Wertheim's first order thermodynamic perturbation theory (TPT1): Difference between revisions

Revision as of 17:56, 18 July 2007

Z_{T P T 1} = \frac{p}{ρ k_{B} T} = m Z_{m o n o m e r} - (m - 1) (1 + ρ_{m o n o m e r} \frac{\partial \ln g (σ)}{\partial ρ_{m o n o m e r}})

where $Z_{m o n o m e r}$ is the equation of state of the monomer system and m is the number of monomers in the chains.

For example, in the study of the flexible hard sphere chain model one can use the Carnahan-Starling equation of state for $Z_{m o n o m e r}$ , leading to

Z_{F H S C} = m \frac{1 + η + η^{2} - η^{3}}{(1 - η)^{3}} - (m - 1) \frac{1 + η - (η^{2} / 2)}{(1 - η) (1 - η / 2)}

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 For example, in the study of the [[Flexible hard sphere chains | flexible hard sphere chain]] model one can use the
-[[Carnahan-Starling equation of state]] for <math>Z_{\rm monomer}</math>, leadin to
+[[Carnahan-Starling equation of state]] for <math>Z_{\rm monomer}</math>, leading to
 :<math>