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:<math>h_{an}(r) - c_{an}(r) = \int h_{aa} (r')~\rho_a ~c_{an}(|r - r'|) dr'~~~~~n=a,2,3,...</math> | :<math>h_{an}(r) - c_{an}(r) = \int h_{aa} (r')~\rho_a ~c_{an}(|r - r'|) dr'~~~~~n=a,2,3,...</math> | ||
Since all oligomers are at infinite dilution, the OZ's for all | Since all oligomers are at infinite dilution, the OZ's for all <math>n>1</math> are decoupled. The first member is for the bulk monomer fluid ''a'' (with size <math>\sigma</math> and | ||
energy <math>\epsilon</math>) | energy <math>\epsilon</math>) | ||
Revision as of 15:57, 21 February 2007
The Ornstein-Zernike equations for mixtures of monomers with coincident oligomers (coincident dimers, trimers,...,n-mers).
- 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_{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 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 \epsilon} )
- 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_{aa}(r) - c_{aa}(r) = \int h_{aa} (r')~\rho_a ~c_{aa}(|r - r'|) dr'}
For a coincident dimer (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=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 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: