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

@article{Prati2010TheFQ, 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}, year={2010}, volume={2010}, pages={01003} }

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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