Density functional theory for general hard-core lattice gases

Abstract

A simple systematic procedure to construct a fundamental measure (FM) functional for any hard-core lattice model was proposed. The complete set of maximal 0D cavities of the model was also determined. It was found that the obtained density functionals belonged to the class of fundamental measure functionals and thus were always consistent through dimensional reduction. With this method, one can easily recover all functionals previously obtained and also obtain those of virtually any other hard-core lattice gas.