where ρ 0 is defined as the density of a coarse-grained particle, κ is the compressibility, which controls the local fluctuations of the density, a is a free parameter that can be tuned to calibrate the correct average density at the target temperature and pressure of interest and finally χℓm are the mixing interaction parameters between particle densities of types ℓ and m. These model parameters are the optimization variables for our present study.