# Pseudo hard sphere potential

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The **pseudo hard sphere potential** (PHS) ^{[1]} is a piecewise continuous variant of the Mie potential, which is "cut-and-shifted" according to the Weeks-Chandler-Andersen recipe. The potential is given by (Eq. 9):

Molecular dynamics simulations of this idealised model, when performed at a reduced temperature of 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.

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