8th Liquid Matter Conference September 6-10, 2011 Wien, Austria ...

Wed 711:10-14:00P5.145Exact solution of the Percus-Yevick equation formulticomponent fluids of hard hyperspheresAndres Santos 1 and Rene Rohrmann 21 University of Extremadura, Depto. Fisica, Universidad de Extremadura, Avda. Elvas s/nE-06071, Badajoz, Spain2 Instituto de Ciencias Astronómicas, de la Tierra y del Espacio (ICATE-CONICET),San Juan, ArgentinaMixtures of hard hyperspheres in odd space dimensionalities are studied with an analytical approximationmethod. This technique is based on the so-called rational function approximation andprovides a procedure for evaluating equations of state, structure factors, radial distribution functions,and direct correlations functions of additive mixtures of hard hyperspheres with any numberof components and in arbitrary odd-dimension space. The method gives the exact solution ofthe Ornstein-Zernike equation coupled with the Percus-Yevick closure, thus extending Lebowitz’ssolution for hard-sphere mixtures to arbitrary odd dimension. Explicit evaluations for binary mixturesin five dimensions are performed. The results are compared with computer simulations and agood agreement is found.145