The second-order and fourth-order frequency sum rules of the velocity
autocorrelation function (VACF) of Rb have been evaluated for six ther
modynamic states along the liquid-vapour coexistence curve by using th
e Ashcroft pseudopotential and corresponding pair distribution functio
n obtained by molecular dynamics (MD) simulation. These sum rules and
a model for the self-diffusion coefficient have been used to study the
time evolution of the VACF and self-diffusion coefficients. The resul
ts obtained have been compared with MD simulation data. It is found th
at our model provides the first semiquantitative explanation for the d
ensity and temperature dependences of the VACF and self-diffusion coef
ficients of expanded Rb.