
arXiv: 0802.1793
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
van der Waals model, Statistical Mechanics (cond-mat.stat-mech), quasi-particle methods, kinetic theory, FOS: Physical sciences, fermion-boson symmetry, Condensed Matter - Statistical Mechanics
van der Waals model, Statistical Mechanics (cond-mat.stat-mech), quasi-particle methods, kinetic theory, FOS: Physical sciences, fermion-boson symmetry, Condensed Matter - Statistical Mechanics
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