Contents -- Preface -- 1. Introduction -- 2. The Bloch-Boltzmann-Peierls Equations -- 2.1 Introduction -- 2.2 Electrons in Semiconductors -- 2.3 Phonons in Semiconductors -- 2.4 Scattering Mechanisms -- 2.4.1 General Theory of Scattering -- 2.4.2 Phonon Scattering -- 2.4.2.1 Non-polar Phonon Scattering -- 2.4.2.2 Polar Phonon Scattering -- 2.4.3 Ionized Impurity Scattering -- 2.5 Semiclassical Dynamics of Electrons -- 2.6 The Bloch-Boltzmann-Peierls Equations -- 2.7 Mathematical Properties of the BBP Equations -- 3. Multigroup Model Equations for Polar Semiconductors -- 3.1 Introduction -- 3.2 Multigroup Equations to the Bloch-Boltzmann-Peierls Equations -- 3.2.1 The Electron Boltzmann Equation -- 3.2.2 The LO Phonon Boltzmann Equation -- 3.2.3 The Coupling POP Interaction Term -- 3.2.4 The Evaluation of the Collision Coefficients -- 3.3 Conservation Laws -- 4. Particle Transport in Indium Phosphide -- 4.1 Introduction -- 4.2 Two-valley Model -- 4.2.1 Validation of the Method -- 4.2.2 Electron Distribution Function -- 4.2.3 Phonon Distribution Function -- 4.2.4 Transport Parameters -- 4.3 Three-valley Model -- 5. Particle Transport in Gallium Arsenide -- 5.1 Introduction -- 5.2 Transport in a Time-dependent Electric Field -- 5.3 The Stationary-state Electron Distribution -- 6. Multigroup Equations for Degenerated Carrier Gases -- 6.1 Introduction -- 6.2 The Bloch-Boltzmann-Peierls Equations -- 6.3 The Multigroup Model Equations -- 6.4 Mathematical Aspects of the Multigroup Model Equations -- 6.4.1 Boundedness of the Solution -- 6.4.2 Conservation Laws -- 6.4.3 H-theorem -- 6.4.4 Equilibrium Solution -- 6.5 Numerical Results -- 7. The Two-dimensional Electron Gas -- 7.1 Introduction -- 7.2 General Theory of Transport in Confined Systems -- 7.2.1 Dispersion Laws -- 7.2.2 Scattering Mechanisms -- 7.2.2.1 Acoustic Deformation Potential Scattering.

7.2.2.2 Piezoelectric Scattering -- 7.2.2.3 Polar Optical Phonon Scattering -- 7.2.2.4 Screening Effects -- 7.2.3 BBP Equations for 2D Systems -- 7.3 Multigroup Equations to the 2D-BBP Equations -- 7.4 Transport in A1xGa1-xN/GaN -- 7.4.1 Self-consistent Solution for Confining Potential -- 7.4.2 Transport Properties -- 7.4.3 Distribution Functions -- 8. The Multigroup-WENO Solver for Semiconductor Device Simulation -- 8.1 Introduction -- 8.2 The Boltzmann-Poisson System -- 8.3 The Multigroup-WENO Scheme -- 9. Simulation of Silicon Devices -- 9.1 Introduction -- 9.2 Transport in Bulk Silicon -- 9.3 The Silicon n+ - n - n+ Diode -- 9.4 The Si-MESFET -- 9.5 The Si-MOSFET -- 10. Simulation of Gallium Arsenide Devices -- 10.1 Introduction -- 10.2 Bulk GaAs -- 10.3 The GaAs n+ - ni - n+ Diode -- 10.4 The GaAs-MESFET -- 11. Conclusion -- Bibliography -- Related Publications of the Author -- Index.