Dissipative Properties of Degenerate Relativistic Gases: The Complete Kernel Calculation in a d+1 Flat Space-Time

General analytic expressions for the thermal and viscous transport coefficients for a d -dimensional dilute gas are established from microscopic grounds. Both the kinetic theory formalism employed as well as the system considered are general enough in order to yield results for classical and degenerate systems with non-vanishing rest mass, for the whole range of temperatures, from newtonian to relativistic scenarios in the individual particles’ dynamics. The constitutive equations for the heat flux and the viscous tensor are established through the first order in the gradients Chapman-Enskog procedure, generalized to the relativistic scenario and considering the so-called fluid frame for the space-time decomposition. The expressions obtained for the transport coefficients are given in terms of collisional brackets and are thus valid for any interaction in a dilute situation. Moreover, such expressions could be able to shed light on the general behaviour of these coefficients. In particular, the positiveness of the bulk viscosity here obtained may be used in order to argue in favour of the Anderson-Witting model for a relaxation approximation, from this point of view.