Equivalence of ideal gases in two dimensions and Landen's relations
- 1 February 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 55 (2), 1518-1520
- https://doi.org/10.1103/physreve.55.1518
Abstract
Based on a recently given unified formulation of the statistical thermodynamics of ideal gases, an equivalence between the Bose and Fermi gases in two dimensions is established. This equivalence is shown to be a consequence of Landen's relations, found some 200 years ago, relating the Bose and Fermi fugacities through the Euler transformation. The specific heat result due to May [Phys. Rev. 135, A1515 (1964)] follows at once. The special nature of two-dimensional solutions is described.This publication has 5 references indexed in Scilit:
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