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

Revision as of 17:56, 18 July 2007

Z_{\rm {TPT1}}={\frac {p}{\rho k_{B}T}}=mZ_{\rm {monomer}}-(m-1)\left(1+\rho _{\rm {monomer}}{\frac {\partial \ln {\rm {g}}(\sigma )}{\partial \rho _{\rm {monomer}}}}\right)

where $Z_{\rm {monomer}}$ 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 $Z_{\rm {monomer}}$ , leading to

Z_{\rm {FHSC}}=m{\frac {1+\eta +\eta ^{2}-\eta ^{3}}{(1-\eta )^{3}}}-(m-1){\frac {1+\eta -(\eta ^{2}/2)}{(1-\eta )(1-\eta /2)}}

@@ Line 4: / Line 4: @@
 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>