Viscosity and Thermal Conductivity of SuperfluidHe3: Low-Temperature Limit

Abstract

We calculate the viscosity $\eta$ and diffusive thermal conductivity ${\kappa }_D$ of the Balian-Wert-hamer state of a $p$-wave superfluid for $T\ll T_c$. The nature of the excitations in the superfluid state is fully taken into account, and realistic effective interactions are used. $\eta$ tends to a constant, $\sim \frac{1}{4}\eta \left(T_c\right)$ for liquid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$, and ${\kappa }_D\sim T^{-1\mathrm{}}$. Mean free paths are also calculated.