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Maximum entropy principle for rarefied polyatomic gases

Author

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  • Pavić, Milana
  • Ruggeri, Tommaso
  • Simić, Srboljub

Abstract

The aim of this paper is to show that the procedure of maximum entropy principle for the closure of the moments equations for rarefied monatomic gases can be extended also to polyatomic gases. The main difference with respect to the usual procedure is the existence of two hierarchies of macroscopic equations for moments of suitable distribution function, in which the internal energy of a molecule is taken into account. The field equations for 14 moments of the distribution function, which include dynamic pressure, are derived. The entropy and the entropy flux are shown to be a generalization of the ones for classical Grad’s distribution. The results are in perfect agreement with the recent macroscopic approach of extended thermodynamics for real gases.

Suggested Citation

  • Pavić, Milana & Ruggeri, Tommaso & Simić, Srboljub, 2013. "Maximum entropy principle for rarefied polyatomic gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1302-1317.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:6:p:1302-1317
    DOI: 10.1016/j.physa.2012.12.006
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    References listed on IDEAS

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    1. Schönfeldt, J-H. & Jimenez, N. & Plastino, A.R. & Plastino, A. & Casas, M., 2007. "Maximum entropy principle and classical evolution equations with source terms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 573-584.
    2. Kremer, G.M., 1987. "Extended thermodynamics of non-ideal gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(1), pages 156-178.
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    Cited by:

    1. Takashi Arima & Maria Cristina Carrisi & Sebastiano Pennisi & Tommaso Ruggeri, 2022. "Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis," Partial Differential Equations and Applications, Springer, vol. 3(3), pages 1-21, June.

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