Shear viscosity of superfluid 3He–A1 at low temperatures

Abstract

The shear viscosity tensor of the

Spin Polarized Superfluid3He A1

“…Independent theoretical studies of the shear viscosity in the A 1 phase are in agreement with the experiments. 56,57) An independent shear viscosity measurement was made by Akimoto et al 58) with a torsional oscillator in magnetic fields below 12 T at various pressures below the melting pressure in a well controlledl l texture geometry. The temperature dependence at a given magnetic field was qualitatively similar to the Leiden results at melting pressure.…”

Quasiparticle relaxation rate and shear viscosity of superfluid -A1 at low temperatures

“…This can be considered as another result of the paper. Our results of quasiparticle relaxation rates can be used for calculation of other transport coefficients of superfluid He noted that s-approximation, s-p approximation, forward scattering approximation and so on [6,12] have been used to express the singlet and triplet QSA, although we here (and in [8,10]) have used Pfitzner procedure to calculate them. Of course, for a system as dense as He 3 there is no physical reason to expect the contribution from higher partial waves in QSA to be negligible.…”

Application of Boltzmann Equation on Spin Diffusion of Ferromagnetic Superfluid 3He: Near Critical Temperature

“…Experimental evidence can be presented showing Pfitzner procedure is preferable to s-p approximation. Actually, in viscosity calculations of the A 1 -phase of superfluid 3 He (both at low temperatures [23,24,26] and near T c↑ [25]), applying Pfitzner procedure gave rise to a result compatible with the experiment. This strengthens the idea that Pfitzner procedure serves the purpose of the present case of study better than s-p approximation does.…”

“…The transport properties such as the spin diffusion coefficients in the anisotropic A 1 -phase are highly desirable [6,22]. Some of transport coefficients of A 1 -phase have been derived both theoretically and experimentally; for example, viscosity at low temperatures and near critical temperature has been theoretically obtained [23][24][25][26] and a number of viscosity measurements have been carried out in a variety of high magnetic fields [27]. Also, thermal conductivity of A 1 -phase at low temperatures has been calculated theoretically, and as far as I am informed, there has been no data available about thermal conductivity of A 1 -phase [26,28,29] thus far.…”

“…'Bogoliubov quasiparticles') go to the superfluid state, and all quasiparticles with spin down stay in the normal state as presumed in Refs. [23][24][25][26][28][29][30][31]. In superfluids, unlike in the normal Fermi liquid, the number of quasiparticles is nonconservational.…”