MOZ

The Ornstein-Zernike equations for mixtures of monomers with coincident oligomers (coincident dimers, trimers,...,n-mers).

$h_{an}(r)-c_{an}(r)=\int h_{aa}(r')~\rho _{a}~c_{an}(|r-r'|)dr'~~~~~n=a,2,3,...$

Since all oligomers are at infinite dilution, the OZ's for all $n>1$ are decoupled. The first member is for the bulk monomer fluid a (with size $\sigma$ and energy $\epsilon$)

$h_{aa}(r)-c_{aa}(r)=\int h_{aa}(r')~\rho _{a}~c_{aa}(|r-r'|)dr'$

For a coincident dimer ($n=2$) of size $\sigma$ and energy $2\epsilon$ at infinite dilution in the bulk a-monomers:

$h_{a2}(r)-c_{a2}(r)=\int h_{aa}(r')~\rho _{a}~c_{a2}(|r-r'|)dr'$

For a coincident trimer ($n=3$) of size $\sigma$ and energy $3\epsilon$ at infinite dilution in the bulk a-monomers:

$h_{a3}(r)-c_{a3}(r)=\int h_{aa}(r')~\rho _{a}~c_{a3}(|r-r'|)dr'$