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Implications of minimal length scale on the statistical mechanics of ideal gas

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  • Nozari, Kourosh
  • Mehdipour, S. Hamid

Abstract

Several alternative approaches to quantum gravity problem suggest the modification of the fundamental volume ω0 of the accessible phase space for representative points. This modified fundamental volume has a novel momentum dependence. In this paper, we study the effects of this modification on the thermodynamics of an ideal gas within the micro-canonical ensemble and using the generalized uncertainty principle (GUP). Although the induced modifications are important only in quantum gravity era, possible experimental manifestation of these effects may provides strong support for underlying quantum gravity proposal.

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  • 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.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:5:p:1637-1644
    DOI: 10.1016/j.chaos.2006.09.019
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    1. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
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    Cited by:

    1. Bensalem, Salaheddine & Bouaziz, Djamil, 2022. "Thermostatistics in deformed space with maximal length," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    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.

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