Tsypin V S, Galvão R M, Nascimento I C, Tsintsadze N L, Tsintsadze L N, Tendler M, Neto J P
Physics Institute, University of São Paulo, Cidade Universitaria 05508-900, Sào Paulo, Brazil.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Oct;60(4 Pt B):4754-9. doi: 10.1103/physreve.60.4754.
Hydrodynamic equations to describe relativistic and ultrarelativistic plasma dynamics were obtained by Dzhavakhishvili and Tsintsadze [Sov. Phys. JETP 37, 666 (1973)] using the Chapman and Enskog scheme to solve the relativistic kinetic equations for the different plasma species. This approach leads to a representation of the particle viscosities in the Navier-Stokes form and, therefore, some relevant physical processes, such as the Burnett type of particle viscosity, cannot be properly dealt with in this scheme. In this paper we employ the extended Grad method to derive hydrodynamic equations which include ultrarelativistic viscosities of the Burnett type, i.e., viscosities that depend not only on derivatives of the particle macroscopic velocities but also on derivatives of particle heat fluxes.
贾瓦基什维利和钦察泽[《苏联物理杂志：喷气推进》37, 666 (1973)]通过查普曼-恩斯科格方法求解不同等离子体种类的相对论动力学方程，得到了描述相对论和超相对论等离子体动力学的流体动力学方程。这种方法导致了粒子黏度以纳维-斯托克斯形式表示，因此，一些相关的物理过程，如伯内特型粒子黏度，在该方法中无法得到妥善处理。在本文中，我们采用扩展的格拉德方法来推导流体动力学方程，该方程包括伯内特型的超相对论黏度，即不仅依赖于粒子宏观速度导数，还依赖于粒子热流导数的黏度。
