Linearized Extended Thermodynamics for Stationary Heat Conduction in a Gas at Rest Confined to the Gap between two Tori

In this paper we refer to the field equations of the linearized 13-moment model to describe the stationary heat conduction problem in a gas at rest confined between two tori that are kept at two different constant temperatures. We will show that the temperature behavior, due to the linearization, coincides with the one predicted by the Fourier law of heat conduction. Nevertheless, unlike the classical thermodynamics, we have non-vanishing components of the stress tensor, although the gas is at rest. Moreover, we get a difference between the kinetic and the thermodynamic temperatures.