@article{M2AN_1996__30_6_763_0,
author = {Degond, P. and Poupaud, F. and Yamnahakki, A.},
title = {Particle simulation and asymptotic analysis of kinetic equations for modeling a {Schottky} diode},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {763--795},
year = {1996},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {30},
number = {6},
mrnumber = {1419938},
zbl = {0866.65096},
language = {en},
url = {https://www.numdam.org/item/M2AN_1996__30_6_763_0/}
}
TY - JOUR AU - Degond, P. AU - Poupaud, F. AU - Yamnahakki, A. TI - Particle simulation and asymptotic analysis of kinetic equations for modeling a Schottky diode JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1996 SP - 763 EP - 795 VL - 30 IS - 6 PB - AFCET - Gauthier-Villars PP - Paris UR - https://www.numdam.org/item/M2AN_1996__30_6_763_0/ LA - en ID - M2AN_1996__30_6_763_0 ER -
%0 Journal Article %A Degond, P. %A Poupaud, F. %A Yamnahakki, A. %T Particle simulation and asymptotic analysis of kinetic equations for modeling a Schottky diode %J ESAIM: Modélisation mathématique et analyse numérique %D 1996 %P 763-795 %V 30 %N 6 %I AFCET - Gauthier-Villars %C Paris %U https://www.numdam.org/item/M2AN_1996__30_6_763_0/ %G en %F M2AN_1996__30_6_763_0
Degond, P.; Poupaud, F.; Yamnahakki, A. Particle simulation and asymptotic analysis of kinetic equations for modeling a Schottky diode. ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 6, pp. 763-795. https://www.numdam.org/item/M2AN_1996__30_6_763_0/
[1] , 1987 Generalized energy moment equation in the relaxation time approximation, Solid Stat. Electr. 30, pp. 913-917.
[2] and , 1982, An investigation of steady-state velocity overshoot effects in Si and GaAs devices, Solid-State Electron, 29, pp. 970-977.
[3] , Convergence of the Child Langmuir asymptotics of the Boltzmann equation of semiconductors, SIAM. J. on Math. Anal., to appear. | Zbl | MR
[4] and , 1995, The Child-Langmuir for the Boltzmann equation ot semiconductors, SIAM. J. Math. Anal. 26, pp. 364 398. | Zbl | MR
[5] , and , 1996. The Child-Langmir low as a model for election transport in semiconductors , Solid State electronics, 39, pp. 737-744.
[6] and , 1985, Plasma Physics via Computer Simulations, McGrawHill, New-York.
[7] and , 1982, J. Comput. Phys., 46, p. 271. | Zbl | MR
[8] and , 1988, Extended moment equations for electron transport in semiconducting submicron structures. J. Appl. Phys., 61, pp. 2445-2455.
[9] , 1987, Analyse numérique des méthodes particulaires pour certains problèmes non linéaires, Thèse d'état, Université Paris 6.
[10] , 1994, The Child-Langmuir law in the kinetic theory of charges particles Part I electron flows in vacuum in Advances in Kinetic Theory and Computing B. Perthame (ed.), World Scientific, Singapore. | Zbl | MR
[11] , and , 1991, in Computer Methods in Applied Sciences and Engineering, R. Glowinski and A. Lichnewsky (eds), SIAM, Philadelphia.
[12] and , 1991, Solid State Electron, 34, pp. 1335-1345.
[13] , and , 1988, J. Comput. Phys., 78,pp. 313. | Zbl
[14] and , 1991, An asymptotic analysis of the one-dimensional Vlasov-Poisson system the Child-Langmuir law, Asymptotic Analysis 4, pp. 187-214. | Zbl | MR
[15] , , and , 1996, The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or Spherically symmetric diodes, Part I statement of the problem and basic estimates, Part II Analysis of the reduced problem and determination of the Child Langmuir current. Math. Meth. Appl. Sci. 19, pp. 287-340. | Zbl | MR
[16] , and , A mathematical analysis of a multidimensional Shottky diode, Asymptotic Analysis to appear.
[17] and 1992 A deterministic particle method for solving kinetic transport equations the semiconductor Boltzmann equation case, SIAM. J. Appl. Math. 52, pp. 973-988. | Zbl | MR
[18] , , 1989, Numerical methods for the hydrodynamic device model: Subsonic flow, ILEE Trans. Comp. Design. 8, pp. 501-507.
[19] and 1993 A Boundary value problem for the stationary Vlasov-Poisson equations the plane diode, Comm. Pure. Appl. Math. 43, pp. 473-507. | Zbl | MR
[20] , 1990, Ph. D. thesis, Ecole Polytechnique, Palaiseau.
[21] , 1984, Simulation Monte-Carlo du transport non stationnaire dans les dispositifs submicroniques importance du phénomène balistique dans GaAs à 77 K, Ph-D thesis Paris-sud, Orsay.
[22] and 1981, Computer Simulation using Particles, McGrawHill, New York. | Zbl
[23] and , Energy Models tor One-Carrier Transport in Semiconductor Devices, Preprint.
[24] , 1987, Transp. Theory Stat. Physics, 16, pp. 855. | Zbl
[25] , 1986 The stationary semiconductor device equations, Springer, Wien, New York. | MR
[26] , 1990, C. Ringhofer and C. Schmeiser, Semiconductor equations, Springer, Wien, New York. | Zbl | MR
[27] and , 1980, in Mathematical Methods of Plasma Physics, R. Kress and J. Wick (eds), Verlag Peter D. Lang, Frankfurt. | Zbl | MR
[28] , 1991, Derivation of a hydrodynamic Systems hierarchy from the Boltzmann equation, Appl. Math. Letters 4, pp. 75-79. | Zbl | MR
[29] 1992, Boundary value problems for the stationary Vlasov-Maxwell System, Forum Math. 4, pp. 499-527. | Zbl | MR
[30] 1995, Second order boundary conditions for Drilt Diffusion equations of semi conductor , Math. Mod. Meth. Appl. Sci. 5, pp. 429-455. | Zbl | MR
[31] , 1985 An Analysis of particle methods in Fluid Dynamics, F. Brezzi ed., L. N. in Math. 1127, Springer-Verlag, Berlin. | Zbl | MR
[32] (ed), 1985, Hot electron transport in semiconductors, Springer, Berlin.
[33] , 1985, Analysis and simulation of semiconductor devices, Springer Berlin, New York.
[34] , 1981, Physics of semiconductor devices, Wiley, New York, 2nd edition.
