Work

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

Year: 2025

Type: article

Abstract: 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.

Source: International Journal of Non-Linear Mechanics

DOI: 10.1016/j.ijnonlinmec.2025.105154

Author: M.C. Carrisi

Institution: University of Cagliari

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Gruppo Nazionale per la Fisica Matematica