Low-Field Limit for a Nonlinear Discrete Drift-Diffusion Model Arising in Semiconductor Superlattices Theory

2004 ◽  
Vol 64 (5) ◽  
pp. 1526-1549 ◽  
Author(s):  
Juan Soler ◽  
Luis L. Bonilla ◽  
Oscar Sánchez ◽  
Thierry Goudon
Keyword(s):  
Diffusion Model ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
Field Limit ◽  
Semiconductor Superlattices ◽  
Low Field

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

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.

scholarly journals WIGNER–POISSON AND NONLOCAL DRIFT-DIFFUSION MODEL EQUATIONS FOR SEMICONDUCTOR SUPERLATTICES

2005 ◽  
Vol 15 (08) ◽  
pp. 1253-1272 ◽  
Author(s):  
L. L. BONILLA ◽  
R. ESCOBEDO
Keyword(s):  
Numerical Solutions ◽  
Inelastic Collisions ◽  
Diffusion Equations ◽  
Electron Interaction ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
Hartree Approximation ◽  
Semiconductor Superlattices ◽  
Sustained Oscillations ◽  
Model Equations

A Wigner–Poisson kinetic equation describing charge transport in doped semiconductor superlattices is proposed. Electrons are assumed to occupy the lowest miniband, exchange of lateral momentum is ignored and the electron–electron interaction is treated in the Hartree approximation. There are elastic collisions with impurities and inelastic collisions with phonons, imperfections, etc. The latter are described by a modified BGK (Bhatnagar–Gross–Krook) collision model that allows for energy dissipation while yielding charge continuity. In the hyperbolic limit, nonlocal drift-diffusion equations are derived systematically from the kinetic Wigner–Poisson–BGK system by means of the Chapman–Enskog method. The nonlocality of the original quantum kinetic model equations implies that the derived drift-diffusion equations contain spatial averages over one or more superlattice periods. Numerical solutions of the latter equations show self-sustained oscillations of the current through a voltage biased superlattice, in agreement with known experiments.

Simulations of Electrical Discharges in Air Using Stabilized Drift-Diffusion Model

2018 ◽  
Vol 46 (8) ◽  
pp. 3031-3039 ◽  
Author(s):  
Shailendra Singh ◽  
Yuriy V. Serdyuk ◽  
Stanislaw M. Gubanski
Keyword(s):  
Diffusion Model ◽  
Drift Diffusion Model ◽  
Electrical Discharges ◽  
Drift Diffusion
Sign in / Sign up

Export Citation Format

Share Document