SEMICLASSICAL STATISTICAL-MECHANICS OF UPSILON-DIMENSIONAL FLUID MIXTURE OF HARD UPSILON-SPHERES

The problem of calculating the equilibrium properties of v-dimensional fluid mixture of hard v-spheres is studied. High temperature expansion for the density independent radial distribution function is derived for a hard v-sphere mixture. The `excess' quantum corrections to the second virial coefficient and the excess free energy are also studied. Significant features are the large increase in 'excess' quantum correction with increasing dimensionality.