Weeks-Chandler-Andersen perturbation theory: Difference between revisions

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\Phi_{\rm repulsive} (r) = \left\{  
\Phi_{\rm repulsive} (r) = \left\{  
\begin{array}{ll}
\begin{array}{ll}
u_{\rm LJ}(r) + \epsilon & {\rm if} \; r < 2^{1/6}\sigma \\
\Phi_{\rm LJ}(r) + \epsilon & {\rm if} \; r < 2^{1/6}\sigma \\
0 &  {\rm if} \; r \ge 2^{1/6}\sigma  
0 &  {\rm if} \; r \ge 2^{1/6}\sigma  
\end{array} \right.
\end{array} \right.
Line 18: Line 18:
\begin{array}{ll}
\begin{array}{ll}
-\epsilon & {\rm if} \; r < 2^{1/6}\sigma \\
-\epsilon & {\rm if} \; r < 2^{1/6}\sigma \\
u_{\rm LJ}(r) &  {\rm if} \; r \ge 2^{1/6}\sigma  
\Phi_{\rm LJ}(r) &  {\rm if} \; r \ge 2^{1/6}\sigma  
\end{array} \right.
\end{array} \right.
</math>
</math>

Revision as of 14:25, 21 June 2007

The Weeks-Chandler-Anderson perturbation theory is based on the following decomposition of the intermolecular pair potential (in particular, the Lennard-Jones potential ):

The reference system pair potential is given by (Eq, 4 Ref. 1):

and the perturbation potential is given by (Eq, 5 Ref. 1):

References

  1. John D. Weeks, David Chandler and Hans C. Andersen "Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids", Journal of Chemical Physics 54 pp. 5237-5247 (1971)