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Osmotic virial coefficients

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Second virial coefficient[edit]

For an athermal polymer solution the osmotic second virial coefficient is given by:

B_2 =  \frac{1}{2} \iint f( \{ {\mathbf \Omega} \}) f( \{ {\mathbf \Omega}' \}) V_{\rm ex} ( \{ {\mathbf \Omega} \},\{ {\mathbf \Omega}' \}) d \{ {\mathbf \Omega} \} d \{ {\mathbf \Omega}' \}

where V_{\rm ex} ( \{ {\mathbf \Omega} \},\{ {\mathbf \Omega}' \}) is the excluded volume for two polymers with conformations \{ {\mathbf \Omega} \} and \{ {\mathbf \Omega}'\}. The curly braces denotes an ensemble of molecular configurations for a single polymer.