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This similarity is not accidental; indeed, substituting ({{EquationNote|12}}) in the relations above for the thermodynamic parameters (Equations {{EquationNote|7}}, {{EquationNote|9}} and {{EquationNote|10}}) yields the corresponding virial expansions.<ref name="Barker:1976">{{Cite journal | last1 = Barker | first1 = J. | last2 = Henderson | first2 = D. | doi = 10.1103/RevModPhys.48.587 | title = What is "liquid"? Understanding the states of matter | journal = Reviews of Modern Physics | volume = 48 | issue = 4 | pages = 587 | year = 1976 | pmid = | pmc = |bibcode = 1976RvMP...48..587B }}</ref> The auxiliary function <math>y(r)</math> is known as the ''cavity distribution function''.<ref name="HansenMcDonald2005" />{{rp|Table 4.1}}
In recent years, some attention has been given to develop Pair Correlation Functions for spatially-discrete data such as lattices or networks <ref>{{cite journal |last1=Gavagnin |first1=Enrico |title=Pair correlation functions for identifying spatial correlation in discrete domains |journal=Physical Review E |date=4 June 2018 |volume=97 |issue=1 |doi=10.1103/PhysRevE.97.062104}}</ref>
==Experimental==
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