Mean crossover functions for uniaxial 3D ising-like systems

Abstract

We give simple expressions for the mean of the max and min bounds of the critical-to-classical crossover functions previously calculated [Bagnuls and Bervillier, Phys. Rev. E 65, 066132 (2002)] within the massive renormalization scheme of the F 4 d (n) model in three dimensions (d = 3) and scalar order parameter (n = 1) of the Ising-like universality class. Our main motivation is to get efficient theoretical expressions to coherently account for many measurements performed in systems where the approach to the critical point is limited but yield data which are still reproducible by the F 4 d (n) model (like in the subclass of one-component fluids).

References in corpus (8)

• Critical Exponents of the N-vector model
• Exact Renormalization Group Equations. An Introductory Review
• 3D Ising Model:The Scaling Equation of State
• Asymmetric Fluid Criticality I: Scaling with Pressure Mixing
• Addendum-erratum to: ``Nonasymptotic critical behavior from field theory at d=3. II. The ordered-phase case. Phys. Rev. B35, 3585 (1987)
• Classical-to-critical crossovers from field theory
• Master singular behavior from correlation length measurements for seven one-component fluids near their gas-liquid critical point
• Application of Minimal Subtraction Renormalization to Crossover Behavior near the ${}^3$He Liquid-Vapor Critical Point

Cited by in corpus (4)

• Master crossover functions for the one-component fluid "subclass"
• An extended scaling analysis of the S=1/2 Ising ferromagnet on the simple cubic lattice
• Master crossover behavior of parachor correlations for one-component fluids
• Master singular behavior for the Sugden factor of the one-component fluids near their gas-liquid critical point