Relativistic extended thermodynamics of polyatomic gases in the Landau and Lifshitz description

• Published in: International journal of non-linear mechanics Vol. 135; p. 103756
• Main Authors: Carrisi, M.C., Pennisi, S.
• Format: Journal Article
• Language: English
• Published: New York Elsevier Ltd 01-10-2021; Elsevier BV
• Subjects: Polyatomic gases; Rarefied polyatomic gases; Rational extended thermodynamics; Relativistic effects; Relativistic fluids; Rational extended thermodynamics; Rarefied polyatomic gases; Relativistic fluids
• ISSN: 0020-7462; 1878-5638
• DOI: 10.1016/j.ijnonlinmec.2021.103756

In this article we generalize to polyatomic gases the moment closure of the relativistic Anderson–Witting model proposed by Cercignani and Kremer in the monatomic case, that uses the four-velocity in the Landau–Lifshitz description. A moment model is derived and compared with that recently proposed by Pennisi and Ruggeri using a variant of the Anderson–Witting model in an Eckart frame, obtaining that the balance equations and the collision term are equivalent up to first order with respect to equilibrium.
•We generalize the relativistic model by Cercignani and Kremer to polyatomic gases.•We propose the first RET model for polyatomic gas in the Landau–Lifshitz description.•We find the closure for the model.•The model is equivalent to those already existing in the Eckart frame, up to first order with respect to equilibrium.