Ising model susceptibility amplitudes. II. Three-dimensional lattices
- 1 August 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (8) , 1249-1255
- https://doi.org/10.1088/0305-4470/8/8/009
Abstract
For Pt.1 see ibid., vol.8, no.8, p.1236 of 1975. Amplitudes for a number of three-dimensional Ising model series have been estimated from recently extended series expansions. The amplitudes have then been used to re-estimate the field and temperature scaling parameters that are fundamental to the Generalized Law of Corresponding States. These new scaling parameters have been used (i) to estimate the amplitudes of the next most singular term in the high-temperature susceptibility for the four common three-dimensional lattices, and (ii) to show that an earlier conjecture, that the field scaling parameter nx is the same for the Ising and spherical models, is unlikely to hold.Keywords
This publication has 8 references indexed in Scilit:
- Ising model susceptibility amplitudes. I. Two-dimensional latticesJournal of Physics A: General Physics, 1975
- Inverse susceptibility expansions for the Ising and classical vector modelsJournal of Physics A: Mathematical, Nuclear and General, 1974
- Estimation of critical indices for the three-dimensional Ising modelJournal of Physics A: Mathematical, Nuclear and General, 1973
- Derivation of low-temperature expansions for Ising model. VI. Three-dimensional lattices-temperature groupingJournal of Physics A: Mathematical, Nuclear and General, 1973
- Re-analysis of the critical isotherm of the Ising ferromagnetJournal of Physics C: Solid State Physics, 1972
- High temperature series for the susceptibility of the Ising model. II. Three dimensional latticesJournal of Physics A: General Physics, 1972
- Specific heat of a three dimensional Ising ferromagnet above the Curie temperature. IIJournal of Physics A: General Physics, 1972
- Lattice-lattice scaling and the generalized law of corresponding statesJournal of Physics C: Solid State Physics, 1971