IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v585y2022ics0378437121006920.html
   My bibliography  Save this article

Thermostatistics in deformed space with maximal length

Author

Listed:
  • Bensalem, Salaheddine
  • Bouaziz, Djamil

Abstract

The method for calculating the canonical partition function with deformed Heisenberg algebra, developed by Fityo (Fityo, 2008), is adapted to the modified commutation relations including a maximal length, proposed in 1D by Perivolaropoulos (Perivolaropoulos, 2017). Firstly, the one-dimensional maximum length formalism is extended to arbitrary dimensions. Then, by employing the adapted semiclassical approach, the thermostatistics of an ideal gas and a system of harmonic oscillators (HOs) is investigated. For the ideal gas, the results generalize those obtained recently by us in 1D (Bensalem and Bouaziz, 2019), and show a complete agreement between the semiclassical and quantum approaches. In particular, a stiffer real-like equation of state for the ideal gas is established in 3D; it is consistent with the formal one, which we presented in the aforementioned paper. The modified thermostatistics of a system of HOs compared to that of an ideal gas reveals that the effects of the maximal length depend on the studied system. On the other hand, it is observed that the maximal-length effects on some thermodynamic functions of the HOs are analogous to those of the minimal length, studied previously in the literature. Finally, by analyzing some experimental data, we argue that the maximal length might be viewed as a characteristic scale associated with the system under study.

Suggested Citation

  • Bensalem, Salaheddine & Bouaziz, Djamil, 2022. "Thermostatistics in deformed space with maximal length," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    • Handle: RePEc:eee:phsmap:v:585:y:2022:i:c:s0378437121006920
    DOI: 10.1016/j.physa.2021.126419
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121006920
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2021.126419?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Farhang Matin, L. & Miraboutalebi, S., 2015. "Statistical aspects of harmonic oscillator under minimal length supposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 425(C), pages 10-17.
    2. Bensalem, Salaheddine & Bouaziz, Djamil, 2019. "Statistical description of an ideal gas in maximum length quantum mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 583-592.
    3. Mirtorabi, M. & Miraboutalebi, S. & Masoudi, A.A. & Farhang Matin, L., 2018. "Quantum gravity modifications of the relativistic ideal gas thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 602-612.
    4. Nozari, Kourosh & Mehdipour, S. Hamid, 2007. "Implications of minimal length scale on the statistical mechanics of ideal gas," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1637-1644.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bensalem, Salaheddine & Bouaziz, Djamil, 2019. "Statistical description of an ideal gas in maximum length quantum mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 583-592.
    2. Mirtorabi, M. & Miraboutalebi, S. & Masoudi, A.A. & Matin, L. Farhang, 2020. "Some thermodynamics modifications by the least length assumption via the microcanonical scheme," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    3. Mirtorabi, M. & Miraboutalebi, S. & Masoudi, A.A. & Farhang Matin, L., 2018. "Quantum gravity modifications of the relativistic ideal gas thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 602-612.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:585:y:2022:i:c:s0378437121006920. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.