Condensation in ideal Fermi gases

Details Condensation in ideal Fermi gases Condensation in ideal Fermi gases

2003-10-10

arxiv.org/abs/cond-mat/0310248v2

J. Phys. A: Math. Gen. 36, L577-L583 (2003)

Physics

Condensed Matter

Statistical Mechanics

8 pages with 1 figure. Will appear in J. Phys. A: Math. Gen. Changes (minor): I updated Ref. [9] and its citation in the text.

Scientific paper

10.1088/0305-4470/36/46/L01

I investigate the possibility of condensation in ideal Fermi systems of general single particle density of states. For this I calculate the probability $w_{N_0}$ of having exactly $N_0$ particles in the condensate and analyze its maxima. The existence of such maxima at macroscopic values of $N_0$ indicates a condensate. An interesting situation occurs for example in 1D systems, where $w_{N_0}$ may have two maxima. One is at $N_0=0$ and another one may exist at finite $N_0$ (for temperatures bellow a certain condensation temperature). This suggests the existence of a first order phase transition. % The calculation of $w_{N_0}$ allows for the exploration of ensemble equivalence of Fermi systems from a new perspective.

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