Bose Condensation and Temperature

Details Bose Condensation and Temperature Bose Condensation and Temperature

2001-03-27

arxiv.org/abs/cond-mat/0103555v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

A quantitative analysis of the process of condensation of bosons both in harmonic traps and in gases is made resorting to two ingredients only: Bose classical distribution and spectral discretness. It is shown that in order to take properly into account statistical correlations, temperature must be defined from first principles, based on Shannon entropy, and turns out to be equal to $\beta^{-1}$ only for $T > T_c$ where the usual results are recovered. Below $T_c$ a new critical temperature $T_d$ is found, where the specific heat exhibits a sharp spike, similar to the $\lambda$-peak of superfluidity.

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