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The direct correlation function of a Huid of aligned planar hard convex orientable bodies is determined exactly using a simple form for the separation of the centers at contact. An approximate analytical proposal for the direct correlation funct[...]texto impreso
Cuesta, J. A. ; Fernández Tejero, Carlos ; Xu, H. ; Baus, Marc | American Physical Society | 1991-10-15Recent attempts to generalize the classical Onsager theory of nematic ordering to finite-density systems of finite-length hard convex bodies are related and compared. It is pointed out that, although good results can be obtained in three-dimensi[...]texto impreso
We apply the differential formulation of the generalized effective liquid approximation to the study of hard-sphere and hard-disk freezing. We show that the thermodynamic properties of the solid phase are rather insensitive to the compressibilit[...]texto impreso
Density-functional theory within the effective-liquid approximation is applied to the problem of the isotropic-nematic transition of D-dimensional hard convex bodies. It is shown that the free-energy functional factorizes into its radial and ang[...]texto impreso
The orientational freezing of a system of hard ellipses, as a first approximation for a nematogen adsorbed on a smooth substrate, is studied with the aid of an approximate density-functional theory used previously for the study of hard ellipsoid[...]texto impreso
The inverse two-spin correlation function of a one-dimensional three-state Potts lattice with constant nearest-neighbor interactions in a uniform external field is derived exactly. It is shown that the external field induces long-range correlati[...]texto impreso
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-[...]
