Van Der Waals Revisited
arXiv:0802.1793 · doi:10.1016/j.physa.2008.03.019
Abstract
The van-der-Waals version of the second virial coefficient is not far from being exact if the model parameters are appropriately chosen. It is shown how the van-der-Waals resemblance originates from the interplay of thermal averaging and superposition of scattering phase shift contributions. The derivation of the two parameters from the quantum virial coefficient reveals a fermion-boson symmetry in non-ideal quantum gases. Numerical details are worked out for the Helium quantum gases.
11 pages, 4 figures, minor changes, accepted for publication in Physica A