Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Wave propagation in relativistic Extended Thermodynamics

  • 26 Accesses

  • 11 Citations

Abstract

We classify the thermodynamical waves that propagate in a non-equilibrium gas governed by the field equations of relativistic extended thermodynamics. The calculations are carried out for a generic state function appropriate to mon-atomic ideal gases. In the particular cases of the non-degenerate gas specific wave speeds are calculated. In the limit of the non-relativistic and the ultra-relativistic gas the results agree with those given before in literature.

This is a preview of subscription content, log in to check access.

References

  1. 1.

    Liu, I. S.; Müller, I.; Ruggeri, T.: Relativistic Thermodynamics of Gases. Ann. Phys. 169 (1986) 191–219

  2. 2.

    Boillat, G.: Wave Velocities in Relativistic Extended Thermodynamics. Proceedings of the Symposium on Kinetic Theory and Extended Thermodynamics Bologna, May 18–20th, 1987 Edited by I. Müller and T. Ruggeri. 55–60. Bologna: Pitagora Editrice 1987

  3. 3.

    Boillat, G.: Covariant Disturbances and Exceptional Waves J. Math. Phys. 14 (1973) 973–976

  4. 4.

    Kranyš, M.: Phase and Signal Velocities of Waves in Dissipative Media. Special Relativistic Theory. Arch. Ration. Mech. Anal. 48 (1972) 274–301

  5. 5.

    Stewart, J. M.: On Transient Relativistic Thermodynamics and Kinetic Theory. Proc. R. Soc. Lond. A 357 (1977) 59–75

  6. 6.

    Isreal, W.; Stewart, J. M.: On Transient Relativistic Thermodynamics and Kinetic Theory. II, Proc. R. Soc. Lond. A 365 (1979) 43–52

  7. 7.

    Israel, W.; Stewart, J. M.: Progress in Relativistic Thermodynamics and Electrodynamics of Continuous Media. In General Relativity and Gravitation. One Hundred Years After the Birth of Albert Einstein. Edited by A. Held, Vol. II, 4, 508–525. New York: Plenum Press 1980

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Seccia, L., Strumia, A. Wave propagation in relativistic Extended Thermodynamics. Continuum Mech. Thermodyn 2, 151–161 (1990). https://doi.org/10.1007/BF01126720

Download citation

Keywords

  • Wave Propagation
  • Generic State
  • Field Equation
  • State Function
  • Wave Speed