Application of Minimal Subtraction Renormalization to Crossover Behavior near the ${}^3$He Liquid-Vapor Critical Point

Abstract

Parametric expressions are used to calculate the isothermal susceptibility, specific heat, order parameter, and correlation length along the critical isochore and coexistence curve from the asymptotic region to crossover region. These expressions are based on the minimal-subtraction renormalization scheme within the ${\varphi }^4$ model. Using two adjustable parameters in these expressions, we fit the theory globally to recently obtained experimental measurements of isothermal susceptibility and specific heat along the critical isochore and coexistence curve, and early measurements of coexistence curve and light scattering intensity along the critical isochore of ${}^3$He near its liquid-vapor critical point. The theory provides good agreement with these experimental measurements within the reduced temperature range $|t|\le 2\times 10^{-2}$.

References in corpus (5)

• Critical Exponents of the N-vector model
• Crossover critical behavior in the three-dimensional Ising model
• Classical-to-critical crossovers from field theory
• Five-loop additive renormalization in the phi^4 theory and amplitude functions of the minimally renormalized specific heat in three dimensions
• Crossover behavior in He3 and Xe near their liquid-vapor critical point

Cited by in corpus (5)

• Master singular behavior from correlation length measurements for seven one-component fluids near their gas-liquid critical point
• Master crossover functions for the one-component fluid "subclass"
• Finite-size effects on the behavior of the susceptibility in van der Waals films under $+,+$ boundary conditions
• Mean crossover functions for uniaxial 3D ising-like systems
• Universality and quantum effects in one-component critical fluids