English

Transition Temperature of a Uniform Imperfect Bose Gas

Condensed Matter 2009-10-31 v1

Abstract

We calculate the transition temperature of a uniform dilute Bose gas with repulsive interactions, using a known virial expansion of the equation of state. We find that the transition temperature is higher than that of an ideal gas, with a fractional increase K_0(na^3)^{1/6}, where n is the density and a is the S-wave scattering length, and K_0 is a constant given in the paper. This disagrees with all existing results, analytical or numerical. It agrees exactly in magnitude with a result due to Toyoda, but has the opposite sign.

Keywords

Cite

@article{arxiv.cond-mat/9904027,
  title  = {Transition Temperature of a Uniform Imperfect Bose Gas},
  author = {K Huang},
  journal= {arXiv preprint arXiv:cond-mat/9904027},
  year   = {2009}
}

Comments

Email correspondence to [email protected] ; 2 pages using REVTeX