# A BGK model for charge transport in graphene

## TL;DR

This paper introduces and analyzes a BGK kinetic model tailored for charge transport phenomena in graphene, aiming to simplify the complex Boltzmann equation while capturing essential microscopic behaviors.

## Contribution

The paper proposes a novel BGK model specifically designed for charge transport in graphene, extending kinetic theory applications to this material.

## Key findings

- The model effectively approximates charge transport in graphene.
- Analytical and numerical analysis demonstrates the model's accuracy.
- The approach simplifies computations compared to the full Boltzmann equation.

## Abstract

The Boltzmann equation describes the detailed microscopic behaviour of a dilute gas, and represents the basis of the kinetic theory of gases. In order to reduce the difficulties in solving the Boltzmann equation, simple expressions of a collision operator have been proposed to replace the true 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.