Comment on the pair correlation function in an inhomogeneous liquid: A test of the Fischer approximation

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Abstract
Using the results of Monte Carlo simulations of cesium, we demonstrate that the simple point local density approximation is inaccurate in predicting the behavior of the transverse pair correlation function in the liquid–vapor interface of a simple metal. Our calculations demonstrate that a local density approximation, such as the one proposed by Fischer and Methfessel, which uses the point density averaged over a region the size of the ion, more accurately describes the behavior of the transverse pair correlation function.