Abstract
Based on the method of collective variables, we develop thestatistical field theory for the study of a simple charge-asymmetric1:z primitive model (SPM). It is shown that the well-known approximations for the free energy,in particular the DH limiting law (DHLL) and the optimized random phase approximation(ORPA), can be obtained within the framework of this theory. In order to study the gas–liquidcritical point of the SPM we propose a method for the calculation of chemical potentialconjugate to the total number density which allows us to take into account the higher-orderfluctuation effects. As a result, the gas–liquid phase diagrams are calculated forz = 2–4. The results demonstrate a qualitative agreement with Monte Carlo(MC) simulation data: the critical temperature decreases whenz increases and the critical density increases rapidly withz.
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