Particle simulations of the semiconductor Boltzmann equation for one- dimensional inhomogeneous structures

DOI10.1016/0021-9991(90)90197-9zbMath0731.65121OpenAlexW1984586527MaRDI QIDQ808211

F. Guyot-Delaurens, Pierre Degond

Publication date: 1990

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90197-9

zbMATH Keywords

Poisson equationtest problemssemiconductor Boltzmann equationplasma oscillationsemiconductor device simulationssharp doping discontinuityweighted particle method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Technical applications of optics and electromagnetic theory (78A55) Numerical methods for integral transforms (65R10)

Related Items (8)

Parallel efficiency of the C.R.F. method on an IBM RS/6000 cluster platform ⋮ From the Boltzmann equation to generalized kinetic models in applied sciences ⋮ DETERMINISTIC PARTICLE SIMULATION OF MULTIHETEROJUNCTION SEMICONDUCTOR DEVICES: THE SEMICLASSICAL AND QUANTUM CASES ⋮ A new formulation and gauge invariance of the MW-CRF method for kinetic equations. ⋮ Energy conservation property of MW-CRF deterministic particle method ⋮ Computational macroscopic approximations to the one-dimensional relaxation-time kinetic system for semiconductors ⋮ Numerical Analysis of the Deterministic Particle Method Applied to the Wigner Equation ⋮ Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes

Cites Work

• Unnamed Item
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• A particle method for first-order symmetric systems
• FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
• Deterministic particle simulations of the Boltzmann transport equation of semiconductors
• Particle Methods for the One-Dimensional Vlasov–Poisson Equations
• MULTI‐DIMENSIONAL DISCRETIZATION SCHEME FOR THE HYDRODYNAMIC MODEL OF SEMICONDUCTOR DEVICES
• A deterministic particle method for the linearized Boltzmann equation
• On the derivation of the one dimensional Vlasov equation
• A fast algorithm for particle simulations

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