The finite quantum grand canonical ensemble and temperature from single-electron statistics for a mesoscopic device

  title={The finite quantum grand canonical ensemble and temperature from single-electron statistics for a mesoscopic device},
  author={Enrico Prati},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  • E. Prati
  • Published 13 January 2010
  • Physics
  • Journal of Statistical Mechanics: Theory and Experiment
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… 
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