后牛顿玻尔兹曼方程的弛豫时间模型
Relaxation-Time Model for the Post-Newtonian Boltzmann Equation
AI总结：
本文基于后牛顿玻尔兹曼方程的弛豫时间模型，利用Chapman-Enskog方法确定后牛顿流体力学方程的非平衡贡献，推导出粘性应力和热通量本构方程，并证明输运系数依赖于牛顿引力势。
摘要：
后牛顿流体力学方程的非平衡贡献由后牛顿玻尔兹曼方程的弛豫时间模型确定。使用Chapman-Enskog方法计算非平衡分布函数。根据非平衡和后牛顿平衡Maxwell-Jüttner分布函数的知识求得能量-动量张量的分量。通过考虑场的平面波表示，研究了质量、动量和内能密度的线性化场方程与后牛顿近似的三个Poisson方程的耦合。得到了粘性应力和热通量矢量的本构方程，并证明了剪切粘度和热导率的输运系数确实依赖于牛顿引力势。
英文摘要：
The non-equilibrium contributions to the post-Newtonian hydrodynamic equations are determined from a relaxation-time model of the post-Newtonian Boltzmann equation. The Chapman-Enskog method is used to calculate the non-equilibrium distribution function. The components of the energy-momentum tensor are found from the knowledge of the non-equilibrium and the post-Newtonian equilibrium Maxwell-Jüttner distribution functions. The linearized field equations for the mass, momentum and internal energy densities coupled with the three Poisson equations of the post-Newtonian approximation are investigated by considering a plane wave representation of the fields. The constitutive equations for the viscous stress and heat flux vector are obtained and it is shown that the transport coefficients of shear viscosity and heat conductivity do depend on the Newtonian gravitational potential.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
