A BGK model for charge transport in graphene

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 dynamics of different type of gases. An important example is the transport equation, which describes the charged particles flow, in the semi-cl...

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Main Author: Majorana Armando
Format: Article
Language:English
Published: Sciendo 2019-01-01
Series:Communications in Applied and Industrial Mathematics
Subjects:
boltzmann equation
bgk model
graphene
Online Access:http://www.degruyter.com/view/j/caim.2019.10.issue-1/caim-2019-0018/caim-2019-0018.xml?format=INT
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spelling doaj-5549aa0d27714b3a8bf1a1d92f73944e2020-11-25T00:42:32ZengSciendoCommunications in Applied and Industrial Mathematics2038-09092019-01-0110115316110.1515/caim-2019-0018caim-2019-0018A BGK model for charge transport in grapheneMajorana Armando0Department of Mathematics and Computer Science, University of Catania, ItalyThe 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.http://www.degruyter.com/view/j/caim.2019.10.issue-1/caim-2019-0018/caim-2019-0018.xml?format=INTboltzmann equationbgk modelgraphene
collection DOAJ
language English
format Article
sources DOAJ
author Majorana Armando
spellingShingle Majorana Armando
A BGK model for charge transport in graphene
Communications in Applied and Industrial Mathematics
boltzmann equation
bgk model
graphene
author_facet Majorana Armando
author_sort Majorana Armando
title A BGK model for charge transport in graphene
title_short A BGK model for charge transport in graphene
title_full A BGK model for charge transport in graphene
title_fullStr A BGK model for charge transport in graphene
title_full_unstemmed A BGK model for charge transport in graphene
title_sort bgk model for charge transport in graphene
publisher Sciendo
series Communications in Applied and Industrial Mathematics
issn 2038-0909
publishDate 2019-01-01
description 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.
topic boltzmann equation
bgk model
graphene
url http://www.degruyter.com/view/j/caim.2019.10.issue-1/caim-2019-0018/caim-2019-0018.xml?format=INT
work_keys_str_mv AT majoranaarmando abgkmodelforchargetransportingraphene
AT majoranaarmando bgkmodelforchargetransportingraphene
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