A BGK model for charge transport in graphene
@article{Majorana2018ABM, title={A BGK model for charge transport in graphene}, author={Armando Majorana}, journal={Communications in Applied and Industrial Mathematics}, year={2018}, volume={10}, pages={153 - 161} }
Abstract The classical Boltzmann equation describes well temporal behaviour of a rarefied perfect gas. Modified kinetic equations have been proposed for studying the dynamics of different type of gases. An important example is the transport equation, which describes the charged particles flow, in the semi-classical regime, in electronic devices. In order to reduce the difficulties in solving the Boltzmann equation, simple expressions of a collision operator have been proposed to replace the…
References
SHOWING 1-9 OF 9 REFERENCES
Cross validation of discontinuous Galerkin method and Monte Carlo simulations of charge transport in graphene on substrate
- Physics
- 2017
The aim of this work is to simulate the charge transport in a monolayer graphene on a substrate. This requires the inclusion of the scatterings of the charge carriers with the impurities and the…
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
- Physics
- 1954
A kinetic theory approach to collision processes in ionized and neutral gases is presented. This approach is adequate for the unified treatment of the dynamic properties of gases over a continuous…
The quantum Boltzmann equation in semiconductor physics
- Physics
- 2011
The quantum Boltzmann equation, or Fokker‐Planck equation, has been used to successfully explain a number of experiments in semiconductor optics in the past two decades. This paper reviews some of…
A short review on the derivation of the nonlinear quantum Boltzmann equations
- Physics
- 2007
In this review paper we describe the problem of deriving a Boltzmann equation for a system of N interacting quantum particles, under the appropriate scaling limits. We mainly follow the approach…
Electronic properties of graphene
- ChemistryReviews of Modern Physics
- 2009
Graphene is the first example of truly two‐dimensional crystals – it's just one layer of carbon atoms. It turns out that graphene is a gapless semiconductor with unique electronic properties…
The mathematical theory of non-uniform gases
- Physics
- 1939
The classic work on the mathematical theory of viscosity, thermal conduction and diffusion in non-uniform gases, based on the solution of the Maxwell-Boltzmann equations. This edition has been reset…
Charge transport and mobility in monolayer graphene
- PhysicsJournal of Mathematics in Industry
- 2016
For electron devices that make use of innovative materials, a basic step in the development of models and simulation computer aided design (CAD) tools is the determination of the mobility curves for…
DSMC method consistent with the Pauli exclusion principle and comparison with deterministic solutions for charge transport in graphene
- PhysicsJ. Comput. Phys.
- 2015
Nonequilibrium dynamics of photoexcited electrons in graphene : collinear scattering, Auger processes, and the impact of screening
- Physics
- 2013
We present a combined analytical and numerical study of the early stages (sub-100-fs) of the nonequilibrium dynamics of photoexcited electrons in graphene. We employ the semiclassical Boltzmann…