Y Meir 1987 J. Phys. A: Math. Gen. 20 L349 doi:10.1088/0305-4470/20/6/002
A novel method of calculating amplitude ratios by series expansions
Y Meir
Show affiliationsThe 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.
- PACS
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05.70.Jk Critical point phenomena
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
- Subjects
- Dates
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Issue 6 (21 April 1987)
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A novel method of calculating amplitude ratios by series expansions
Y Meir 1987 J. Phys. A: Math. Gen. 20 L349
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