Physics – Mathematical Physics
Scientific paper
2010-01-29
Phys.Rev.C81:044301,2010
Physics
Mathematical Physics
5 pages, 1 figure, one figure added, accepted for publication in Phys. Rev. C
Scientific paper
10.1103/PhysRevC.81.044301
We investigate the many-body level density of gas of non-interacting fermions. We determine its behavior as a function of the temperature and the number of particles. As the temperature increases, and beyond the usual Sommerfeld expansion that describes the degenerate gas behavior, corrections due to a finite number of particles lead to Gumbel-like contributions. We discuss connections with the partition problem in number theory, extreme value statistics as well as differences with respect to the Bose gas.
Leboeuf Patricio
Roccia Jerôme
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