Viscosity and Thermal Conductivity of Superfluid <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">He</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>3</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math></span>: Low-Temperature Limit

C. J. Pethick; H. Smith; P. Bhattacharyya

doi:10.1103/PhysRevLett.34.643

Viscosity and Thermal Conductivity of Superfluid ${}^{3}{He}$ : Low-Temperature Limit

C. J. Pethick, H. Smith, and P. Bhattacharyya

Phys. Rev. Lett. 34, 643 – Published 17 March 1975

Abstract

We calculate the viscosity $η$ and diffusive thermal conductivity $κ_{D}$ of the Balian-Wert-hamer state of a $p$ -wave superfluid for $T ≪ T_{c}$ . The nature of the excitations in the superfluid state is fully taken into account, and realistic effective interactions are used. $η$ tends to a constant, $\sim \frac{1}{4} η (T_{c})$ for liquid ${}^{3}{He}$ , and $κ_{D} \sim T^{- 1}$ . Mean free paths are also calculated.