Mayer resummation

The numerical solution of the system of equations just described is feasible for ionic systems but troublesome because of the long range of the Coulomb forces. It is possible, however, to incorporate the Mayer resummation into the integral equation using the following procedure, due to Allnatt. ... 

It is noteworthy that the HNC equation as modified for ionic systems has exactly the same form as the standard HNC equation, while the modified PY equation is significantly different. In both cases the reformulated equations are somewhat easier to solve numerically, because the Mayer resummation makes the various functions less long-ranged. 

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