Condensation in ideal Fermi gases
arXiv:cond-mat/0310248 · doi:10.1088/0305-4470/36/46/L01
Abstract
I investigate the possibility of condensation in ideal Fermi systems of general single particle density of states. For this I calculate the probability of having exactly particles in the condensate and analyze its maxima. The existence of such maxima at macroscopic values of indicates a condensate. An interesting situation occurs for example in 1D systems, where may have two maxima. One is at and another one may exist at finite (for temperatures bellow a certain condensation temperature). This suggests the existence of a first order phase transition. % The calculation of allows for the exploration of ensemble equivalence of Fermi systems from a new perspective.
arXiv comment8 pages with 1 figure. Will appear in J. Phys. A: Math. Gen. Changes (minor): I updated Ref. [9] and its citation in the text. I introduced citation for figure 1 in the text
References in corpus (12)
- Theory of Bose-Einstein condensation in trapped gases
- Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
- Pauli Blocking of Collisions in a Quantum Degenerate Atomic Fermi Gas
- Evaporative Cooling of a Two-Component Degenerate Fermi Gas
- Condensate Fluctuations in Trapped Bose Gases: Canonical vs. Microcanonical Ensemble
- Thermodynamics for Fractional Exclusion Statistics
- Thomas-Fermi Method For Particles Obeying Generalized Exclusion Statistics
- The saddle-point method for condensed Bose gases
- Universal behaviour of ideal and interacting quantum gases in two dimensions
- Ideal quantum gases in two dimensions
- Ground state fluctuations in finite Fermi and Bose systems
- Exact ground state number fluctuations of trapped ideal and interacting fermions