Quantum electronic trasport in graphene: a kinetic and fluid-dynamic approach
Mathematical Physics
2019-05-27 v1 math.MP
Abstract
We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to close fluid-dynamic equations for quantum mixed states. To this aim we make two main approximations: the usual semiclassical approximation () and a new one, namely the `strongly-mixed state' approximation. Particular solutions of the fluid-dynamic equations are discussed which are of physical interest.
Keywords
Cite
@article{arxiv.1905.10184,
title = {Quantum electronic trasport in graphene: a kinetic and fluid-dynamic approach},
author = {Nicola Zamponi and Luigi Barletti},
journal= {arXiv preprint arXiv:1905.10184},
year = {2019}
}