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Condensed Matter > Quantum Gases

Title: The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic

Abstract: In the framework of the theory of Dunkl-deformed bosons, Bose-Einstein condensation of two and three-dimensional Dunkl-boson gases confined in the one-dimensional gravitational field is investigated. Using the semi-classical approximation method, we calculate the expressions of the Dunkl-critical temperature $T_{c}^{D}$, the ground state population $\frac{N_{0}^{D}}{N}$ and the Dunkl-mean energy and Dunkl-specific heat functions. Further numerical calculation shows that the condensation temperature ratio $\frac{T_{c}^{D}}{T_{c}^{B}}$ increases with the increasing Wigner parameter.
Comments: 10 pages 4 figures
Subjects: Quantum Gases (cond-mat.quant-gas); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)
Journal reference: Physica A, 623 128841 (2023)
DOI: 10.1016/j.physa.2023.128841
Cite as: arXiv:2303.11947 [cond-mat.quant-gas]
  (or arXiv:2303.11947v2 [cond-mat.quant-gas] for this version)

Submission history

From: Bekir Can Lütfüoğlu [view email]
[v1] Mon, 20 Mar 2023 17:52:49 GMT (97kb)
[v2] Mon, 22 May 2023 18:10:35 GMT (97kb)

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