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Second virial-coefficient of the D-dimensional hard Gaussian overlap model

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1991

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Elsevier
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Exact analytical expressions for the excluded volume and the second virial coefficient of the D-dimensional hard Gaussian overlap model are obtained. The functional form of the excluded volume is proven to be independent of D provided D greater-than-or-equal-to 2. The second virial coefficient is given in terms of a hypergeometric function but alternative formulas for some particular values of D are also reported.

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© 1991 Elsevier Science Publishers B.V. This work has been supported by a grant from the Dirección General de Investigación Científica y Técnica (Spain) under no. PB88-0140. We thank M. Baus for useful suggestions.

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