Abstract
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.
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Zhang, M.Q. The nonuniform hard-rod fluid revisited. J Stat Phys 63, 1191–1202 (1991). https://doi.org/10.1007/BF01030006
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DOI: https://doi.org/10.1007/BF01030006