Path-integral calculation of the third virial coefficient of quantum gases at low temperatures

Details Path-integral calculation of the third virial coefficient of quantum gases at low temperatures Path-integral calculation of the third virial coefficient of quantum gases at low temperatures

2011-03-15

arxiv.org/abs/1103.2857v1

J. Chem. Phys. 134, 134106 (2011)

Physics

Condensed Matter

Statistical Mechanics

The following article has been accepted by The Journal of Chemical Physics. After it is published, it will be found at http://

Scientific paper

10.1063/1.3573564

We derive path-integral expressions for the second and third virial coefficients of monatomic quantum gases. Unlike previous work that considered only Boltzmann statistics, we include exchange effects (Bose-Einstein or Fermi-Dirac statistics). We use state-of-the-art pair and three-body potentials to calculate the third virial coefficient of 3He and 4He in the temperature range 2.6-24.5561 K. We obtain uncertainties smaller than those of the limited experimental data. Inclusion of exchange effects is necessary to obtain accurate results below about 7 K.

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