RSOZ for polydisperse systems: Difference between revisions

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For a polydisperse fluid, composed of <math>n_f</math> components, in a polydisperse matrix,
#REDIRECT [[RSOZ#Polydisperse systems]]
composed of <math>n_m</math> components, written in matrix form in Fourier space (see Eq. 18 of Ref. 1):
 
:<math>\tilde H_{mm} = \tilde C_{mm} + \rho_m \tilde C_{mm} \tilde H_{mm}</math>
 
 
:<math>\tilde H_{fm} = \tilde C_{fm} + \rho_m \tilde C_{mm} \tilde H_{fm} + \rho_f  \tilde C_{fm}  \tilde H_{ff} - \rho_f \tilde C_{12}    \tilde H_{fm} </math>
 
 
:<math>\tilde H_{ff} = \tilde C_{ff} + \rho_m \tilde C_{fm}^T \tilde H_{fm} + \rho_f  \tilde C_{ff}  \tilde H_{ff} - \rho_f \tilde C_{12}  \tilde H_{12}</math>
 
 
:<math>\tilde H_{12} = \tilde C_{12} + \rho_m \tilde C_{fm}^T \tilde H_{fm} + \rho_f  \tilde C_{ff}  \tilde H_{12} +
\rho_f  \tilde C_{12}  \tilde H_{ff} -2 \rho_f \tilde C_{12}  \tilde H_{12}</math>
 
 
Note: <math>c_{fm} = c_{mf}^T</math> and <math>h_{fm} = h_{mf}^T</math>.
 
(PD. I am not sure about the equation <math>\tilde H_{fm}</math> )
 
==References==
#[http://dx.doi.org/10.1080/0026897031000085128 S. Jorge;  Elisabeth Schöll-Paschinger;  Gerhard Kahl; María-José Fernaud "Structure and thermodynamic properties of a polydisperse fluid in contact with a polydisperse matrix", Molecular Physics '''101''' pp. 1733-1740 (2003)]
 
[[Category: Integral equations]]

Latest revision as of 16:40, 10 July 2007