Discontinuous Galerkin approach for the simulation of charge transport in graphene

DOI10.1007/s11587-020-00530-8zbMath1469.82044OpenAlexW3039858307MaRDI QIDQ2037916

Giovanni Nastasi, Vittorio Romano

Publication date: 8 July 2021

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-020-00530-8

zbMATH Keywords

Boltzmann equationdiscontinuous Galerkin methodcharge transportgraphenegraphene field effect transistor (GFET)

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Transport processes in time-dependent statistical mechanics (82C70) Boltzmann equations (35Q20) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (3)

Direct Simulation of Charge Transport in Graphene Nanoribbons ⋮ Optimal control of a semiclassical Boltzmann equation for charge transport in graphene ⋮ Comparing Kinetic and MEP Model of Charge Transport in Graphene

Uses Software

• GFET

Cites Work

• A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations
• A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices
• Cross validation of discontinuous Galerkin method and Monte Carlo simulations of charge transport in graphene on substrate
• A hierarchy of macroscopic models for phonon transport in graphene
• A full coupled drift-diffusion-Poisson simulation of a GFET
• Hydrodynamical model for charge transport in graphene
• Improved mobility models for charge transport in graphene
• Quantum corrected hydrodynamic models for charge transport in graphene
• DSMC method consistent with the Pauli exclusion principle and comparison with deterministic solutions for charge transport in graphene
• Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle
• Monte Carlo Analysis of Thermal Effects in Monolayer Graphene
• Simulation of Bipolar Charge Transport in Graphene by Using a Discontinuous Galerkin Method
• Charge Transport in Low Dimensional Semiconductor Structures
• Charge Transport in Graphene including Thermal Effects

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