Free Access
Volume 36, Number 6, November/December 2002
Page(s) 1161 - 1176
Published online 15 January 2003
  1. F. Alabau, K. Hamdache and Y.J. Peng, Asymptotic analysis of the transient Vlasov-Poisson system for a plane diode. Asymptot. Anal. 16 (1998) 25-48. [MathSciNet]
  2. H.U. Baranger and J.W. Wilkins, Ballistic structure in the electron distribution function of small semiconducting structures: General features and specific trends. Phys. Rev. B 36 (1987) 1487-1502. [CrossRef]
  3. N. Ben Abdallah, The Child-Langmuir regime for electron transport in a plasma including a background of positive ions. Math. Models Methods Appl. Sci. 4 (1994) 409-438. [CrossRef] [MathSciNet]
  4. N. Ben Abdallah, Convergence of the Child-Langmuir asymptotics of the Boltzmann equation of semiconductors. SIAM J. Math. Anal. 27 (1996) 92-109. [CrossRef] [MathSciNet]
  5. N. Ben Abdallah, Étude de modèles asymptotiques de transport de particules chargées: Asymptotique de Child-Langmuir. Ph.D. thesis.
  6. N. Ben Abdallah and P. Degond, The Child-Langmuir law for the Boltzmann equation of semiconductors. SIAM J. Math. Anal. 26 (1995) 364-398. [CrossRef] [MathSciNet]
  7. N. Ben Abdallah and P. Degond, The Child-Langmuir law in the kinetic theory of charged particles: semiconductors models. Mathematical problems in semiconductor physics, Rome (1993) 76-102. Longman, Harlow, Pitman Res. Notes Math. Ser. 340 (1995).
  8. N. Ben Abdallah, P. Degond and F. Méhats, The Child-Langmuir asymptotics for magnetized flows. Asymptot. Anal. 20 (1999) 97-13. [MathSciNet]
  9. N. Ben Abdallah, P. Degond and C. Schmeiser, On a mathemaical model of hot-carrier injection in semiconductors. Math. Methods Appl. Sci. 17 (1994) 1193-1212. [CrossRef] [MathSciNet]
  10. J.A. Carrillo, I.M. Gamba, O. Muscato and C.-W. Shu, Comparison of Monte Carlo and deterministic simulations of a silicon diode. IMA series (to be published).
  11. J.A. Carrillo, I.M. Gamba and C.-W. Shu, Computational macroscopic approximations to the 1-D relaxation-time kinetic system for semiconductors. Phys. D 146 (2000) 289-306. [CrossRef] [MathSciNet]
  12. P. Degond and P.A. Raviart, An asymptotic analysis of the one-dimensional Vlasov-Poisson system: the Child-Langmuir law. Asymptot. Anal. 4 (1991) 187-214.
  13. P. Degond and P.A. Raviart, On a penalization of the Child-Langmuir emission condition for the one-dimensional Vlasov-Poisson equation. Asymptot. Anal. 6 (1992) 1-27.
  14. G. Jiang and C.-W. Shu, Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126 (1996) 202-228. [NASA ADS] [CrossRef] [MathSciNet]
  15. I. Langmuir and K.T. Compton, Electrical discharges in gases: Part II, fundamental phenomena in electrical discharges. Rev. Modern Phys. 3 (1931) 191-257. [CrossRef]
  16. P.A. Markowich, C.A. Ringhofer and C. Schmeiser, Semiconductor Equations. Springer, New York (1990).
  17. C.-W. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, B. Cockburn, C. Johnson, C.-W. Shu and E. Tadmor (A. Quarteroni Ed.). Springer, Lecture Notes in Math. 1697 (1998) 325-432.
  18. M.S. Shur and L.F. Eastman, Ballistic transport in semiconductors at low temperature for low-power high-speed logic. IEEE Trans. Electron Dev. ED-26 (1979) 1677-1683.
  19. M.S. Shur and L.F. Eastman, Near ballistic transport in GaAs devices at 77 K. Solid-State Electron 24 (1991) 11-18. [CrossRef]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you