Editing Wertheim's first order thermodynamic perturbation theory (TPT1)
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:<math>Z_{\rm TPT1} = \frac{p}{\rho k_BT}= mZ_{\rm monomer}- (m-1)\left( 1 + \rho_{\rm monomer}\frac{\partial \ln {\rm g}(\sigma)}{\partial \rho_{\rm monomer}}\right)</math> | :<math>Z_{\rm TPT1} = \frac{p}{\rho k_BT}= mZ_{\rm monomer}- (m-1)\left( 1 + \rho_{\rm monomer}\frac{\partial \ln {\rm g}(\sigma)}{\partial \rho_{\rm monomer}}\right)</math> | ||
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For example, in the study of the [[Flexible hard sphere chains | flexible hard sphere chain]] model one can use the | 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>, | [[Carnahan-Starling equation of state]] for <math>Z_{\rm monomer}</math>, leadin to | ||
:<math> | :<math> | ||
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)} | 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)} | ||
</math> | </math> | ||
==See also== | ==See also== | ||
*[[SAFT]] | *[[SAFT]] | ||
==References== | ==References== | ||
#[http://dx.doi.org/10.1007/BF01017362 M. S. Wertheim "Fluids with highly directional attractive forces. I. Statistical thermodynamics" Journal of Statistical Physics '''35''' pp. 19-34 (1984)] | |||
#[http://dx.doi.org/10.1007/BF01017363 M. S. Wertheim "Fluids with highly directional attractive forces. II. Thermodynamic perturbation theory and integral equations" Journal of Statistical Physics '''35''' pp. 35-47 (1984)] | |||
#[http://dx.doi.org/10.1007/BF01127721 M. S. Wertheim "Fluids with highly directional attractive forces. III. Multiple attraction sites" Journal of Statistical Physics '''42''' pp. 459-476 (1986)] | |||
#[http://dx.doi.org/10.1007/BF01127722 M. S. Wertheim "Fluids with highly directional attractive forces. IV. Equilibrium polymerization" Journal of Statistical Physics '''42''' pp. 477-492 (1986)] | |||
#[http://dx.doi.org/10.1063/1.453326 M. S. Wertheim "Thermodynamic perturbation theory of polymerization", Journal of Chemical Physics '''87''' pp. 7323-7331 (1987)] | |||
[[category:perturbation theory]] | [[category:perturbation theory]] |