Spin Diffusion in Dilute -He II Mixtures at Elevated Pressures in the Semiclassical Regime
Phys. Rev. A 3, 1060 – Published 1 March, 1971
DOI: https://doi.org/10.1103/PhysRevA.3.1060
Abstract
Measurements of the spin-diffusion coefficient in dilute -He II mixtures are presented. The thermodynamic parameters of the samples are varied within the following limits: °K, atm, mole/. It is shown that all samples considered are within the limits of the semiclassical regime. The data are analyzed by considering the reciprocal of the diffusion to be the sum of two parts: , where is an experimental measurement at (), is the -independent spin diffusion of a quasiparticle as limited by interactions with rotons, and is the spin diffusion of a quasiparticle limited by interactions with other quasiparticles. Since is independent of , and is shown to be proportional to , a least-squares fit of the data to the above equation gives the experimentally determined values of and . A comparison of with the theoretical expression gives directly the moment of the effective - interaction measured by spin diffusion in the semiclassical regime: , where , , and are constants. The measurements are insufficient to determine uniquely. Calculations using an assumed interaction (which reduces to the interaction used by Ebner at saturated vapor pressure) show a remarkable similarity to the experimental data.