Analytical solution of the Yukawa closure of the Ornstein-Zernike equationIII: the one-component case

A new general form of the multi-Yukawa closure of the Ornstein-Zernike equa tion is discussed for the case of one component and two exponentials. This closure is given in terms of a diagonal scaling matrix Gamma. If we are dea ling with a pure fluid then the general form of the closure is 2 pi K-n[X-(n)](2) + z(n)beta((n))[1 + rho Sigma(m) 1/z(n)+z(m) beta((m))] = 0 where beta((m)) is obtained by solving a linear matrix equation [GRAPHICS] where the matrix M-m depends only on z(n) and Gamma((nn)). Explicit expessi ons for the excess thermodynamic functions are also found.