Integral equations for the density profiles of infinitely polydisperse fluids at a hard wall

An extension of the singlet-level equations for the density profile to the case of adsorption of polydisperse fluids on solid surfaces is presented. E xplicit calculations and comparisons with canonical ensemble Monte Carlo da ta have been performed for a polydisperse hard sphere fluid in contact with a hard wall by using the Percus-Yevick, hypernetted chain, and a modified Verlet approximation. A numerical solution of the density profile equations makes use of the orthonormal polynomials with the weight function correspo nding to the distribution function of the diameters of fluid particles. (C) 1999 American Institute of Physics. [S0021-9606(99)50933-1].