Density functional formulation of the Random Phase Approximation for inhomogeneous fluids: application to the Gaussian core and Coulomb particles

Derek Frydel, Manman Ma

Using the adiabatic connection, we formulate the free energy in terms of the correlation function of a fictitious system, $h_{\lambda }(\mathbf{r},{\mathbf{r}}^{\prime })$, where $\lambda$ determines the interact…