The finite quantum grand canonical ensemble and temperature from single-electron statistics for a mesoscopic device (Articolo in rivista)

Type
Label
  • 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)
Alternative label
  • Prati E (2010)
    The finite quantum grand canonical ensemble and temperature from single-electron statistics for a mesoscopic device
    in Journal of statistical mechanics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Prati E (literal)
Pagina inizio
  • P01003 (literal)
Pagina fine
  • P01003 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 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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Autore CNR

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