Table of Contents
Journal of Thermodynamics
Volume 2017 (2017), Article ID 3060348, 12 pages
https://doi.org/10.1155/2017/3060348
Research Article

Thermodynamics of Low-Dimensional Trapped Fermi Gases

Instituto de Física, Universidad Nacional Autónoma de México, Apdo. Postal 20-364, 01000 Ciudad de México, Mexico

Correspondence should be addressed to Francisco J. Sevilla

Received 8 October 2016; Revised 2 December 2016; Accepted 5 December 2016; Published 26 January 2017

Academic Editor: Felix Sharipov

Copyright © 2017 Francisco J. Sevilla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The effects of low dimensionality on the thermodynamics of a Fermi gas trapped by isotropic power-law potentials are analyzed. Particular attention is given to different characteristic temperatures that emerge, at low dimensionality, in the thermodynamic functions of state and in the thermodynamic susceptibilities (isothermal compressibility and specific heat). An energy-entropy argument that physically favors the relevance of one of these characteristic temperatures, namely, the nonvanishing temperature at which the chemical potential reaches the Fermi energy value, is presented. Such an argument allows interpreting the nonmonotonic dependence of the chemical potential on temperature, as an indicator of the appearance of a thermodynamic regime, where the equilibrium states of a trapped Fermi gas are characterized by larger fluctuations in energy and particle density as is revealed in the corresponding thermodynamics susceptibilities.