Some fluid-dynamic models for quantum electron transport in graphene via entropy minimization
Mathematical Physics
2019-05-27 v1 math.MP
Abstract
We derive some fluid-dynamic models for electron transport near a Dirac point in graphene. We start from a kinetic model constituted by a set of spinorial Wigner equations, we make suitable scalings (hydrodynamic or diffusive) of the model and we build moment equations, which we close through a minimum entropy principle. In order to do this we make some assumptions: the usual semiclassical approximation (), and two further hypothesis, namely Low Scaled Fermi Speed (LSFS) and Strongly Mixed State (SMS), which allow us to explicitly compute the closure.
Cite
@article{arxiv.1905.10185,
title = {Some fluid-dynamic models for quantum electron transport in graphene via entropy minimization},
author = {Nicola Zamponi},
journal= {arXiv preprint arXiv:1905.10185},
year = {2019}
}