Mixed Layer Problem of a Three-Dimensional Drift-Diffusion Model for Semiconductors

2017 ◽  
Vol 30 (3) ◽  
pp. 264-280
Author(s):  
Chundi Liu ◽  
Shu Wang ◽  
Wenqing Xu
2001 ◽  
Vol 12 (4) ◽  
pp. 497-512 ◽  
Author(s):  
INGENUIN GASSER ◽  
C. DAVID LEVERMORE ◽  
PETER A. MARKOWICH ◽  
CHRISTIAN SCHMEISER

The classical time-dependent drift-diffusion model for semiconductors is considered for small scaled Debye length (which is a singular perturbation parameter). The corresponding limit is carried out on both the dielectric relaxation time scale and the diffusion time scale. The latter is a quasineutral limit, and the former can be interpreted as an initial time layer problem. The main mathematical tool for the analytically rigorous singular perturbation theory of this paper is the (physical) entropy of the system.


2015 ◽  
Vol 122 (2) ◽  
pp. 312-336 ◽  
Author(s):  
Brandon M. Turner ◽  
Leendert van Maanen ◽  
Birte U. Forstmann

2014 ◽  
Vol 116 (19) ◽  
pp. 194504 ◽  
Author(s):  
Matthew P. Lumb ◽  
Myles A. Steiner ◽  
John F. Geisz ◽  
Robert J. Walters

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