The diffusion of {sup 4}He in {sup 3}He in the Fermi liquid region

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Bulletin of the American Physical Society

OSTI ID:374910

Culman, T

The diffusion coefficient D and the thermal diffusion ratio k{sub T}, for {sup 4}He in liquid {sup 3}He at low temperatures T have been calculated by solving the Boltzmann equation derived from Fermi-liquid theory. As T {yields} 0, k{sub T} approaches a constant and D varies as l/T; and both are determined solely by a{sup 34}{sub 0}, the l = 0 forward scattering amplitude. Since a{sup 34}{sub 0} can be found from thermodynamics, a strict test of the theory can be made without any assumptions about the dependence of the scattering amplitude on the momentum transfer, making {sup 4}He in {sup 3}He unique among applications of Fermi-liquid theory. At finite temperatures, the deviations from the T{yields}0 values of DT and k{sub T} are proportional to T/T{sub F}, and are determined by the momentum dependence of the scattering amplitude. An experimental apparatus has been built to simultaneously measure D and the solubility of {sup 4}He in {sup 3}He as functions of pressure and temperature. The solubility measurements will provide the necessary thermodynamic data to predict the value of D.

• OSTI ID: 374910
• Report Number(s): CONF-9304297--
• Journal Information: Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 2 Vol. 40; ISSN 0003-0503; ISSN BAPSA6
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FERMI GAS
HELIUM 3
HELIUM 4
MIXTURES
THERMAL DIFFUSION