Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle
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Publication:3189949
DOI10.1063/1.4886698zbMath1301.82072arXiv1311.5392OpenAlexW1980575196MaRDI QIDQ3189949
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
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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- Two spinorial drift-diffusion models for quantum electron transport in graphene
- Some fluid-dynamic models for quantum electron transport in graphene via entropy minimization
- Derivation of isothermal quantum fluid equations with Fermi-Dirac and Bose-Einstein statistics
- Simulation of a double-gate MOSFET by a non-parabolic energy-transport subband model for semiconductors based on the maximum entropy principle
- Diffusive limit of the two-band \(k\cdot p\) model for semiconductors
- The Boltzmann equation and its applications
- The maximum entropy method
- Moment closure hierarchies for kinetic theories.
- Diffusive semiconductor moment equations using Fermi-Dirac statistics
- Hydrodynamical model for charge transport in graphene
- Analysis of models for quantum transport of electrons in graphene layers
- Quantum electronic transport in graphene: A kinetic and fluid-dynamic approach
- Wigner model for quantum transport in graphene
- Quantum hydrodynamic models from a maximum entropy principle
- Exact Maximum Entropy Closure of the Hydrodynamical Model for Si Semiconductors: The 8-Moment Case
- Kinetic and Hydrodynamic Models for Multi-Band Quantum Transport in Crystals
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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