Re-analysis of the critical isotherm of the Ising ferromagnet
- 26 June 1972
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 5 (12), 1429-1444
- https://doi.org/10.1088/0022-3719/5/12/020
Abstract
Using extended high-field series expansions and more precise estimates of the critical temperature the critical isotherm of the spin 1/2 Ising ferromagnet is re-analysed. The conjectures delta =15 (d=2) and delta =5 (d=3) are confirmed to within 1/2% and 1%, respectively. Good agreement is found, particularly in two dimensions, between series estimates of the critical amplitudes and the predictions of the lattice-lattice scaling hypothesis. Some tentative conclusions regarding the coincident and nonphysical singularities are drawn.Keywords
This publication has 21 references indexed in Scilit:
- Lattice-lattice scaling and the generalized law of corresponding statesJournal of Physics C: Solid State Physics, 1971
- Non monotonic variation of the critical current as a function of the magnetic field in a heavily cold worked type ii superconductorJournal de Physique, 1971
- Critical isotherm of the spin 1 Ising ferromagnetJournal of Physics C: Solid State Physics, 1970
- Low-Temperature Critical Exponents from High-Temperature Series: The Ising ModelPhysical Review B, 1970
- The critical isotherm and critical exponents of the three-dimensional ising ferromagnetProceedings of the Physical Society, 1967
- The theory of equilibrium critical phenomenaReports on Progress in Physics, 1967
- Ising-Model Critical Indices below the Critical TemperaturePhysical Review B, 1967
- The crystal statistics of the diamond latticePhysica, 1963
- Application of the Padé Approximant Method to the Investigation of Some Magnetic Properties of the Ising ModelPhysical Review B, 1961
- On the susceptibility of a ferromagnetic above the Curie pointProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957