Statistical Mechanics of Monatomic Systems in an External Periodic Potential Field. II. Distribution Function Theory for Fluids

Abstract
The theory of distribution functions for monatomic systems in an external periodic potential field is outlined. Particular attention is given to the equation of state, the second virial coefficient, and the Kirkwood and Born-Green-Yvon integral equations for the distribution functions. A brief discussion of a nonperiodic external field is given in an Appendix.