A drift-collision balance for a Boltzmann-Poisson system in bounded domains

SIAM Journal on Applied Mathematics

Volumn 61, Issue 6, 2001, Pages 1932-1958

  Cercignani, C ^a   Gamba, I M ^a   Levermore, C D ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Hydrodynamics; Mechanics of particles and systems; Scaling limits; Semiconductor models; Time relaxation kernel

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; ELECTRONS; HYDRODYNAMICS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; SEMICONDUCTING SILICON; SEMICONDUCTOR DEVICE MODELS;

BOLTZMANN POISSON SYSTEM; DRIFT COLLISION BALANCE; SCALING LIMITS; TIME RELAXATION KERNELS;

POISSON EQUATION;

EID: 0035705955     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139999360465     Document Type: Article

References (31)

1. The Milne and Kramers problems for the Boltzman equation of a hard sphere gas
2. Ballistic structure in the electron distribution function of small semiconducting structures: General features and specific trends
3. On a hierarchy of macroscopic models for semiconductors
4. The child-Langmuir law for the Boltzmann equation of semiconductors
5. An energy-transport model for semiconductors derived from the Boltzmann equation
6. Computational macroscopic approximations to the 1-D relaxation-time kinetic system for semiconductors
7. Half-space problems in the kinetic theory of gases
8. Methods of the kinetic theory of gases relevant to the kinetic models for semiconductors
9. A high field approximation to a Boltzmann-Poisson system in bounded domains
10. Device benchmark comparisons via kinetic, hydrodynamic, and high-field models
11. A domain decomposition method for silicon devices
12. High electric field approximation to charged transport in semiconductor devices
13. Conditions for run-away phenomena in the kinetic theory of particle swarms
14. A numerical method for computing asymptotic states and outgoing distributions for kinetic linear half space problems
15. Limite fluide des eq́uations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac
16. A numerical method for kinetic semiconductor equations in the drift-diffusion limit
17. Transport-models for advanced device simulation-truth or consequences?
18. On stresses in rarified gases arising from inequalities of temperature
19. Stationary solutions of boundary problems for a Maxwell-Boltzmann system modelling degenerate semiconductors
20. Runaway phenomena and fluid approximation under high fields in semiconductor kinetic theory
21. Derivation of a hydrodynamic systems hierarchy from the Boltzmann equation
22. A half-space problem for a nonlinear Boltzmann equation arising in semiconductor statistics
23. Hot-electron transport in semiconductors
24. Asymptotic analysis of the high field semiconductor Boltzmann equation
25. Current equations for velocity overshoot
26. Analytic solution of the Boltzmann equation with applications to electron in inhomogeneous semiconductors