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The main goal of this work is to accurately reproduce the structuralproperties of attractive systems modelled by hard-sphere plus square-well(HS+SW) interaction potential. Based on the optimized random phaseapproximation (ORPA), the attractive part of the interaction potential istreated as a perturbation of the hard-sphere term. We are able to obtain ananalytical expression for the structure factor $ S \left( k \right) $ whichreproduces the low density limit. The microscopical structure of the fluidphase of several SW fluids is computed and compared with Monte Carlo (MC)simulation results showing that the structure factor is well reproduced in awide range of wave vectors, in addition, the contact and discontinuity valuesof the radial distribution function are found to be in good agreement.Additionally, we compute the pressure equation of state and perform aquantitative analysis comparing with simulation results found that in a largeset of densities and temperatures our approach outperform its linear form.Furthermore, we show that the theoretical approach developed in this studyworks very well for many thermodynamic states leading us a versatile andconfident tool to systematic compute the structure and thermodynamics of SWfluids.

Analytical treatment of the structure and thermodynamics of the square-well fluid