Critical Behavior of the Four-Dimensional Ising Ferromagnet and the Breakdown of Scaling
- 1 March 1970
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 1 (5) , 2238-2240
- https://doi.org/10.1103/physrevb.1.2238
Abstract
Experience obtained from an analysis of the high-temperature series expansion of the spin-spin correlation function of the four-dimensional Ising model shows that the apparent failure of scaling in the three-dimensional Ising model cannot easily be attributed to logarithmic factors modifying the simple power-law singularities at the critical point.Keywords
This publication has 17 references indexed in Scilit:
- Specific Heat of the Order-Disorder Transition inBrassPhysical Review Letters, 1969
- Scaling Form of the Spin-Spin Correlation Function of the Three-Dimensional Ising Ferromagnet above the Curie TemperaturePhysical Review Letters, 1969
- Spin-Spin Correlation Function of the Three-Dimensional Ising Ferromagnet Above the Curie TemperaturePhysical Review Letters, 1969
- Critical Scattering of X-Rays fromAlPhysical Review Letters, 1969
- The theory of equilibrium critical phenomenaReports on Progress in Physics, 1967
- Specific heat of a three-dimensional Ising ferromagnet above the Curie temperatureProceedings of the Physical Society, 1967
- Theory of Critical-Point Scattering and Correlations. I. The Ising ModelPhysical Review B, 1967
- Temperature Dependence of Short-Range Order inβ-BrassPhysical Review B, 1967
- Pair-Correlation Function in Disordered-Brass as Studied by Neutron DiffractionPhysical Review B, 1967
- Long-Range Order and Critical Scattering of Neutrons below the Transition Temperature inβ-BrassPhysical Review B, 1967