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 Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle 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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sigma} and energy Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2\epsilon} at infinite dilution in the bulk a-monomers:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h_{a2}(r) - c_{a2}(r) = \int h_{aa} (r')~\rho_a ~c_{a2}(|r - r'|) dr'}

For a coincident trimer (Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n=3} ) of size Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sigma} and energy Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3\epsilon} at infinite dilution in the bulk a-monomers:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h_{a3}(r) - c_{a3}(r) = \int h_{aa} (r')~\rho_a ~c_{a3}(|r - r'|) dr'}