Hydrodynamic equations for an electron gas in graphene
arXiv:1509.04843
Abstract
In this paper we review, and extend to the non-isothermal case, some results concerning the application of the maximum entropy closure technique to the derivation of hydrodynamic equations for particles with spin-orbit interaction and Fermi-Dirac statistics. In the second part of the paper we treat in more details the case of electrons on a graphene sheet and investigate various asymptotic regimes.
To appear on the special issue ECMI2014 of Journal of Mathematics in Industry