Generalization of Scaling Laws to Dynamical Properties of a System Near its Critical Point

1967/09/18 by Bertrand I. Halperin, P. C. Hohenberg · 4 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Statistical Mechanics and Entropy #Theoretical and Computational Physics

paper · doi:10.1103/physrevlett.19.700

openalex publication_date 1967/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/11

Abstract

The Widom-Kadanoff scaling laws are generalized to dynamic phenomena, by making assumptions on the structure of time-dependent correlation functions near T_c. The theory is applied to isotropic Heisenberg antiferromagnet and predictions are made, which can be tested by inelastic neutron-scattering and nmr measurements. The ferromagnet is also briefly discussed.

Cited by

• Theory of dynamic critical phenomena
• Scaling Laws for Dynamic Critical Phenomena
• Muon spin rotation and relaxation in magnetic materials
• Pierre Hohenberg [wikipedia]