An example of nonuniqueness of stationary solutions in semiconductor device models

M.S. Mock ^[1]
1. [1] Weizmann Institute of Science
  
  Weizmann Institute of Science
  
  Israel
Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 1, Nº 3, 1982, págs. 165-174
Idioma: inglés
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Resumen
- A numerical example is given of a semiconductor device model in one dimension, with constant carrier mobilities and dielectric constant, and no generation‐recombination term, which nonetheless exhibits multiple stationary solutions. The device model considered has three p‐n junctions, and has (at least) three solutions, two stable, one unstable, for values of applied voltage above a rather moderate threshold value. In this model, bifurcation of solutions does not occur; the I—V plot for this model contains two distinct curves, at least for values of applied voltage below breakdown.