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Thermostatistics of the g-on gas

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Abstract.

In this study, the particles of the quantum gases, namely bosons and fermions are called g-ons by using the parameter of the fractional exclusion statistics g, where \(0\leq g\leq 1\). With this point of departure, the distribution function of the g-on gas is obtained by the variational, steepest descent and statistical methods. The distribution functions which are found by means of these three methods are compared. It is shown that the thermostatistical formulations of quantum gases can be unified. By suitable choices of g, standard relations of statistical mechanics of the Bose and Fermi systems are recovered.

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References

  1. F. Büyükkılıç, D. Demirhan, Eur. Phys. J. B 14, 704 (2000)

    Google Scholar 

  2. G. Su, M. Suzuki, Eur. Phys. J. B 5, 577 (1998)

    Article  Google Scholar 

  3. Y. Su Wu, Phys. Rev. Lett. 73, 922 (1994)

    Article  Google Scholar 

  4. F.D.M. Haldane, Phys. Rev. Lett. 66, 1529 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  5. C.B. Arfken, H.J. Weber, Mathematical Methods for Physicists (Academic Press, 1966)

  6. C. Kittel, Elementary Statistical Physics (John Wiley, New York 1958)

  7. I.S. Grandshteyn, I.M. Ryzhik, Table of Integral Series and Products (Academic Press, New York, 1965)

  8. W. Greiner, L. Neise, H. Stoecker, Thermodynamics and Statistical Mechanics (Springer Verlag, 1995)

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Authors and Affiliations

  1. Department of Physics, Science Faculty Ege University, 35100, Bornova, Izmir, Turkey

    F. Büyükkiliç, H. Uncu & D. Demirhan

Authors
  1. F. Büyükkiliç
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  2. H. Uncu
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  3. D. Demirhan
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Corresponding author

Correspondence to F. Büyükkiliç.

Additional information

Received: 26 March 2003, Published online: 22 September 2003

PACS:

05.20.-y Classical statistical mechanics - 03.65.-w Quantum mechanics

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Büyükkiliç, F., Uncu, H. & Demirhan, D. Thermostatistics of the g-on gas. Eur. Phys. J. B 35, 111–116 (2003). https://doi.org/10.1140/epjb/e2003-00261-9

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  • DOI: https://doi.org/10.1140/epjb/e2003-00261-9

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