http://www.cnr.it/ontology/cnr/individuo/prodotto/ID36636
The finite quantum grand canonical ensemble and temperature from single-electron statistics for a mesoscopic device (Articolo in rivista)
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- The finite quantum grand canonical ensemble and temperature from single-electron statistics for a mesoscopic device (Articolo in rivista) (literal)
- Anno
- 2010-01-01T00:00:00+01:00 (literal)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
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- ISI Web of Science (WOS) (literal)
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- 1. CNR, Ist Nazl Fis Mat, Lab Nazl Mat & Disposit Microelettron, I-20041 Agrate Brianza, Italy (literal)
- Titolo
- The finite quantum grand canonical ensemble and temperature from single-electron statistics for a mesoscopic device (literal)
- 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. (literal)
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