Density Functional Theory for Density Profile of Fluid Confined in Slit

Density expansion method of density functional theory was applied to the study of the hard sphere fluid and the L J fluid confined between two parallel planar walls. The density profiles obtained are compared with the results of Monte Carlo simulation of canonical ensemble. The agreement is good for the hard sphere fluid except which nearby the wall at the high density. For the L J fluid, the agreement is as good as it for the hard sphere at higher T * and is poor at lower T *.