Dissipative relativistic extended thermodynamics of polyatomic gases in the Landau–Lifshitz description

This article presents and analyses a relativistic model for polyatomic gases within the Landau-Lifshitz framework, incorporating the contribution of internal energy arising from interactions between gas molecules. This model generalizes the one proposed by Cercignani and Kremer in 2001 for monatomic gases within the context of the Marle expansion. Specifically, in this paper a moment model is derived and its closure is determined by using the methods of Rational Extended Thermodynamics. This is compared with the one recently proposed by Arima, Carrisi, Pennisi, and Ruggeri, which employs a variant of the Anderson-Witting model in the Eckart frame. The analysis demonstrates 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. • The present model for polyatomic gas in the Landau-Lifshitz description takes account the total energy of the molecule. • 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.