RSOZ for polydisperse systems

For a polydisperse fluid, composed of $n_f$ components, in a polydisperse matrix, composed of $n_m$ components, written in matrix form in Fourier space (see Eq. 18 of Ref. 1):

${\tilde{H}}_{mm}={\tilde{C}}_{mm}+{\rho }_m{\tilde{C}}_{mm}{\tilde{H}}_{mm}$

${\tilde{H}}_{fm}={\tilde{C}}_{fm}+{\rho }_m{\tilde{C}}_{mm}{\tilde{H}}_{fm}+{\rho }_f{\tilde{C}}_{fm}{\tilde{H}}_{ff}-{\rho }_f{\tilde{C}}_{12}{\tilde{H}}_{fm}$

${\tilde{H}}_{ff}={\tilde{C}}_{ff}+{\rho }_m{\tilde{C}}_{fm}^T{\tilde{H}}_{fm}+{\rho }_f{\tilde{C}}_{ff}{\tilde{H}}_{ff}-{\rho }_f{\tilde{C}}_{12}{\tilde{H}}_{12}$

${\tilde{H}}_{12}={\tilde{C}}_{12}+{\rho }_m{\tilde{C}}_{fm}^T{\tilde{H}}_{fm}+{\rho }_f{\tilde{C}}_{ff}{\tilde{H}}_{12}+{\rho }_f{\tilde{C}}_{12}{\tilde{H}}_{ff}-2{\rho }_f{\tilde{C}}_{12}{\tilde{H}}_{12}$

Note: $c_{fm}=c_{mf}^T$ and $h_{fm}=h_{mf}^T$.

(PD. I am not sure about the equation ${\tilde{H}}_{fm}$ )

References

1. S. Jorge; Elisabeth Schöll-Paschinger; Gerhard Kahl; María-José Fernaud "Structure and thermodynamic properties of a polydisperse fluid in contact with a polydisperse matrix", Molecular Physics 101 pp. 1733-1740 (2003)