**Cavity correlation and bridge functions at high density and near the
critical point: a test of second-order Percus-Yevick theory**

AR Saeger and JK Johnson and WG Chapman and D Henderson, MOLECULAR PHYSICS, 114, 2516-2522 (2016).

DOI: 10.1080/00268976.2016.1177662

Cavity correlation functions, pair correlation functions, and bridge
functions for the Lennard-Jones fluid are calculated from first Percus-
Yevick (PY) theory and second-order Percus-Yevick (PY2) theory,
molecular dynamics, and grand canonical Monte Carlo techniques. We find
that the PY2 theory is significantly more accurate than the PY theory,
especially at high density and near the critical point. The pair
correlation function near the critical point has the expected slowly
decaying long-range behaviour. However, we do not observe any long-range
behaviour in the bridge function for the state points near the critical
point we have simulated. However, we do note that the bridge function,
which is usually negative near r = 0, becomes positive as r -> 0. This
behaviour is seen for the bridge functions computed from both PY2 and
molecular dynamics, but not from PY. **GRAPHICS** .

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