Derivation of second-order relativistic hydrodynamics for reactive multicomponent systems
Derivation of second-order relativistic hydrodynamics for reactive multicomponent systems
复制标题
反应多组分系统二阶相对论流体动力学的推导
DOI：
10.1103/physrevc.92.064909
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发表时间：
2015
影响因子：
3.1
通讯作者：
Teiji Kunihiro
中科院分区：
文献类型：
--
作者：
Yuta Kikuchi;Kyosuke Tsumura;Teiji Kunihiro
我们从相对论玻尔兹曼方程推导出反应多组分系统的二阶流体动力学方程。在反应系统中，粒子在碰撞过程中可以在所施加的守恒定律的限制下改变其种类。我们的推导基于重正化群方法，其中玻尔兹曼方程尽可能忠实地以有组织的扰动方法求解，并且通过适当设置分布函数的初始值来恢复可能的长期项。明确给出了弛豫时间和长度的微观公式以及反应性多组分系统的传输系数的微观公式。由这些公式得到的流体动力学方程具有良好的性质，满足熵产率的正性和Onsager倒数定理，保证了推导的有效性。
We derive the second-order hydrodynamic equation for reactive multicomponent systems from the relativistic Boltzmann equation. In the reactive system, particles can change their species under the restriction of the imposed conservation laws during the collision process. Our derivation is based on the renormalization-group method, in which the Boltzmann equation is solved in an organized perturbation method as faithfully as possible and possible secular terms are resummed away by a suitable setting of the initial value of the distribution function. The microscopic formulas of the relaxation times and the lengths are explicitly given as well as those of the transport coefficients for the reactive multicomponent system. The resultant hydrodynamic equation with these formulas has nice properties that it satisfies the positivity of the entropy-production rate and the Onsager's reciprocal theorem, which ensure the validity of our derivation.