Extended entropy and irreversible thermodynamics of a Lorentz diffusive gas

In a recent paper by Gaspard et al. [Physica A 323 (2003) 294] it was shown in detail that the Lorentz diffusive gas is compatible with irreversible thermodynamics at the local-equilibrium level of description. In this short note we point out that this compatibility with irreversible thermodynamics remains valid, but with a larger domain of physical situations, when one includes in the entropy second-order terms of the diffusion flux.