Corrections to Scaling Laws
- 1 June 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 5 (11) , 4529-4536
- https://doi.org/10.1103/physrevb.5.4529
Abstract
The effects of higher-order contributions to the linearized renormalization group equations in critical phenomena are discussed. This analysis leads to three quite different results: (i) An exact scaling law for redefined fields is obtained. These redefined fields are normally analytic functions of the physical fields. Corrections to the standard power laws are derived from this scaling law. (ii) The theory explains why logarithmic terms can exist in the free energy. (iii) The case in which the energy scales like the dimensionality is analyzed to show that quite anomalous results may be obtained in this special situation.Keywords
This publication has 19 references indexed in Scilit:
- Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical BehaviorPhysical Review B, 1971
- Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling PicturePhysical Review B, 1971
- Extended Thermodynamic Scaling from a Generalized Parametric FormPhysical Review Letters, 1971
- Expanded formulation of thermodynamic scaling in the critical regionJournal of Research of the National Bureau of Standards Section A: Physics and Chemistry, 1971
- Modèle de fonction aléatoire de couverture applicable aux phénomènes de filiation à base poissonnienneJournal de Physique, 1971
- Fluids with Several Phase TransitionsPhysical Review Letters, 1970
- Low-Temperature Critical Exponents from High-Temperature Series: The Ising ModelPhysical Review B, 1970
- On the microscopic foundation of scaling lawsPhysics Letters A, 1969
- The theory of equilibrium critical phenomenaReports on Progress in Physics, 1967
- Static Phenomena Near Critical Points: Theory and ExperimentReviews of Modern Physics, 1967