Canonical-grandcanonical ensemble in-equivalence in Fermi systems?
arXiv:cond-mat/0408019 · doi:10.1088/0305-4470/39/18/001
Abstract
I discuss the effects of fermionic condensation in systems of constant density of states. I show that the condensation leads to a correction of the chemical potential and of the Fermi distribution in canonical Fermi systems at low temperatures. This implies that the canonical and grandcanonical ensembles are not equivalent even for Fermi systems.
4 pages and 1 figure
References in corpus (5)
- Bose-Einstein Condensation, Fluctuations, and Recurrence Relations in Statistical Mechanics
- Universal behaviour of ideal and interacting quantum gases in two dimensions
- Condensation in ideal Fermi gases
- Thermodynamic Equivalence of Certain Ideal Bose and Fermi Gases
- Fluctuations of the Fermi condensate in ideal gases