Transport Coefficients of a Normal Fermi Liquid: Application to LiquidHe3

The transport coefficients of a normal Fermi liquid in the extreme low-temperature limit and the leading finite-temperature contributions to the transport coefficients are studied using the quasiparticle transport equation. The scattering amplitude for quasiparticles on the Fermi surface is expressed in terms of Landau parameters, using an approximation which takes into account $s$- and $p$-wave scattering; the calculated values of the transport coefficients in the extreme low-temperature limit for liquid ${\mathrm{He}}^3$ are shown to be in good agreement with the experimental values. Finite-temperature contributions to the transport coefficients are expressed in terms of the solution of the transport equation in the extreme low-temperature limit, and explicit calculations are performed for the case of liquid ${\mathrm{He}}^3$. Assuming Landau parameters with $l\ge 2$ vanish, an estimate of the Landau parameter $F_1^{}{}_{}{}^a$ for liquid ${\mathrm{He}}^3$ is obtained by comparing the theoretical and experimental values of the leading finite-temperature contributions to the transport coefficients.