Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle

DOI10.1063/1.4886698zbMath1301.82072arXiv1311.5392OpenAlexW1980575196MaRDI QIDQ3189949

Luigi Barletti

Publication date: 12 September 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5392

zbMATH Keywords

hydrodynamic equationgraphenefermionsEuler-like equationMaxwell-Boltzmann regime

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Euler equations (35Q31) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (18)

Mathematical modelling of charge transport in graphene heterojunctions ⋮ A new formula for thermal conductivity based on a hierarchy of hydrodynamical models ⋮ Direct Simulation of Charge Transport in Graphene Nanoribbons ⋮ Hybrid Classical-Quantum Models for Charge Transport in Graphene with Sharp Potentials ⋮ Particle Dynamics in Graphene: Collimated Beam Limit ⋮ Monte Carlo Analysis of Thermal Effects in Monolayer Graphene ⋮ Some Electric, Thermal, and Thermoelectric Properties of Suspended Monolayer Graphene ⋮ Mathematical aspects and simulation of electron-electron scattering in graphene ⋮ Wigner equations for phonons transport and quantum heat flux ⋮ An improved 2D-3D model for charge transport based on the maximum entropy principle ⋮ A full coupled drift-diffusion-Poisson simulation of a GFET ⋮ Simulation of Bipolar Charge Transport in Graphene by Using a Discontinuous Galerkin Method ⋮ Quantum transmission conditions for diffusive transport in graphene with steep potentials ⋮ Discontinuous Galerkin approach for the simulation of charge transport in graphene ⋮ Improved mobility models for charge transport in graphene ⋮ Quantum corrected hydrodynamic models for charge transport in graphene ⋮ Assessment of the Constant Phonon Relaxation Time Approximation in Electron–Phonon Coupling in Graphene ⋮ Comparing Kinetic and MEP Model of Charge Transport in Graphene

Cites Work

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