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

Abstract

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.

arXiv commentThe following article has been accepted by The Journal of Chemical Physics. After it is published, it will be found at http://jcp.aip.org/ Version 2 includes the corrections detailed in the Erratum

References in corpus (1)

• Boltzmann bias grand canonical Monte Carlo

Cited by in corpus (8)

• Adaptive Multidimensional Integration: VEGAS Enhanced
• Ab initio Calculation of Fluid Properties for Precision Metrology
• Path-integral calculation of the fourth virial coefficient of helium isotopes
• Third density and acoustic virial coefficients of helium isotopologues from ab initio calculations
• Path-integral calculation of the third dielectric virial coefficient of noble gases
• Path-integral calculation of the third dielectric virial coefficient of helium based on ab initio three-body polarizability and dipole surfaces
• Collision-induced three-body polarizability of helium
• Third and fourth density and acoustic virial coefficients of neon from first-principles calculations