Fluctuations of the Fermi condensate in ideal gases.
We calculate numerically and analytically the grand canonical fluctuation of the number of particles both, in the fermionic condensate and above it, for ideal Fermi systems of constant density of states. We compare the canonical fluctuations, obtained from the equivalent Bose condensate fluctuation, with the grand canonical fermionic calculation. The fluctuations of the condensate are almost the same in the two ensembles with a small correction coming from the total particle number fluctuation in the grand canonical ensemble. On the other hand, well below the condensation temperature, the number of particles above the condensate and its fluctuation are insensitive to the choice of ensemble.
- Research Organization:
- Argonne National Laboratory (ANL)
- Sponsoring Organization:
- SC; FOR
- DOE Contract Number:
- AC02-06CH11357
- OSTI ID:
- 953443
- Report Number(s):
- ANL/MSD/JA-54642
- Journal Information:
- J. Phys. A: Math. Gen., Journal Name: J. Phys. A: Math. Gen. Journal Issue: 43 ; Oct. 28, 2005 Vol. 38; ISSN 0305-4470; ISSN JPHAC5
- Country of Publication:
- United States
- Language:
- ENGLISH
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