Van Der Waals Revisited

Details Van Der Waals Revisited Van Der Waals Revisited

2008-02-13

arxiv.org/abs/0802.1793v2

Physica A 387 (2008) 4581-4588

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures, minor changes, accepted for publication in Physica A

Scientific paper

10.1016/j.physa.2008.03.019

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.

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