Comment on the paper “Microcanonical analysis of Boltzmann and Gibbs entropies in trapped cold atomic gases, K.J. Higginbotham, D.E. Sheehy, Physica A 536(2019) 122547”

Abstract

In the commented paper, the authors study a gas of noninteracting fermions confined in a one-dimensional harmonic trap, and calculate the Boltzmann temperature and the Gibbs temperature of this system. They find that the Gibbs temperature is closer to the corresponding temperature given by the grand-canonical approach than the Boltzmann temperature. In this comment we point out their conclusion is not always true.