We derive multicomponent relativistic second-order dissipative fluid dynamics from the Boltzmann equations for a reactive mixture of $N_{\mathrm{spec}}$ particle species with $N_q$ intrinsic quantum numbers (e.g., electric charge, baryon number, and strangeness) using the method of moments. We obtain the continuity equations for multiple conserved charges as well as the conservation equations for the total energy and momentum in the single-fluid approximation. These $4+N_q$ conservation laws are closed by deriving the second-order equations of motion for the dissipative quantities in the $(10+4N_q)$-moment approximation. The resulting fluid-dynamical equations are formally similar to those of a single-component system, but feature different thermodynamic relations and transport coefficients. We derive general relations for all transport coefficients and compute them explicitly in the ultrarelativistic limit.

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来自玻尔兹曼方程的多分量相对论耗散流体动力学

我们从玻尔兹曼方程推导出多分量相对论二阶耗散流体动力学，用于反应混合物${ñ}_{\mathrm{规格}}$粒子种类${ñ}_q$使用矩量法的内在量子数（例如，电荷、重子数和奇异性）。我们得到了多个守恒电荷的连续性方程以及单流体近似中总能量和动量的守恒方程。这些$4+{ñ}_q$守恒定律是通过导出运动中耗散量的二阶方程来闭合的$(10+4{ñ}_q)$-矩近似。由此产生的流体动力学方程在形式上类似于单组分系统，但具有不同的热力学关系和传输系数。我们推导出所有传输系数的一般关系，并在超相对论极限中明确计算它们。