# Quantum electronic trasport in graphene: a kinetic and fluid-dynamic approach

## TL;DR

This paper develops a fluid-dynamic model for electron transport in graphene near the Dirac point, using a minimum entropy principle and novel approximations to describe quantum mixed states.

## Contribution

It introduces a new derivation of fluid-dynamic equations for quantum states in graphene based on entropy principles and specific approximations.

## Key findings

- Derived a closed-form fluid-dynamic model for graphene electron transport.
- Identified particular solutions of physical interest.
- Utilized a novel 'strongly-mixed state' approximation.

## Abstract

We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to close fluid-dynamic equations for quantum mixed states. To this aim we make two main approximations: the usual semiclassical approximation ($\hbar \ll 1$) and a new one, namely the `strongly-mixed state' approximation. Particular solutions of the fluid-dynamic equations are discussed which are of physical interest.