Quantum High-Field Corrections to a Drift-Collision Balance Model of Semiconductor Transport

DOI10.1080/00411450802526293zbMath1156.82387OpenAlexW2137744649MaRDI QIDQ3612798

Giovanni Borgioli, Giovanni Frosali, Chiara Manzini

Publication date: 10 March 2009

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450802526293

zbMATH Keywords

Chapman-Enskog expansionquantum hydrodynamic modelsWigner transport equationhigh-field asymptotics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70)

Cites Work

• Derivation of a hydrodynamic system hierarchy for semiconductors from the Boltzmann equation
• A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities
• On the generators of quantum dynamical semigroups
• An energy-transport model for semiconductors derived from the Boltzmann equation.
• Quantum-corrected drift-diffusion models for transport in semiconductor devices
• Quantum energy-transport and drift-diffusion models
• Physical and numerical viscosity for quantum hydrodynamics
• A Drift-Collision Balance for a Boltzmann--Poisson System in Bounded Domains
• Runaway Phenomena and Fluid Approximation Under High Fields in Semiconductor Kinetic Theory
• The Quantum Hydrodynamic Model for Semiconductor Devices
• On the Quantum Correction For Thermodynamic Equilibrium
• Multi-Scale Modeling of Quantum Semiconductor Devices
• Dispersive effects in quantum kinetic equations
• A Hierarchy of Diffusive Higher-Order Moment Equations for Semiconductors
• Computational macroscopic approximations to the one-dimensional relaxation-time kinetic system for semiconductors
• High-field approximations of the energy-transport model for semiconductors with non-parabolic band structure

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