Relativistic plasma viscosity of the Burnett kind

Hydrodynamic equations to describe relativistic and ultrarelativistic plasm a dynamics were obtained by Dzhavakhishvili and Tsintsadze [Sov. Phys. JETP 37, 666 (1973)] using the Chapman and Enskog scheme to solve the relativis tic 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 thi s paper we employ the extended Grad method to derive hydrodynamic equations which include ultrarelativistic viscosities of the Burnett type, i.e., vis cosities that depend not only on derivatives of che particle macroscopic ve locities but also on derivatives of particle heat fluxes. [S1063-651X(99)04 010-6].