Phase transitions in one-dimensional cluster-interaction fluids III. Correlation functions

@inproceedings{Felderhof1970PhaseTI,
  title={Phase transitions in one-dimensional cluster-interaction fluids III. Correlation functions},
  author={B. Ubbo Felderhof},
  year={1970}
}
An explicit expression is derived for the pair correlation function g(r) in the class of one-dimensional many-body cluster interaction models studied previously. It is shown that the product property and the compressibility theorem are satisfied. The asymptotic behavior of g(r) is studied in the simple logarithmic model for pressure and temperature near the vapor pressure curve. Explicit expressions for the nearest neighbor distribution and the cluster length distribution are also derived. 

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