Osmotic virial coefficients: Difference between revisions

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(New page: ==Second virial coefficient== For an athermal polymer solution the osmotic second virial coefficient is given by: :<math>B_2 = \frac{1}{2} \iint f( \{ {\mathbf \Omega} \}) f( \{ {\ma...)
 
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:<math>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}' \}</math>
:<math>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}' \}</math>
where <math>V_{\rm ex} ( \{ {\mathbf \Omega} \},\{ {\mathbf \Omega}' \})</math> is the [[excluded volume]] for two polymers
with conformations <math>\{ {\mathbf \Omega} \}</math> and <math>\{ {\mathbf \Omega}'\}</math>. The curly braces denotes an ensemble of molecular configurations for a single polymer.
==References==
==References==
[[categroy: virial coefficients]]
[[category: Virial coefficients]]

Revision as of 14:15, 13 August 2007

Second virial coefficient

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

where is the excluded volume for two polymers with conformations and . The curly braces denotes an ensemble of molecular configurations for a single polymer.

References