# Transition Temperature of a Uniform Imperfect Bose Gas

Source: [Transition Temperature of a Uniform Imperfect Bose Gas](<https://www.sota2.com/research/paper/68fa24c62c2a3760193a8bf2>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:30:47.009Z

Authors: K Huang

Published: 1999-04-01T20:24:27.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9904027>)

[PDF](<https://arxiv.org/pdf/cond-mat/9904027.pdf>)