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van der Waals revisited

Author

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  • Bärwinkel, Klaus
  • Schnack, Jürgen

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.

Suggested Citation

  • Bärwinkel, Klaus & Schnack, Jürgen, 2008. "van der Waals revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(18), pages 4581-4588.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:18:p:4581-4588
    DOI: 10.1016/j.physa.2008.03.019
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    References listed on IDEAS

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    1. Barwinkel, K. & Schnack, J. & Thelker, U., 1999. "Quasi-particle picture for monatomic gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 262(3), pages 496-504.
    2. Schmidt, H.-J & Schnack, J, 1999. "Thermodynamic fermion–boson symmetry in harmonic oscillator potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 265(3), pages 584-589.
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