Multidimensional spherical harmonics expansion of Boltzmann equation for transport in semiconductors

DOI10.1016/0893-9659(92)90046-CzbMath0757.65129WikidataQ60584135 ScholiaQ60584135MaRDI QIDQ1195620

S. Singh

Publication date: 6 January 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

scattering matrixBoltzmann transport equationband structurespherical harmonics expansiontransport in semiconductorstwo-dimensional \(p-n\) junction

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05) Motion of charged particles (78A35)

Related Items (12)

On a hierarchy of macroscopic models for semiconductors ⋮ NUMERICAL METHODS FOR THE SEMICONDUCTOR BOLTZMANN EQUATION BASED ON SPHERICAL HARMONICS EXPANSIONS AND ENTROPY DISCRETIZATIONS ⋮ Kinetic boundary layers and fluid-kinetic coupling in semiconductors ⋮ DISSIPATIVE DISCRETIZATION METHODS FOR APPROXIMATIONS TO THE BOLTZMANN EQUATION ⋮ THE HIGH FIELD ASYMPTOTICS FOR DEGENERATE SEMICONDUCTORS ⋮ Short-range electron-electron scattering in silicon with a non-parabolic band structure ⋮ Matrix compression for spherical harmonics expansions of the Boltzmann transport equation for semiconductors ⋮ High electric field approximation to charge transport in semiconductor devices ⋮ Multidimensional spherical harmonics expansion of Boltzmann equation for transport in semiconductors ⋮ Hydrodynamic limit for an arc discharge at atmospheric pressure ⋮ Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes ⋮ An energy-transport model for semiconductors derived from the Boltzmann equation.

Uses Software

• CGS

Cites Work

• Multidimensional spherical harmonics expansion of Boltzmann equation for transport in semiconductors
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems

This page was built for publication: Multidimensional spherical harmonics expansion of Boltzmann equation for transport in semiconductors