Universal relations among critical amplitude. Calculations up to order epsilon2 for systems with continuous symmetry
Dec 1, 1976Citations per year
Abstract: (APS)
A general derivation of the two-scale-factor universality is given using the renormalized φ4 theory. As a consequence ten universal relations among critical amplitudes are obtained, any other universal relations being a combination of them. The situation is shown to be the same as for the scaling laws for critical exponents. The calculations up to order ε2 for systems with continuous symmetry are performed for some of these relations such as the specific-heat amplitudes ratio and Rξ+, which relates the amplitudes of the correlation length and of the specific heat, etc. Comparison with experiments and series results and, in particular, the discussion of the superfluid helium and RbMnF3 cases, are repeated with our improved numerical results.References(43)
Figures(0)