A comprehensive hydrodynamical model for charge transport in graphene

Author

Mascali, Giovanni ; Romano, Vittorio

Author_Institution

Dept. of Math. & Comput. Sci., Univ. of Calabria, Rende, Italy

fYear

2014

fDate

3-6 June 2014

Firstpage

1

Lastpage

4

Abstract

In this paper we present a hydrodynamical model for the charge and the heat transport in graphene. The macroscopic variables are moments of the electron, hole and phonon distribution functions, and their evolution equations are derived from the Boltzmann equations by integration. The system of equations is closed by means of the maximum entropy principle and all the main scattering mechanisms are taken into account. Numerical simulations are presented in the case of a suspended graphene monolayer.

Keywords

Boltzmann equation; charge exchange; graphene; heat transfer; maximum entropy methods; monolayers; numerical analysis; phonons; Boltzmann equations; C; charge transport; electron distribution functions; heat transport; hole distribution functions; hydrodynamical model; macroscopic variables; maximum entropy principle; numerical simulations; phonon distribution functions; suspended graphene monolayer; Charge carrier processes; Computational modeling; Equations; Graphene; Mathematical model; Optical scattering; Phonons;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Electronics (IWCE), 2014 International Workshop on

Conference_Location

Paris

Type

conf

DOI

10.1109/IWCE.2014.6865866

Filename

6865866