Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Quantum Grand Canonical Ensemble and Temperature from Single
  Electron Statistics in a Mesoscopic Device   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 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
system consists of an alternatively single and double occupied electron system
confined in a quantum dot, which exhanges one electron with a small $N$ two
dimensional electron reservoir. The analytic determination of the temperature
of a $(1\leftrightarrow 2)$ electron system and the role of ergodicity are
discussed. The generalized temperature expression in the small $N$ regime
recovers the usual temperature expression by taking the limit of $N\to\infty$
of the electron bath.

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The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con