Universality and the scaling laws in the superfluid phase transition of /sup 3/He-/sup 4/He mixtures

Journal Article · Wed Dec 01 04:00:00 EST 1976 · J. Low Temp. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00657289· OSTI ID:7327590

Terui, G

From the second-sound velocity U/sub 2/ near the superfluid transition point, the superfluid densities in /sup 3/He-/sup 4/He mixtures, rho/sub s/(X) and rho/sub s/(phi), were deduced along the paths of constant /sup 3/He concentration X and of constant chemical potential difference phi of /sup 3/He and /sup 4/He. The following critical exponents of rho/sub s/ are determined: (a) zeta = zeta/sub xx/ for rho/sub s/(X) in the (X, T) plane, (b) zeta/sub phi x/ for rho/sub s/(X) in the (phi, T) plane, and (c) zeta/sub phi phi/ for rho/sub s/(phi) in the (phi, T) plane. It is found that zeta/sub phi phi/ and zeta/sub phi x/ change by about 4-6 percent relative to zeta with increasing /sup 3/He concentration up to X = 0.4 and by 8-10 percent up to X = 0.53. It seems that, below X = 0.53, universality holds for zeta/sub phi phi/. Values of zeta/sub phi phi/ have been found to be in good agreement with the critical exponent of rho/sub s/ in pure /sup 4/He under constant pressure. The values of zeta/sub phi phi/ and zeta/sub phi x/ for X less than or equal to 0.53 are also found to be consistent with the scaling relations in the (phi, T) plane of /sup 3/He-/sup 4/He mixture.

• Research Organization: National Defense Academy, Yokosuka, Japan
• OSTI ID: 7327590
• Journal Information: J. Low Temp. Phys.; (United States), Journal Name: J. Low Temp. Phys.; (United States) Vol. 25:5/6; ISSN JLTPA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BINARY MIXTURES
DISPERSIONS
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
HELIUM 3
HELIUM 4
HELIUM II
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MIXTURES
NUCLEI
PHASE TRANSFORMATIONS
SCALING LAWS
SECOND SOUND
STABLE ISOTOPES
SUPERFLUIDITY