The quantum hydrodynamic model for semiconductors in thermal equilibrium

被引:61
作者
Gasser, I
Jungel, A
机构
[1] Fachbereich Mathematik, Technische Universität Berlin, D - 10623 Berlin
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1997年 / 48卷 / 01期
关键词
quantum hydrodynamics; thermal equilibrium; existence; uniqueness; classical limit;
D O I
10.1007/PL00001469
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The thermal equilibrium states of the quantum hydrodynamic model are analyzed. We show existence of solutions, perform the classical limit and investigate the uniqueness of the solutions. Numerical examples show the difference to the classical thermal equilibrium states.
引用
收藏
页码:45 / 59
页数:15
相关论文
共 11 条
  • [1] ASCHER U, 1981, ACM T MATH SOFTWARE, V7, P209, DOI 10.1145/355945.355950
  • [2] THERMAL-EQUILIBRIUM STATES OF THE QUANTUM HYDRODYNAMIC MODEL FOR SEMICONDUCTORS IN ONE-DIMENSION
    BREZZI, F
    GASSER, I
    MARKOWICH, PA
    SCHMEISER, C
    [J]. APPLIED MATHEMATICS LETTERS, 1995, 8 (01) : 47 - 52
  • [3] THE QUANTUM HYDRODYNAMIC MODEL FOR SEMICONDUCTOR-DEVICES
    GARDNER, CL
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1994, 54 (02) : 409 - 427
  • [4] GASSER I, 1996, IN PRESS TRANSPORT T
  • [5] GASSER I, 1995, P SPARCH GDR C ST MA
  • [6] Gasser I., 1995, P WORKSH MATH PROBL
  • [7] Gilbar D., 1983, ELLIPTIC PARTIAL DIF
  • [8] Lions J. L., 1969, QUELQUES METHODES RE
  • [9] Markowich P. A., 1986, STATIONARY SEMICONDU, DOI [DOI 10.1007/978, 10.1007/978-3-7091-3678-2]
  • [10] PACARD F, 1995, IN PRESS COMM PDE