Van Der Waals Revisited
K. Baerwinkel (U. Osnabrueck), J. Schnack (U. Bielefeld)
TL;DR
This paper revisits the van-der-Waals model for quantum gases, showing its near-exactness with proper parameters and revealing a fermion-boson symmetry through quantum virial coefficient analysis.
Contribution
It demonstrates how the van-der-Waals model approximates the second virial coefficient in quantum gases and uncovers a fermion-boson symmetry in the quantum virial framework.
Findings
Van-der-Waals model closely approximates the quantum second virial coefficient.
A fermion-boson symmetry is revealed in non-ideal quantum gases.
Numerical analysis provided for Helium quantum gases.
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.
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Taxonomy
TopicsQuantum, superfluid, helium dynamics · Cold Atom Physics and Bose-Einstein Condensates · Advanced Thermodynamics and Statistical Mechanics