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Relativistic Quantum Thermodynamics of Ideal Gases in 2 Dimensions

arXiv:cond-mat/9905307 · doi:10.1103/PhysRevE.60.6164

Abstract

In this work we study the behavior of relativistic ideal Bose and Fermi gases in two space dimensions. Making use of polylogarithm functions we derive a closed and unified expression for their densities. It is shown that both type of gases are essentially inequivalent, and only in the non-relativistic limit the spinless and equal mass Bose and Fermi gases are equivalent as known in the literature.

6 pages, 1 figure