Thermodynamic properties of repulsive weakly interacting Bose gas at sufficiently low temperature.

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Title: Thermodynamic properties of repulsive weakly interacting Bose gas at sufficiently low temperature.
Authors: Thu, Nguyen Van1 (AUTHOR) nvthu@live.com, Thanh, Pham Duy1 (AUTHOR)
Source: International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics. 5/20/2026, Vol. 40 Issue 13, p1-12. 12p.
Subjects: Bose-Einstein gas, Hartree-Fock approximation, Low temperature physics, Specific heat, Energy density, Thermodynamics, Chemical potential, Bose-Einstein condensation
Abstract: In this work, we build upon the theoretical framework developed in our previous study [N. V. Thu and D. T. Pham, Phys. Lett. A 523, 129787 (2024)], where the Cornwall–Jackiw–Tomboulis effective action formalism was applied to a dilute Bose gas, to investigate its thermodynamic properties in the condensed phase at sufficiently low temperatures within the improved Hartree–Fock approximation. We focus on the analyses of the chemical potential, pressure, energy density and specific heat at constant volume, which are derived within a unified, self-consistent and gapless framework. The results obtained show excellent agreement with those predicted by the Hartree–Fock–Bogoliubov theory in the appropriate limits. Remarkably, our results demonstrate universal behavior for the reduced thermodynamic quantities, and a comparison with available experimental data for the chemical potential is made. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Thermodynamic properties of repulsive weakly interacting Bose gas at sufficiently low temperature.
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  Data: <searchLink fieldCode="AR" term="%22Thu%2C+Nguyen+Van%22">Thu, Nguyen Van</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> nvthu@live.com</i><br /><searchLink fieldCode="AR" term="%22Thanh%2C+Pham+Duy%22">Thanh, Pham Duy</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="DE" term="%22Bose-Einstein+gas%22">Bose-Einstein gas</searchLink><br /><searchLink fieldCode="DE" term="%22Hartree-Fock+approximation%22">Hartree-Fock approximation</searchLink><br /><searchLink fieldCode="DE" term="%22Low+temperature+physics%22">Low temperature physics</searchLink><br /><searchLink fieldCode="DE" term="%22Specific+heat%22">Specific heat</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+density%22">Energy density</searchLink><br /><searchLink fieldCode="DE" term="%22Thermodynamics%22">Thermodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Chemical+potential%22">Chemical potential</searchLink><br /><searchLink fieldCode="DE" term="%22Bose-Einstein+condensation%22">Bose-Einstein condensation</searchLink>
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  Data: In this work, we build upon the theoretical framework developed in our previous study [N. V. Thu and D. T. Pham, Phys. Lett. A 523, 129787 (2024)], where the Cornwall–Jackiw–Tomboulis effective action formalism was applied to a dilute Bose gas, to investigate its thermodynamic properties in the condensed phase at sufficiently low temperatures within the improved Hartree–Fock approximation. We focus on the analyses of the chemical potential, pressure, energy density and specific heat at constant volume, which are derived within a unified, self-consistent and gapless framework. The results obtained show excellent agreement with those predicted by the Hartree–Fock–Bogoliubov theory in the appropriate limits. Remarkably, our results demonstrate universal behavior for the reduced thermodynamic quantities, and a comparison with available experimental data for the chemical potential is made. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1142/S0217979226501109
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      – Code: eng
        Text: English
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        PageCount: 12
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    Subjects:
      – SubjectFull: Bose-Einstein gas
        Type: general
      – SubjectFull: Hartree-Fock approximation
        Type: general
      – SubjectFull: Low temperature physics
        Type: general
      – SubjectFull: Specific heat
        Type: general
      – SubjectFull: Energy density
        Type: general
      – SubjectFull: Thermodynamics
        Type: general
      – SubjectFull: Chemical potential
        Type: general
      – SubjectFull: Bose-Einstein condensation
        Type: general
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      – TitleFull: Thermodynamic properties of repulsive weakly interacting Bose gas at sufficiently low temperature.
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            NameFull: Thu, Nguyen Van
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            NameFull: Thanh, Pham Duy
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            – D: 20
              M: 05
              Text: 5/20/2026
              Type: published
              Y: 2026
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            – TitleFull: International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics
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