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Monatomic limit of relativistic extended thermodynamics of polyatomic gas

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Abstract

In a recent paper Pennisi and Ruggeri (Ann Phys 377:414–445, 2017. https://doi.org/10.1016/j.aop.2016.12.012) proposed a casual hyperbolic model for a dissipative polyatomic relativistic gas. The closure was obtained using the maximum entropy principle for the generalized moments of a distribution function that, as in the classical case, depends on an additional continuous variable representing the energy of the internal modes of a molecule; this permits the theory to take into account the energy exchange between translational modes and internal modes of a molecule. The closure depends on a parameter \(a>-1\) that is related to the degrees of freedom of gas. In this paper it is proven that in the singular limit for \(a \rightarrow -1\) the field equations converge to the system obtained by relativistic extended thermodynamics theory of monatomic gas by Liu et al. (Ann Phys 169:191, 1986).

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Acknowledgements

This work was supported by National Group of Mathematical Physics GNFM-INdAM.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Cagliari, Cagliari, Italy

    Maria Cristina Carrisi & Sebastiano Pennisi

  2. Department of Mathematics and Alma Mater Research Center on Applied Mathematics, University of Bologna, Bologna, Italy

    Tommaso Ruggeri

Authors
  1. Maria Cristina Carrisi
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  2. Sebastiano Pennisi
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  3. Tommaso Ruggeri
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Correspondence to Maria Cristina Carrisi.

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Communicated by Andreas Öchsner.

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Carrisi, M.C., Pennisi, S. & Ruggeri, T. Monatomic limit of relativistic extended thermodynamics of polyatomic gas. Continuum Mech. Thermodyn. 31, 401–412 (2019). https://doi.org/10.1007/s00161-018-0694-y

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  • DOI: https://doi.org/10.1007/s00161-018-0694-y

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