<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 standard Boltzmann integral term. These new equations are called kinetic models. The most popular and widely used kinetic model is the Bhatnagar-Gross-Krook (BGK) model. In this work we propose and analyse a BGK model for charge transport in graphene.</p></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 standard Boltzmann integral term. These new equations are called kinetic models. The most popular and widely used kinetic model is the Bhatnagar-Gross-Krook (BGK) model. In this work we propose and analyse a BGK model for charge transport in graphene.

A BGK model for charge transport in graphene

Department of Mathematics and Computer Science

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A BGK model for charge transport in graphene"}

The classical Boltzmann equation describes well temporal behaviour of a rarefied perfect gas. Modified kinetic equations have been proposed for studying the...

A BGK model for charge transport in graphene

Published Online: Aug 12, 2019

Page range: 153 - 161

Received: Oct 20, 2018

Accepted: Jul 25, 2019

DOI: https://doi.org/10.1515/caim-2019-0018

Keywords
Boltzmann equation, BGK model, graphene

© 2019 Armando Majorana, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A BGK model for charge transport in graphene

Published Online: Aug 12, 2019

Page range: 153 - 161

Received: Oct 20, 2018

Accepted: Jul 25, 2019

DOI: https://doi.org/10.1515/caim-2019-0018

KeywordsBoltzmann equation, BGK model, graphene

© 2019 Armando Majorana, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Boltzmann equation, BGK model, graphene