Hypernetted-chain theories of the primitive model double layer

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Abstract
A new efficient algorithm for solving hypernetted-chain (HNC) theories of the primitive model double layer is described. The new algorithm provides solutions of the HNC/MSA and HNC/HNC equations for 1 : 1 and 2 : 2 aqueous electrolytes for most conditions of physical interest. The HNC/HNC results, which are almost all new, are good (as compared with Monte Carlo results) for concentrated electrolytes but deteriorate at lower concentrations except at low surface charge densities. The HNC/HNC coion density profiles show spurious features similar to those previously reported in HNC calculations for bulk electrolytes. Ideas from density functional theory are used to suggest a possible explanation for the perversely good performance of the HNC/MSA equations.

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