Exact and approximate results of non-extensive quantum statistics

Details Exact and approximate results of non-extensive quantum statistics Exact and approximate results of non-extensive quantum statistics

1999-04-07

arxiv.org/abs/cond-mat/9904097v2

Eur.Phys.J. B14 (2000) 691

Physics

Condensed Matter

Statistical Mechanics

15 pages, prl revtex style, 4 ps figures. New -shortened- version accepted for publication in Eur. Phys. J. B

Scientific paper

10.1007/s100510051080

We develop an analytical technique to derive explicit forms of thermodynamical quantities within the asymptotic approach to non-extensive quantum distribution functions. Using it, we find an expression for the number of particles in a boson system which we compare with other approximate scheme (i.e. factorization approach), and with the recently obtained exact result. To do this, we investigate the predictions on Bose-Einstein condensation and the blackbody radiation. We find that both approximation techniques give results similar to (up to ${\cal O}(q-1)$) the exact ones, making them a useful tool for computations. Because of the simplicity of the factorization approach formulae, it appears that this is the easiest way to handle with physical systems which might exhibit slight deviations from extensivity.

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