THE HIGH FIELD ASYMPTOTICS FOR DEGENERATE SEMICONDUCTORS

DOI10.1142/S0218202501001252zbMath1012.82030OpenAlexW2035073643MaRDI QIDQ4798909

Hédia Chaker, Naoufel Ben Abdallah

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202501001252

zbMATH Keywords

maximum principlekinetic equationshigh field limitsemiconductor Boltzmann equationlinearization convergence rate

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (8)

Diffusive Limit of the Vlasov–Poisson–Fokker–Planck Model: Quantitative and Strong Convergence Results ⋮ Anomalous diffusion limit for a linear Boltzmann equation with external force field ⋮ THE HIGH FIELD ASYMPTOTICS FOR A FERMIONIC BOLTZMANN EQUATION: ENTROPY SOLUTIONS AND KINETIC SHOCK PROFILES ⋮ Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system ⋮ Convergence to the equilibrium for the Pauli equation without detailed balance condition ⋮ On the Diffusion Limit of a Semiconductor Boltzmann–Poisson System Without Micro-Reversible Process ⋮ On Well-Posedness of a Boltzmann-Like Semiconductor Model ⋮ Diffusive corrections to asymptotics of a strong-field quantum transport equation

Cites Work

• High electric field approximation to charge transport in semiconductor devices
• Multidimensional spherical harmonics expansion of Boltzmann equation for transport in semiconductors
• High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor
• An energy-transport model for semiconductors derived from the Boltzmann equation.
• Extended thermodynamics tested beyond the linear regime: The case of electron transport in silicon semiconductors
• RUNAWAY PARTICLES FOR A BOLTZMANN-LIKE TRANSPORT EQUATION
• ELASTIC AND DRIFT–DIFFUSION LIMITS OF ELECTRON–PHONON INTERACTION IN SEMICONDUCTORS
• Runaway Phenomena and Fluid Approximation Under High Fields in Semiconductor Kinetic Theory
• On a hierarchy of macroscopic models for semiconductors
• On a System of Nonlinear Boltzmann Equations of Semiconductor Physics
• High field approximations of the spherical harmonics expansion model for semiconductors

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