Quantum second virial coefficient of a two-dimensional Lennard-Jones gas

Abstract

We consider the equation of state of a dilute two-dimensional quantum degenerate gas at moderately high temperatures, and calculate the second virial coefficient assuming a Lennard-Jones function for the pair potential. The physical systems of interest are the mobile adsorption of gases on solid surfaces at low surface densities. The net Slater sum corrections to the classical B are smaller than for the three-dimensional case, whereas the effect of different particle statistics is enhanced. This leads to markedly different results in the two-dimensional problem.