High temperature expansion for the Gaussian core model

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Abstract
Exact series coefficients through eighth order are reported for the high temperature expansion of the Gaussian core model free energy. Although this expanison has a vanishing radius of convergence it can be summed by a Borel integral transform. It is demonstrated that this Borel transform has an intimate connection to ’’crystallites’’ in the stable fluid phase which causes it to display a replica of the distribution function for large crystallites. This last observation permits implementation of a transform subtractive procedure which generates metastable extensions of fluid properties into the supercooled regime below the thermodynamic freezing temperature.