Molecular extended thermodynamics: comparison between rarefied polyatomic and monatomic gas closures
Molecular extended thermodynamics: comparison between rarefied polyatomic and monatomic gas closures
复制标题
分子扩展热力学：稀薄多原子和单原子气体闭合之间的比较
DOI：
10.1007/s11587-016-0279-7
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发表时间：
2016
影响因子：
1.2
通讯作者：
M. Sugiyama and S. Taniguchi
中科院分区：
文献类型：
--
作者：
T. Arima;T. Ruggeri;M. Sugiyama and S. Taniguchi
在介观水平上，通过与玻尔兹曼方程相关联的矩方程证明了分子扩展热力学。对于多原子气体，我们有一个二元层次的时刻，与通常的单原子气体的单一层次。本文从一维空间变量出发，用与熵原理等价的最大熵原理讨论了多原子气体矩方程组的封闭性。然后，我们考虑奇异极限的自由度的分子的方法3，我们证明，通过施加适当的初始条件，多原子气体的解决方案收敛到单原子气体的。作为奇异极限的例子，本文简要介绍了基于线性化场方程组的线性波和光散射的渐近行为。
Molecular extended thermodynamics is justified at the mesoscopic level by the moment equations associated with the Boltzmann equation. For polyatomic gases we have a binary hierarchy of moments in contrast with the usual single hierarchy for monatomic gases. In this paper, taking one-dimensional space variables for simplicity, we review the closure of the system of the moment equations for polyatomic gases with the use of the maximum entropy principle, which is equivalent to the entropy principle. Then we consider the singular limit where the degrees of freedom of a molecule approach 3, and we prove that, by imposing appropriate initial conditions, the solutions for polyatomic gases converge to the ones for monatomic gases. As examples of the singular limit, the asymptotic behaviors of linear waves and light scattering based on the linearized system of field equations are briefly presented.