Transition Temperature of a Uniform Imperfect Bose Gas

Preprint

1 April 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9904027

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

TRANSITION TEMPERATURE
UNIFORM IMPERFECT
UNIFORM DILUTE
IMPERFECT BOSE
DILUTE BOSE
SCATTERING
BOSE GAS
K_0

All Related Versions

Version 1, 1999-04-01, ArXiv
Published version: Physical Review Letters, 83 (19), 3770.

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