The finite quantum grand canonical ensemble and temperature from single-electron statistics for a mesoscopic device
Articolo
Data di Pubblicazione:
2010
Citazione:
The finite quantum grand canonical ensemble and temperature from single-electron statistics for a mesoscopic device / E. Prati. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - (2010), pp. P01003.1-P01003.9. [10.1088/1742-5468/2010/01/P01003]
Abstract:
I present a theoretical model of a quantum statistical ensemble for which, unlike in conventional physics, the total number of particles is extremely small. The thermodynamical quantities are calculated by taking a small N by virtue of the orthodicity of the canonical ensemble. The finite quantum grand partition function of a Fermi-Dirac system is calculated. The model is applied to a quantum dot coupled with a small two-dimensional electron system. Such a system consists of an alternatively singly and doubly occupied electron system confined in a quantum dot, which exchanges one electron with a small N two-dimensional electron reservoir. The analytic determination of the temperature of a (1 <-> 2) electron system and the role of ergodicity are discussed. The generalized temperature expression in the small N regime recovers the usual temperature expression form on taking the limit of N <-> infinity for the electron bath.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
E. Prati
Link alla scheda completa: