Cuesta, J. A.Fernández Tejero, Carlos2023-06-202023-06-201991-01-07[1] B.M. Mulder and D. Frenkel, Mol. Phys. 55 (1985) 1193. [2] U.P. Singh and Y. Singh, Phys. Rev. A 33 (1986) 2725. [3] D. Frenkel and B.M. Mulder, Mol. Phys. 55 (1985) 1171. [4] M. Baus, J.L. Colot, X.G.Wu and H. Xu, Phys. Rev. Lett. 59 (1987) 2184; J. L. Colot, X.G.Wu and H. Xu and M. Baus, Phys. Rev. A 38, (1988) 2022. [5] U. P. Singh, U. Mohanty and Y. Singh, Phys. Rev. A 38 (1988) 4377. [6] J.A. Cuesta, C.F. Tejero and M. Baus, Phys. Rev. A 39 (1989) 6498. [7] J.A. Cuesta and D. Frenkel, to appear in Phys. Rev. A. [8] T. Boublik and I. Nezbeda, Collect. Czech. Chem. Commun. 51 (1986) 2301. [9] J. Vieillard-Baron, J. Chem. Phys. 56 (1972) 4729. [10] J.W. Perram and M.S. Wertheim, J. Comput. Phys. 58 (1985)409. [11] B.J. Berne and P. Pechukas, J. Chem. Phys. 56 (1972) 4213. [12] J.G. Gay and B.J. Berne, J. Chem. Phys. 74 (1981) 3316. [13] J. Tobochnik and G.V. Chester, Phys. Rev. A 27 (1983) 1221. [14] V.R. Bethanabotla and W.A. Steele, Mol. Phys. 60 (1987) 249. [15] M. Rigby, Mol. Phys. 68 (1989) 687. [16] T.P. Singh, J.P. Sinha and S.K. Sinha, Pramana 31(1988) 289. [17] I.S. Gradshteyn and I.M. Ryzhik, Table of integrals, series and products (Academic Press, New York, 1980).0375-960110.1016/0375-9601(91)90620-Nhttps://hdl.handle.net/20.500.14352/58895© 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.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.engjournal articlehttp://dx.doi.org/10.1016/0375-9601(91)90620-Nhttp://www.sciencedirect.com/restricted access536Isotropic-nematic transitionOf-revolution fluidMolecular theoryellipsoidsTermodinámica2213 Termodinámica