Semiclassical statistical mechanics of a two-dimensional fluid

Abstract

Expansions are obtained for the radial distribution function and free energy for a two-dimensional hard-core fluid in the semiclassical limit, using the ‘‘modified’’ Wigner–Kirkwood expansion method. These results are used to obtain expressions for the density-independent part of the radial distribution function and the first-order density correction to it. Quantum corrections to the second and third virial coefficients are discussed in detail. Explicit results are given for the Sutherland, Yukawa-tail, Wood–Saxan, square-well, and Lennard-Jones (12-6) pair potential models.