Symmetry analysis and exact invariant solutions for the drift-diffusion model of semiconductors

被引:3
|
作者
Romano, V [1 ]
Sellier, JM [1 ]
Torrisi, M [1 ]
机构
[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy
关键词
semiconductors; drift-diffusion models; symmetry analysis; exact solutions;
D O I
10.1016/j.physa.2004.04.121
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The symmetry classification of the drift-diffusion models for semiconductors is performed. Reduced systems and examples of exact invariant solutions are shown. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:62 / 72
页数:11
相关论文
共 50 条
  • [1] Exact solutions for the drift-diffusion model of semiconductors via lie symmetry analysis
    Romano, V.
    Sellier, J. M.
    Torrisi, M.
    [J]. SCIENTIFIC COMPUTING IN ELECTRICAL ENGINEERING, 2006, 9 : 383 - +
  • [2] Approximate solutions to the quantum drift-diffusion model of semiconductors
    Romano, V.
    Torrisi, M.
    Tracina, R.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (02)
  • [3] New solutions for the quantum drift-diffusion model of semiconductors
    Ramirez, J.
    Tracina, R.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (48)
  • [4] Conservation laws and solutions of a quantum drift-diffusion model for semiconductors
    Ibragimov, N. H.
    Khamitova, R.
    Avdonina, E. D.
    Galiakberova, L. R.
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2015, 77 : 69 - 73
  • [5] Group analysis of the drift-diffusion model for quantum semiconductors
    Ibragimov, N. H.
    Khamitova, R.
    Avdonina, E. D.
    Galiakberova, L. R.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 20 (01) : 74 - 78
  • [6] Generalized Drift-Diffusion Model In Semiconductors
    Mesbah, S.
    Bendib-Kalache, K.
    Bendib, A.
    [J]. LASER AND PLASMA APPLICATIONS IN MATERIALS SCIENCE, 2008, 1047 : 252 - 255
  • [7] QUALITATIVE BEHAVIOR OF SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS
    JUNGEL, A
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1995, 5 (04): : 497 - 518
  • [8] WEAK SOLUTIONS TO A HYDRODYNAMIC MODEL FOR SEMICONDUCTORS AND RELAXATION TO THE DRIFT-DIFFUSION EQUATION
    MARCATI, P
    NATALINI, R
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1995, 129 (02) : 129 - 145
  • [9] Uniform estimates and uniqueness of stationary solutions to the drift-diffusion model for semiconductors
    Kan, Toru
    Suzuki, Masahiro
    [J]. APPLICABLE ANALYSIS, 2019, 98 (10) : 1799 - 1810
  • [10] A SPLITTING SCHEME FOR A DRIFT-DIFFUSION MODEL OF SEMICONDUCTORS
    BEREZIN, YA
    DMITRIEVA, OE
    [J]. COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 1988, 7 (04) : 227 - 232