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Автор Hui-Ping Chen
Автор Ho-Fai Cheung
Дата выпуска 1995-08-14
dc.description We have studied the predictions of the canonical ensemble concerning the occupation probability for a model with an infinite uniform ladder of degenerate levels. Results show that in the high-degeneracy or high-temperature limit, the canonical ensemble occupation probability would be the same as that under the grand canonical ensemble (given by the Fermi-Dirac distribution). The difference between them is of the order of O(1/g) where g is the degeneracy of the levels. In the low-temperature limit, this difference depends on the corresponding Fermi energy. If the number of electrons is such that the Fermi energy is equal to the energy of a highly degenerate level, then this difference is small. The maximum difference occurs when the Fermi energy is in between two levels. These results are applicable to 1D perfect mesoscopic rings.
Формат application.pdf
Издатель Institute of Physics Publishing
Название Occupation probability under the canonical ensemble
Тип paper
DOI 10.1088/0953-8984/7/33/009
Electronic ISSN 1361-648X
Print ISSN 0953-8984
Журнал Journal of Physics: Condensed Matter
Том 7
Первая страница 6707
Последняя страница 6716
Аффилиация Hui-Ping Chen; Dept. of Phys. & Mater. Sci., City Univ. of Hong Kong, Hong Kong
Аффилиация Ho-Fai Cheung; Dept. of Phys. & Mater. Sci., City Univ. of Hong Kong, Hong Kong
Выпуск 33

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