  This work is devoted to the investigation of transport and optical properties
of liquid aluminum in the two-temperature case. At first optical properties,
static electrical and thermal conductivities were obtained in the \textit{ab
initio} calculation. The \textit{ab initio} calculation is based on the quantum
molecular dynamics, density functional theory and the Kubo-Greenwood formula.
The semiempirical approximation was constructed based on the results of the
\textit{ab initio} caculation. The approximation yields the dependences
$\sigma_{1_\mathrm{DC}}\propto1/T_i^{0.25}$ and $K\propto T_e/T_i^{0.25}$ for
the static electrical conductivity and thermal conductivity, respectively. The
approximation is valid for liquid aluminum at $\rho=2.70$~g/cm$^3$, 3~kK~$\leq
T_i\leq T_e\leq20$~kK. Our results are well described by the Drude model with
the effective relaxation time $\tau\propto T_i^{-0.25}$. We have compared our
results with a number of other models. They are all reduced in the
low-temperature limit to the Drude model with different expressions for the
relaxation time $\tau$. Our results are not consistent with the models in which
$\tau\propto T_i^{-1}$ and support the models which use the expressions with
the slower decrease of the relaxation time.
