Redheffer products and numerical approximation of currents in one-dimensional semiconductor kinetic models (Articolo in rivista)

Type

• Articolo in rivista (Classe)
• Prodotto della ricerca (Classe)

Label

• Redheffer products and numerical approximation of currents in one-dimensional semiconductor kinetic models (Articolo in rivista) (literal)

Anno

• 2014-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1137/130939584 (literal)

Alternative label

• Laurent Gosse (2014)
  Redheffer products and numerical approximation of currents in one-dimensional semiconductor kinetic models
  in Multiscale modeling & simulation (Online)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Laurent Gosse (literal)

Pagina inizio

• 1533 (literal)

Pagina fine

• 1560 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 12 (literal)

Rivista

• Multiscale modeling & simulation (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• IAC \"Mauro Picone\" (literal)

Titolo

• Redheffer products and numerical approximation of currents in one-dimensional semiconductor kinetic models (literal)

Abstract

• When numerically simulating a kinetic model of an n+nn+ semiconductor device, obtaining a constant macroscopic current at steady state is still a challenging task. Part of the difficulty comes from the multiscale, discontinuous nature of both p|n junctions, which create spikes in the electric field and enclose a channel where corresponding depletion layers glue together. The kinetic formalism furnishes a model holding inside the whole domain, but at the price of strongly varying parameters. By concentrating both the electric acceleration and the linear collision terms at each interface of a Cartesian computational grid, we can treat them by means of a Godunov scheme involving two types of scattering matrices. Combining both these mechanisms into a global Smatrix can be achieved thanks to \"Redheffer's star-product.\" Assuming that the resulting S-matrix is stochastic permits us to prove maximum principles under a mild CFL restriction. Numerical illustrations of collisional Landau damping and various n+nn+ devices are provided on coarse grids. (literal)

Prodotto di

• Trasmissione di segnali intracellulari (INT.P02.004.002) (Modulo)
• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)

Autore CNR

• LAURENT GOSSE (Unità di personale interno)

Incoming links:

Prodotto

• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)
• Trasmissione di segnali intracellulari (INT.P02.004.002) (Modulo)

Autore CNR di

• LAURENT GOSSE (Unità di personale interno)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Multiscale modeling & simulation (Rivista)