that are neither biased by the values of the critical points nor by the critical exponents, is applied to several models. It is shown that this method produces results where no reliable estimates from series expansion exist. In particular one finds 0.025+or-0.001 for AT'/B² for the 3D Ising model and 220+or-10 for C⁺/C^- for the two-dimensional percolation model in agreement with, and with more accuracy than, values obtained by other methods.