Get access

Statistical physics of a mesoscopic fermion system inside a rectangular box

Authors

  • Radu P. Lungu

    Corresponding author
    1. Department of Physics, University of Bucharest, Magurele-Bucharest, 050107, Romania
    2. IFIN-HH-National Institute of Physics and Nuclear Engineering, POB MG-6, Bucharest, Romania
    • Department of Physics, University of Bucharest, Magurele-Bucharest, 050107, Romania
    Search for more papers by this author

Abstract

An ideal Fermi gas of identical particles confined inside a rectangular box is considered. Using the grand-canonical formalism and performing the summations over the one-particle states numerically, the temperature dependence of the chemical potential, of the average energy and of the heat capacity are derived before the thermodynamic limit is taken. These mesoscopic quantities differ from the corresponding thermodynamic quantities only quantitatively but are qualitatively similar. © 2013 Wiley Periodicals, Inc.

Ancillary