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Heat conduction in relativistic neutral gases revisited

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Abstract

The kinetic theory of dilute gases to first order in the gradients yields linear relations between forces and fluxes. The heat flux for the relativistic gas has been shown to be related not only to the temperature gradient but also to the density gradient in the representation where number density, temperature and hydrodynamic velocity are the independent state variables. In this work we show the calculation of the corresponding transport coefficients from the full Boltzmann equation and compare the magnitude of the relativistic correction.

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References

  1. Hiscock W.A., Lindblom L.: Phys. Rev. D 31, 725 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  2. García-Perciante A.L., García-Colín L.S., Sandoval-Villalbazo A.: Gen. Relativ. Gravit. 41, 1645 (2009)

    Article  ADS  MATH  Google Scholar 

  3. Eckart C.: Phys. Rev. 58, 267 (1940)

    Article  ADS  MATH  Google Scholar 

  4. Cercignani C., Medeiros Kremer G.: The Relativistic Boltzmann Equation: Theory and Applications. Cambridge University Press, UK (1991)

    Google Scholar 

  5. de Groot S.R., Van Leeuwen W.A., Van der Wert Ch.: Relativistic Kinetic Theory. North Holland Publ Co, Amsterdam (1980)

    Google Scholar 

  6. Israel W.: J. Math. Phys. 4, 1163 (1963)

    Article  MathSciNet  ADS  Google Scholar 

  7. Sandoval-Villalbazo A., García-Perciante A.L., García-Colín L.S.: Phys. A 388, 3765 (2009)

    Article  Google Scholar 

  8. Tsumura Kyosuke., Kunihiro Teiji.: Phys. Lett. B 668, 425 (2008)

    Article  ADS  Google Scholar 

  9. Sandoval-Villalbazo, A., Garcia-Perciante, A.L.: New trends in statistical physics. Festschrift in Honor of Leopoldo Garcia-Colin’s 80th Birthday, pp. 293–301. World Scientic (2010)

  10. Brun-Battistini D., Sandoval-Villalbazo A.: AIP Conference Proceedings 1312, 57 (2010)

    Article  ADS  Google Scholar 

  11. Denicol G.S., Kodama T., Koide T., Mota Ph.: J. Phys. G 35, 115102 (2008)

    Article  ADS  Google Scholar 

  12. García-Perciante A.L., Sandoval-Villalbazo A.: J. Non-Newtonian Fluid Mech. 165, 1024 (2010)

    Article  MATH  Google Scholar 

  13. García-Perciante, A.L., Sandoval-Villalbazo, A., García-Colín, L.S.: arXiv:1007.2815

  14. Chapman S., Cowling T.G.: The Mathematical Theory of Non-Uniform Gases. Cambridge University Press, Cambridge (1991)

    MATH  Google Scholar 

  15. Sandoval-Villalbazo A.: Phys. A 278, 428 (2000)

    Article  Google Scholar 

  16. Garcia-Perciante, A.L.: AIP Conference Proceedings 1332, 216 (2011)

  17. Weinberg S.: Gravitation and Cosmology, Chap 2. Wiley, NewYork (1972)

    Google Scholar 

  18. Jüttner F.: Ann. Physik und Chemie 34, 856 (1911)

    Article  MATH  Google Scholar 

  19. Courant, C., Hilbert, D.: Methods of Mathematical Physics. J. Wiley, NewYork (1972) (stress-energy tensor is included in Section V)

  20. García-Perciante A.L., Sandoval-Villalbazo A., García-Colin L.S.: Phys. A 387, 5073 (2008)

    Article  MathSciNet  Google Scholar 

  21. Kelly D.C.: The Kinetic Theory of a Relativistic Gas. Miami University, Oxford (1963)

    Google Scholar 

  22. Calusius R.: Annalen der Physik 100, 353 (1857)

    ADS  Google Scholar 

  23. Brush S.: The Kind of Motion We Call Heat. North Holland, Amsterdam (1986)

    Google Scholar 

  24. Hirshfelder J.O., Curtiss C.F., Byron Bird R.: The Molecular Theory of Gases and Liquids. J Wiley, NewYork (1954)

    Google Scholar 

  25. Arfken G.B., Weber H.J.: Mathematical Methods for Physicists. Academic Press, NewYork (1995)

    Google Scholar 

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Correspondence to A. L. García-Perciante.

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García-Perciante, A.L., Méndez, A.R. Heat conduction in relativistic neutral gases revisited. Gen Relativ Gravit 43, 2257–2275 (2011). https://doi.org/10.1007/s10714-011-1180-z

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  • DOI: https://doi.org/10.1007/s10714-011-1180-z

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