Quantum Navier-Stokes equations for electrons in graphene
Mesoscale and Nanoscale Physics
2022-11-15 v1 Quantum Physics
Abstract
The Chapman-Enskog method, in combination with the quantum maximum entropy principle, is applied to the Wigner equation in order to obtain quantum Navier-Stokes equations for electrons in graphene in the isothermal case. The derivation is based on the quantum version of the maximum entropy principle and follows the lines of Ringhofer-Degond-M\'ehats' theory (J. Stat. Phys. 112, 2003 and Z. Angew. Math. Mech. 90, 2010). The model obtained in this way is then semiclassically expanded up to .
Keywords
Cite
@article{arxiv.2211.07391,
title = {Quantum Navier-Stokes equations for electrons in graphene},
author = {Luigi Barletti and Lucio Demeio and Sara Nicoletti},
journal= {arXiv preprint arXiv:2211.07391},
year = {2022}
}