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Transport properties in the normal phase

See also the source file: he3_transp_n.f.

Library functions

Crossections and scattering factors:

he3_scatt_w(P) Scattering crossection ${<}W{>}$ (Einzel-1978, f.82)
he3_scatt_wi(P) ${<}W_I{>}$ (Einzel-1978, f.82)
he3_scatt_wd(P) ${<}W_D{>}$ (Einzel-1978, f.82)
he3_scatt_wl(P) ${<}W_L{>}$ (Einzel-1978, f.71)
he3_scatt_g0(P) Scattering factor $\gamma_0 = {<}W_I{>}/{<}W{>}$ (Einzel-1978, f.66)
he3_scatt_d0(P) Scattering factor $\delta_0 = {<}W_D{>}/{<}W{>}$ (Einzel-1978, f.67)
he3_scatt_w0(P) $w_0 = 1 - 3/2 \gamma_0 + \delta_0$ (Einzel-1978, f.79)
he3_scatt_l1a(P) Scattering factor $\lambda_1^a$ used in spin diffusion transport time. Has a very small effect. (Einzel-1978, f.74, p.350).
he3_tau_n0(ttc,p) Normal state quasiparticle lifetime at the Fermi level, s.
$\tau_N(0,T) = \tau_N(0,T_c) \left(\frac{T_c}{T}\right)^2 = \frac{32 E_F\hbar}{{<}W{>}(\pi k_B T)^2}$ (Einzel-1991, p.325)
he3_tau_n_av(ttc,p) Thermal average of normal state quasiparticle lifetime, [s].
$\bar\tau_N = \left<\frac{\tau_N(0,T)}{1+(\xi_k/\pi T)^2}\right> = \frac34 \tau_N(0,T)\quad$ (Einzel-1991, f.4-5)
he3_tau_nd(ttc,p) Spin diffusion transport time for a normal Fermi-liquid, [s]
$\tau_{ND} = \tau_1 = \bar\tau_N/(1-\lambda_1^a)\quad$ (Einzel-1991, p.328)
he3_diffn_hydr(ttc,p) Hydrodynamic spin diffusion in normal liquid, $D_0$ [cm$^2$/s]. Einzel JLTP84 (1991) f.23)
he3_diffn_perp(ttc,p,nu0) Perpendicular component of spin diffusion, reduced because of the Leggett-Rice effect, $D_N^\perp$ [cm$^2$/s]. (Einzel JLTP84 (1991) f.22)

TODO: Temperature is measured in $T_c$ units which is strange for the normal phase. Maybe it is better to use K of $T_F$ units here.