Journal of Statistical Physics, Vol. 63, Nos. 5/6, 1991. p. 1191-1202.
The statistical mechanics of the one-dimensional nonuniform pure hard-core fluid is formulated in the spirit of the Reiss-Frisch-Lebowitz (RFL) scaled particle theory. By emphasizing the importance of the core dependence,
a more intuitive and simpler derivation can be given. The Wiener-Hopf-type construction of the pair direct correlation function is formulated via the Dyson variational method of inverse scattering theory, which is compared with the particle-hole theory. The new approach allows us to lift the global free energy functional into a larger space where all the symmetries become apparent.