Renormalization group and the epsilon expansion of the He II superfluid density

Journal Article · Tue Dec 01 00:00:00 EST 1981 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.24.6312· OSTI ID:5795168

Calvo, M

The functional-steepest-descent method is applied to evaluate the Landau-Ginzburg-Wilson, homogeneous and isotropic functional integral describing the partition function of He II near the lambda point, by considering coordinate-dependent mean-field configurations, corresponding to flowing superfluid metastable states with velocity ..nu.., and developing the loop expansion about it. The free-energy density is obtained to the one-loop approximation and this result is then combined with the renormalization-group equations and the epsilon expansion to obtain an expression for the superfluid density, which has the general scaling form rho/sub s/ = t/sup 2beta-nueta/f(..nu../sup 2//t/sup 2nu/) in which t = T/sub c/-T and where the function f(..nu../sup 2//t/sup 2nu/) is computed to order epsilon. In the limit of small superfluid velocities ..nu.. the Josephson relation is recovered.

• Research Organization: Centro de Fisica, Instituto Venezolano de Investigaciones Cientificas, Apartado Postal 1827, Caracas 1010 A, Venezuela
• OSTI ID: 5795168
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Vol. 24:11
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HELIUM II
FREE ENERGY
GINZBURG-LANDAU THEORY
PARTITION FUNCTIONS
DENSITY
ENERGY DENSITY
RENORMALIZATION
SUPERFLUIDITY
ENERGY
EVEN-EVEN NUCLEI
FLUIDS
FUNCTIONS
HELIUM 4
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
NUCLEI
PHYSICAL PROPERTIES
QUANTUM FLUIDS
STABLE ISOTOPES
THERMODYNAMIC PROPERTIES
640450* - Fluid Physics- Superfluidity