Macroscopic models for ionization in the presence of strong electric fields

References

• Ben Abdallah , N. and Degond , P. 1996 . On a hierarchy of macroscopic models for semiconductors . J. Math. Phys. , 37 : 3306 – 3333 .
   Web of Science ®Google Scholar
• Ben Abdallah , N. , Degond , P. , Markowich , P. A. and Schmeiser , C. 1998 . High field approximations of the spherical harmonics expansion model for semiconductors , TU Wien : manuscript .
   Google Scholar
• Degond , P. and Lucquin-Desreux , B. 1996 . The asymptotics of collision operators for two species of particles of disparate mass . Math. Models Methods Appl. Sci. , 6 : 405 – 436 .
   Web of Science ®Google Scholar
• Degond , P. and Lucquin-Desreux , B. 1996 . Transport coefficients of plasmas and disparate mass binary gases . Transp. Th. and Stat. Phys. , 25 : 595 – 633 .
   Google Scholar
• Dmitruk , P. , Saul , A. and Reyna , L. 1992 . High electric field approximation to charge transport in semiconductor devices . Appl. Math. Letters , 5 : 99 – 102 .
   Web of Science ®Google Scholar
• Lebowitz , J. L. and Rokhlenko , A. 1998 . Hydrodynamical equation for electron swarms , Rutgers University . preprint
   Google Scholar
• Liboff , R. L. 1990 . “ Kinetic Theory ” . In Classical Quantum and Relativistic Descriptions , Prentice Hall International .
   Google Scholar
• Nouri , A. and de La Bourdonnaye , A. 1997 . Ionization and recombination in plasmas . J. Stat. Phys. , 87 : 643 – 660 .
   Web of Science ®Google Scholar
• Nouri , A. and Schmeiser , C. A diffusion approximation of ionizing collisions in weakly ionized plasmas . in preparation
   Google Scholar
• Raizer , Y. 1994 . Gas Discharge Physics , Springer Verlag .
   Google Scholar
• Schmeiser , C. and Zwirchmayr , A. 1998 . Elastic and drift-diffusion limits of electron-phonon interaction in semiconductors . Math. Models and Meth. in Appl. Sci. , 8 : 37 – 53 .
   Web of Science ®Google Scholar