Fluctuations of the Fermi condensate in ideal gases

Details Fluctuations of the Fermi condensate in ideal gases Fluctuations of the Fermi condensate in ideal gases

2005-04-26

arxiv.org/abs/cond-mat/0504672v1

J. Phys. A: Math. Gen. 38, 9405 (2005)

Physics

Condensed Matter

Statistical Mechanics

10 pages with 3 figs. IOP style

Scientific paper

10.1088/0305-4470/38/43/001

We calculate numerically and analytically the fluctuations of the fermionic condensate and of the number of particles above the condensate for systems of constant density of states. We compare the canonical fluctuations, obtained from the equivalent Bose condensate fluctuation, with the grandcanonical fermionic calculation. The fluctuations of the condensate are almost the same in the two ensembles, with a small correction comming from the total particle number fluctuation in the grandcanonical ensemble. On the other hand the number of particles above the condensate and its fluctuation is insensitive to the choice of ensemble.

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