论文标题
稀有多原子气体的分子扩展热力学，并具有新的矩层次结构
Molecular Extended Thermodynamics of Rarefied Polyatomic Gases with a new Hierarchy of Moments
论文作者
论文摘要
最近，Pennisi和Ruggeri [J Stat Phys 179，231-246（2020）]考虑了与Boltzmann-Chernikov方程相关的相对论理论的经典限制。特别是，在多原子气体中，存在一个新的时刻等级，比最近的文献中所考虑的更一般。结果，当$ n = 2 $，在经典限制下，有一个理论，有$ 15 $字段。在本文中，我们考虑了这种时刻系统，并使用最大熵原理关闭了系统。结果表明，该理论包含作为主要子系统的先前多原子$ 14 $字段理论，而在单变性极限中，动态压力消失了，差异系统会收敛到13-Moments System to Kremer [Annales de l'I.H.P。 TheniqueThéorique，45，419-440（1986）]。
Recently, Pennisi and Ruggeri [J Stat Phys 179, 231-246 (2020)] consider the classical limit of the relativistic theory of moments associated with the Boltzmann-Chernikov equation truncated at a tensorial index $N+1$ and they proved that there exists a unique possible choice of the moments in the classical case for a given $N$ both for monatomic and polyatomic gases. In particular, in polyatomic gases, there exists a new hierarchy of moments that is more general than the one considered in the recent literature. As consequence, when $N=2$, in the classical limit, there is a theory with $15$ fields. In this paper, we consider this system of moments, and we close the system using the maximum entropy principle. It is shown that the theory contains as a principal subsystem the previously polyatomic $14$ fields theory, and in the monatomic limit, in which the dynamical pressure vanishes, the differential system converges instead to Grad 13-moments system to the 14 moments theory proposed by Kremer [Annales de l'I.H.P. Physique théorique, 45, 419-440 (1986)].
