Study of the law of corresponding states of viscous properties of classical liquids

The law of corresponding states is studied for the coefficients of shear $\eta_S^*$ and volume $\eta_V^*$ viscosities of classical liquids ($\mathrm{Ar}$, $\mathrm{Kr}$, $\mathrm{Xe}$, $\mathrm{O}_2$, $\mathrm{N}_2$, $\mathrm{CH}_4$); the analytical expressions are derived on the basis of kinetic equations for one- and two-particle distribution functions. The reduced iso-frequency coefficients $\Phi(|\mathbf{r}|)$ and $g(|\mathbf{r}|)$ for liquid $\mathrm{Ar}$, $\mathrm{Kr}$, $\mathrm{Xe}$, $\mathrm{O}_2$, $\mathrm{N}_2$ and $\mathrm{CH}_4$ are numerically calculated in a wide range of variations at the reduced temperatures $T^*$ and densities $\rho^*$, which satisfy the law of corresponding states, at a definite choice of the intermolecular interaction potential $\eta_S^*$ and radial distribution function $\eta_V^*$.