NONUNIFORM CLASSICAL FLUID MIXTURE IN ONE-DIMENSIONAL SPACE WITH NEXTNEIGHBOR INTERACTIONS

An overcomplete description is used to represent thermodynamic potenti als, for a one-dimensional classical fluid mixture with next neighbor interaction, in compact closed form. In descriptions of this class, a thermodynamic potential depends not only on minimally sufficient contr ol variables, but on others as well with respect to which it is statio nary. Here, this is done first in the direct, or fugacity-controlled f ormat, with the grand potential as the relevant generating function. I t is then transcribed to an indirect, relative density functional form at, with overcompleteness restricted to a set of grand potential densi ties. Polydispersity requires a separate treatment. Extensions outside of the range of strict one-dimensionality are discussed, as are sever al approximation methods.