Uniform estimates and uniqueness of stationary solutions to the drift–diffusion model for semiconductors

2018 ◽  
Vol 98 (10) ◽  
pp. 1799-1810
Author(s):  
Toru Kan ◽  
Masahiro Suzuki
Keyword(s):  
Diffusion Model ◽  
Stationary Solutions ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
Uniform Estimates

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.

EXISTENCE OF STATIONARY SOLUTIONS TO AN ENERGY DRIFT-DIFFUSION MODEL FOR SEMICONDUCTOR DEVICES

2001 ◽  
Vol 11 (05) ◽  
pp. 827-840 ◽  
Author(s):  
WEIFU FANG ◽  
KAZUFUMI ITO
Keyword(s):  
Mathematical Model ◽  
Equilibrium State ◽  
Diffusion Model ◽  
Hydrodynamic Model ◽  
Semiconductor Devices ◽  
Stationary Solutions ◽  
Drift Diffusion Model ◽  
Drift Diffusion

We analyze a mathematical model for semiconductors derived from the hydrodynamic model under the massless assumption. This model augments the classical drift-diffusion model by including temperature as a dependent variable. We establish the existence of stationary solutions near the equilibrium state.

Stationary solutions to the drift-diffusion model in the whole spaces

2009 ◽  
Vol 32 (6) ◽  
pp. 640-652 ◽  
Author(s):  
Ryo Kobayashi ◽  
Masaki Kurokiba ◽  
Shuichi Kawashima
Keyword(s):  
Diffusion Model ◽  
Stationary Solutions ◽  
Drift Diffusion Model ◽  
Drift Diffusion

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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