Exact solution of the Percus-Yevick equation for a hard-core fluid in odd dimensions
It is shown that the Percus-Yevick integral equation for the pair distribution function of a fluid interacting with a hard-core potential can be solved not only in one and three dimensions, where the solution is well known, but more generaly in all odd dimensions. The nonlinear integral equation is reduced to an algebraic equation of order d-3 for odd dimensions d greater than three. As an example the direct correlation function in five dimensions is derived explicitly.
scientific article; zbMATH DE number 3968107
scientific article