MULTIDIMENSIONAL GIBBS DISTRIBUTION AND AN IDEAL GAS OF NON-RELATIVISTIC PARTICLES

Автор(и)

  • A. E. Kusevich Department of Experimental Physics, Odessa National University, Odessa, Ukraine, Україна
  • M. V. Eingorn Department of Theoretical Physics, Odessa National University, Odessa, Ukraine, Україна
  • A. I. Zhuk Astronomical observatory of I.I.Mechnikov Odessa National University, Odessa, Ukraine, Україна

DOI:

https://doi.org/10.18524/1810-4215.2011.24.85079

Ключові слова:

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Анотація

We generalize the standard methods of quantum statistical physics and thermodynamics to the multidimensional case and apply them in order to derive different thermodynamic quantities, characterizing an ideal gas of non-relativistic particles. In particular, we obtain the formula for the pressure in the internal space.

Посилання

J.Polchinski: 1998, String Theory, Volume 2: Superstring Theory and Beyond / Cambridge University Press, Cambridge.

Th.Kaluza: 1921, Sitzungsber. d. Preuss. Akad. d. Wiss., p. 966.

O.Klein: 1926, Zeitschrift für Physik, Vol. 37, p. 895.

M.Eingorn and A.Zhuk: 2010, Class. Quant. Grav., Vol. 27, 205014; arXiv:gr-qc/1003.5690.

C.M.Will: 2005, Was Einstein Right? Testing Relativity at the Century, 100 Years of Relativity: Spacetime Structure – Einstein and Beyond / World Scientific, Singapore; arXiv:gr-qc/0504086.

N.Straumann: 1984, General Relativity and Relativistic Astrophysics / Springer-Verlag, Berlin, Heidelberg.

C.M.Will: 2000, Theory and Experiment in Gravitational Physics / Cambridge University Press, Cambridge.

M.Eingorn and A.Zhuk: 2011, Phys. Rev. D, Vol. 83, 044005; arXiv:gr-qc/1010.5740.

D.Kramer: 1970, Acta Phys. Polon. B, Vol. 2, p. 807.

D.J.Gross and M.J.Perry: 1983, Nucl. Phys. B, Vol. 226, p. 29.

A.Davidson and D.Owen: 1985, Phys. Lett., Vol. 155, p. 247.

Y.Tosa: 1986, Phys. Rev. D, Vol. 33, p. 2326.

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Опубліковано

2011-12-02

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