Ideal quantum gases in two dimensions
S. Viefers, F. Ravndal, T. Haugset
TL;DR
This paper derives thermodynamic properties of ideal 2D quantum gases, revealing identical specific heats for bosons and fermions and discussing the limitations of existing equations for anyons at extreme conditions.
Contribution
It provides a comprehensive derivation of thermodynamic properties for non-interacting 2D quantum gases and analyzes the behavior of virial coefficients and equations of state.
Findings
Virial coefficients are identical except for the second, which have opposite signs.
Bosons and fermions share the same specific heat in two dimensions.
Existing equations for anyon gases break down at low temperatures or high densities.
Abstract
Thermodynamic properties of non-relativistic bosons and fermions in two spatial dimensions and without interactions are derived. All the virial coefficients are the same except for the second, for which the signs are opposite. This results in the same specific heat for the two gases. Existing equations of state for the free anyon gas are also discussed and shown to break down at low temperatures or high densities.
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