On the viscosities and normal fluid densities of the A1 and A2 phases of liquid3He

Shear viscosity of superfluid 3He–A1 at low temperatures

“…The calculation of shear viscosity for − 1 A phase, in nonzero magnetic field, has turned out to be more complicated than that for the other phases, due to the anisotropy of the gap. In high magnetic field, strong coupling effect must be considered for maximum gap parameter, and on normal fluid density components of the A 1 and A 2 phases of liquid He 3 [10]. The viscosity, in the presence of a magnetic field has been considered by Shahzamanian close to T c in relaxation time approximation [10].…”

“…In high magnetic field, strong coupling effect must be considered for maximum gap parameter, and on normal fluid density components of the A 1 and A 2 phases of liquid He 3 [10]. The viscosity, in the presence of a magnetic field has been considered by Shahzamanian close to T c in relaxation time approximation [10]. Shahzamanian and Afzali [11] calculated the shear viscosity of A 1phase close to T c , considering superfluid-normal interaction along with other interactions for binary, decay and coalescence processes of quasiparticles, and we also moved beyond s-p approximation by the use of Pfitzner procedure.…”

Shear viscosity of the A1-phase of superfluid3He

“…The viscosity of the A-phase, in zero magnetic field, has been calculated exactly for temperatures close to T c by Bhattacharyya et al [5] and Pethick et al [6], and the viscosity in the presence of a magnetic field has been considered by Shahzamanian [7]. The results of Bhattacharyya et al and Pethick et al on the viscosity drop as (1 − T T c ) 1/2 for temperatures close to T c and the exact coefficient of (1 − T T c ) 1/2 has been expressed as a function of normal state properties.…”

Transport and relaxation properties of superfluid 3He. II. Viscosity, thermal conductivity, and relaxation of the normal fluid density

“…Assuming the velocity field along the x axis and its gradient along Y, the kinetic equation has the form ~v pyc/y .., i , i~ p~v~f. = -~~pSup + It, (5) g 8u'p is seen to be an odd function of ~:p, and I N is consequently given by Eq.…”

“…Approximate solutions may be generated in two ways. The more common method is the variational solution of the kinetic equation (5). It may be shown by standard methods that the coefficient of shear viscosity is bounded from below by d~2 fl~2 C (~l, ~2)xlr(~2) ] } -1 (6) where C(~, r…”