Chisholm approximants and critical phenomena
- 11 June 1974
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 7 (9) , L101-L104
- https://doi.org/10.1088/0305-4470/7/9/001
Abstract
Recent developments in rational approximation schemes defined from power series of many variables are discussed in relation to their application to problems in critical phenomena. A detailed calculation is performed on an Ising model problem which illustrated the use of these new approximants in the two-variable case.Keywords
This publication has 12 references indexed in Scilit:
- Rational approximants defined from power series in N variablesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1974
- Low-temperature expansions for Ising models with pair, triplet and quartet interactions present. IIJournal of Physics C: Solid State Physics, 1973
- Derivation of low-temperature expansions for Ising model. II. General theoryJournal of Mathematical Physics, 1973
- Methods of Series Analysis. I. Comparison of Current Methods Used in the Theory of Critical PhenomenaPhysical Review B, 1973
- Rational approximants defined from double power seriesMathematics of Computation, 1973
- High temperature series expansions for the anisotropic Heisenberg modelJournal of Physics C: Solid State Physics, 1972
- Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling PicturePhysical Review B, 1971
- Dependence of Critical Indices on a ParameterPhysical Review Letters, 1970
- Critical Point Behavior of the Ising Model with Higher-Neighbor Interactions PresentJournal of Mathematical Physics, 1969
- The theory of equilibrium critical phenomenaReports on Progress in Physics, 1967