The complete set of transport coefficients for two dimensional relativistic degenerate gases is derived within a relaxation approximation in kinetic theory, by considering both the particle and energy frames. A thorough comparison between Marle and Anderson–Witting’s models is carried out, pointing out the drawbacks of the former when compared both to the latter and to the full Boltzmann equation results in the non-degenerate limit. Such task is accomplished by solving the relativistic Uehling–Uhlenbeck equation, in both the particle and energy frames, in order to establish the constitutive equations for the heat flux and the Navier tensor together with analytical expressions for the transport coefficients in such representations. In particular, the temperature dependence of the thermal conductivity (associated with a generalized thermal force) and the bulk and shear viscosities are analyzed and compared within both models and with the non-degenerate, non-relativistic and ultra-relativistic limits.

二维相对论简并气体的输运系数的完整集合是在动力学理论的弛豫近似范围内，通过考虑粒子框架和能量框架而得出的。对Marle和Anderson-Witting的模型进行了彻底的比较，指出了前者与后者和完整的Boltzmann方程相比所存在的缺点，导致了不退化的极限。通过在粒子和能量框架中求解相对论性的Uehling-Uhlenbeck方程，可以完成这一任务，从而建立热通量和Navier张量的本构方程以及在这些表示形式中的传输系数的解析表达式。特别是，