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 |