A general relation is derived between the pressure tensor in an equilibrated inhomogeneous fluid and the direct correlation function. This relation reduces to the usual compressibility equation for a homogeneous fluid and is to be considered as the generalized compressibility equation. The equation provides a starting point for integral-equation theories and is useful in the rigorous kinetic theory of inhomogeneous fluids.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics