Quasi-neutral limit of the drift-diffusion model for semiconductors with general sign-changing doping profile

2008 ◽  
Vol 51 (9) ◽  
pp. 1619-1630 ◽  
Author(s):  
Ling Hsiao ◽  
QiangChang Ju ◽  
Shu Wang
Keyword(s):  
Diffusion Model ◽  
Doping Profile ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
General Sign

scholarly journals On the recovery of the doping profile in an time-dependent drift-diffusion model

2014 ◽  
Vol 22 (2) ◽  
pp. 253-274
Author(s):  
Bin Wu ◽  
Zewen Wang
Keyword(s):  
Inverse Problem ◽  
Diffusion Model ◽  
Electric Potential ◽  
Parabolic Equations ◽  
Time Dependent ◽  
Doping Profile ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
System Of Parabolic Equations ◽  
Theoretical Results

AbstractWe consider an inverse problem arising from an time-dependent drift-diffusion model in semiconductor devices, which is formulated in terms of a system of parabolic equations for the electron and hole densities and the Poisson equation for the electric potential. This inverse problem aims to identify the doping profile from the final overdetermination data of the electric potential. By using the Schauder’s fixed point theorem in suitable Sobolev space, the existence of this inverse problem are obtained. Moreover by means of Gronwall inequality, we prove the uniqueness of this inverse problem for small measurement time. For this nonlinear inverse problem, our theoretical results guarantee the solvability for the proposed physical model.

The Multidimensional Bipolar Quantum Drift-diffusion Model

2008 ◽  
Vol 8 (4) ◽  
Author(s):  
Xiuqing Chen ◽  
Yingchun Guo
Keyword(s):  
Weak Solution ◽  
Diffusion Model ◽  
Semiclassical Limit ◽  
Global Weak Solution ◽  
Mean Value ◽  
Doping Profile ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
New Methods ◽  
Fourth Order Parabolic System

AbstractWe investigate the bipolar quantum drift-diffusion model, a fourth order parabolic system, in two or there space dimensions. First, we establish the global weak solution with large initial value and periodic boundary conditions. Then we show the semiclassical limit by using new methods based on delicate interpolation estimates and compactness argument. Furthermore, when the doping profile is a constant, we find that the weak solution approaches its mean value exponentially as time increases to infinity.

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

scholarly journals Neural Substrates of the Drift-Diffusion Model in Brain Disorders

2022 ◽  
Vol 15 ◽  
Author(s):  
Ankur Gupta ◽  
Rohini Bansal ◽  
Hany Alashwal ◽  
Anil Safak Kacar ◽  
Fuat Balci ◽  
...  
Keyword(s):  
Diffusion Model ◽  
Response Times ◽  
Autism Spectrum ◽  
Brain Disorders ◽  
Functional Impairments ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
Obsessive Compulsive ◽  
Theoretical Understanding ◽  
Compulsive Disorder

Many studies on the drift-diffusion model (DDM) explain decision-making based on a unified analysis of both accuracy and response times. This review provides an in-depth account of the recent advances in DDM research which ground different DDM parameters on several brain areas, including the cortex and basal ganglia. Furthermore, we discuss the changes in DDM parameters due to structural and functional impairments in several clinical disorders, including Parkinson's disease, Attention Deficit Hyperactivity Disorder (ADHD), Autism Spectrum Disorders, Obsessive-Compulsive Disorder (OCD), and schizophrenia. This review thus uses DDM to provide a theoretical understanding of different brain disorders.

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