Finite-size effects in a D-dimensional ideal Fermi gas |
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Authors: | Su Guo-Zhen Ou Cong-Jie Wang A Qiu-Ping and Chen Jin-Can |
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Institution: | Department of Physics and Institute of Theoretical Physics and
Astrophysics, Xiamen University, Xiamen 361005, China; Institut Supérieur des Matériaux et Mécaniques
Avancées du Mans, 44 Av. Bartholdi, 72000 Le Mans,
France |
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Abstract: | By using the Euler--MacLaurin formula, this paper studies
the thermodynamic properties of an ideal Fermi gas confined in a
d-dimensional rectangular container. The general expressions of
the thermodynamic quantities with the finite-size corrections are
given explicitly and the effects of the size and shape of the
container on the properties of the system are discussed. It is shown
that the corrections of the thermodynamic quantities due to the
finite-size effects are significant to be considered for the case of
strong degeneracy but negligible for the case of weak degeneracy or
non-degeneracy. It is important to find that some familiar
conclusions under the thermodynamic limit are no longer valid for
the finite-size systems and there are some novel characteristics
resulting from the finite-size effects, such as the nonextensivity
of the system, the anisotropy of the pressure, and so on. |
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Keywords: | finite-size effect ideal Fermi gas thermodynamic
property |
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