Editing Pseudo hard sphere potential

The '''pseudo hard sphere potential''' (PHS) <ref>[http://dx.doi.org/10.1063/1.4754275  J. Jover, A. J. Haslam, A. Galindo, G. Jackson, and E. A. Müller "Pseudo hard-sphere potential for use in continuous molecular-dynamics simulation of spherical and chain molecules", Journal of Chemical Physics '''137''' 144505 (2012)]</ref> is a piecewise continuous variant of the [[Mie potential]], which is "cut-and-shifted" according to the [[Weeks-Chandler-Andersen perturbation theory| Weeks-Chandler-Andersen recipe]]. The potential is given by (Eq. 9):

:<math>
\Phi_{\rm 50,49} (r) = \left\{ 
\begin{array}{ll}
50 \left( \frac{50}{49} \right)^{49} \epsilon \left[ \left(\frac{\sigma}{r} \right)^{50}-  \left( \frac{\sigma}{r}\right)^{49} \right]
+ \epsilon & {\rm if} \; r < \frac{50}{49} \sigma \\
0 &  {\rm if} \; r \ge \frac{50}{49}  \sigma 
\end{array} \right.
</math>

[[Molecular dynamics]] simulations of this [[Idealised models |idealised model]], when performed at a [[reduced temperature]] of <math>T^*=1.5</math> reproduces results for the [[hard sphere model]] (for example, the [[Carnahan-Starling equation of state]]), which is
generally only amenable to [[Monte Carlo]] simulations, or advanced techniques such as [[Event-driven molecular dynamics]].
==References==
<references/>

[[category: Models]]