Quasi-neutral limit and the initial layer problem of the drift-diffusion model

2020 ◽  
Vol 40 (4) ◽  
pp. 1152-1170
Author(s):  
Shu Wang ◽  
Limin Jiang
Keyword(s):  
Diffusion Model ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
Initial Layer ◽  
Layer Problem

QUASINEUTRAL LIMIT OF THE DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS WITH GENERAL INITIAL DATA

2003 ◽  
Vol 13 (04) ◽  
pp. 463-470 ◽  
Author(s):  
CHRISTIAN SCHMEISER ◽  
SHU WANG
Keyword(s):  
Initial Data ◽  
Diffusion Model ◽  
Debye Length ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
Uniform Estimates ◽  
Initial Layer ◽  
General Initial Data ◽  
Entropy Functionals ◽  
Quasineutral Limit

The limit for vanishing Debye length (charge neutral limit) in a bipolar drift-diffusion model for semiconductors with general initial data allowing the presence of an initial layer is studied. The quasineutral limit (zero-Debye-length limit) is performed rigorously by using two different entropy functionals which yield appropriate uniform estimates. This investigation extends the results of Refs. 7 and 8 for charge neutral initial data where no initial layer occurs.

scholarly journals The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model

2001 ◽  
Vol 12 (4) ◽  
pp. 497-512 ◽  
Author(s):  
INGENUIN GASSER ◽  
C. DAVID LEVERMORE ◽  
PETER A. MARKOWICH ◽  
CHRISTIAN SCHMEISER
Keyword(s):  
Singular Perturbation ◽  
Diffusion Model ◽  
Time Scale ◽  
Initial Time ◽  
Mathematical Tool ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
Time Layer ◽  
Quasineutral Limit ◽  
Layer Problem

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.

scholarly journals Informing cognitive abstractions through neuroimaging: The neural drift diffusion model.

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

Incorporating photon recycling into the analytical drift-diffusion model of high efficiency solar cells

2014 ◽  
Vol 116 (19) ◽  
pp. 194504 ◽  
Author(s):  
Matthew P. Lumb ◽  
Myles A. Steiner ◽  
John F. Geisz ◽  
Robert J. Walters
Keyword(s):  
Solar Cells ◽  
Diffusion Model ◽  
High Efficiency ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
High Efficiency Solar Cells ◽  
Photon Recycling
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