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An extensive study of Bose–Einstein condensation in liquid helium using Tsallis statistics

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  • Guha, Atanu
  • Das, Prasanta Kumar

Abstract

Realistic scenario can be represented by general canonical ensemble way better than the ideal one, with proper parameter sets involved. We study the Bose–Einstein condensation phenomena of liquid helium within the framework of Tsallis statistics. With a comparatively high value of the deformation parameter q(∼1.4), the theoretically calculated value of the critical temperature (Tc) of the phase transition of liquid helium is found to agree with the experimentally determined value (Tc=2.17K), although they differs from each other for q=1 (undeformed scenario). This throws a light on the understanding of the phenomenon and connects temperature fluctuation(non-equilibrium conditions) with the interactions between atoms qualitatively. More interactions between atoms give rise to more non-equilibrium conditions which is as expected.

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  • Guha, Atanu & Das, Prasanta Kumar, 2018. "An extensive study of Bose–Einstein condensation in liquid helium using Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 272-284.
    • Handle: RePEc:eee:phsmap:v:497:y:2018:i:c:p:272-284
    DOI: 10.1016/j.physa.2018.01.020
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    References listed on IDEAS

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    1. Pennini, F. & Plastino, A. & Plastino, A.R., 1996. "Tsallis nonextensive thermostatistics, Pauli principle and the structure of the Fermi surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 471-479.
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    4. Guha, Atanu & Das, Prasanta Kumar, 2018. "q-deformed Einstein’s model to describe specific heat of solid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 18-29.
    5. Tirnakli, Uǧur & Büyükkiliç, Fevzi & Demirhan, Doǧan, 1997. "Generalized distribution functions and an alternative approach to generalized Planck radiation law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(3), pages 657-664.
    6. Tsallis, Constantino, 1995. "Non-extensive thermostatistics: brief review and comments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 277-290.
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    Cited by:

    1. Umpierrez, Haridas & Davis, Sergio, 2021. "Fluctuation theorems in q-canonical ensembles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).

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