Nonlinear renormalization-group analysis of the thermal conductivity of /sup 4/He for T> or =T/sub lambda/

Journal Article · Mon Mar 01 04:00:00 EST 1982 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.25.3136· OSTI ID:5232262

Ahlers, G; Hohenberg, P C; Kornblit, A

The thermal conductivity of /sup 4/He above the superfluid transition is analyzed using nonlinear renormalization-group recursion relations. Experimental data are presented over a wide temperature range and for various pressures. The dynamic coupling constant far from T/sub lambda/ is a small parameter which leads to the possibility of a rigorous test of the theory in a region where perturbation theory is valid. Closer to T/sub lambda/ the system crosses over to the scaling regime at a reduced temperature t/sub c/roughly-equal10/sup -3/, whose smallness results from the weak dynamic coupling far from T/sub lambda/. Detailed tests of the theory are presented over the whole temperature range above T/sub lambda/, and consistency is found with the asymmetric-spin model (F) of Halperin, Hohenberg, and Siggia. The symmetric model (E), on the other hand, shows significant deviations from the data. The analysis implies a value d*< or approx. =2.6 for the dimensionality below which dynamic scaling breaks down. This value is lower than earlier estimates (d*roughly-equal3).

• Research Organization: Bell Laboratories, Murray Hill, New Jersey 07974
• OSTI ID: 5232262
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 25:5; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DATA
EVEN-EVEN NUCLEI
EXPERIMENTAL DATA
GROUP THEORY
HELIUM 4
HELIUM ISOTOPES
INFORMATION
ISOTOPES
LEAST SQUARE FIT
LIGHT NUCLEI
MATHEMATICS
MAXIMUM-LIKELIHOOD FIT
NONLINEAR PROBLEMS
NUCLEI
NUMERICAL DATA
NUMERICAL SOLUTION
PERTURBATION THEORY
PHYSICAL PROPERTIES
PRESSURE DEPENDENCE
RECURSION RELATIONS
RELAXATION
RENORMALIZATION
SCALING LAWS
STABLE ISOTOPES
SUPERFLUIDITY
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES