scholarly journals Self-consistent drift-diffusion-reaction model for the electron beam interaction with dielectric samples

2015 ◽  
Vol 118 (20) ◽  
pp. 204101 ◽  
Author(s):  
B. Raftari ◽  
N. V. Budko ◽  
C. Vuik
Keyword(s):  
Electron Beam ◽  
Reaction Model ◽  
Diffusion Reaction ◽  
Drift Diffusion ◽  
Self Consistent ◽  
Beam Interaction

scholarly journals A DRIFT–DIFFUSION–REACTION MODEL FOR EXCITONIC PHOTOVOLTAIC BILAYERS: ASYMPTOTIC ANALYSIS AND A 2D HDG FINITE ELEMENT SCHEME

2013 ◽  
Vol 23 (05) ◽  
pp. 839-872 ◽  
Author(s):  
DANIEL BRINKMAN ◽  
KLEMENS FELLNER ◽  
PETER A. MARKOWICH ◽  
MARIE-THERESE WOLFRAM
Keyword(s):  
Finite Element ◽  
Asymptotic Analysis ◽  
Reaction Diffusion ◽  
Reaction Model ◽  
Reaction Diffusion Equation ◽  
Diffusion Reaction ◽  
Organic Substrates ◽  
Drift Diffusion ◽  
Discontinuous Galerkin Finite Element ◽  
Bilayer Device

We present and discuss a mathematical model for the operation of bilayer organic photovoltaic devices. Our model couples drift–diffusion–recombination equations for the charge carriers (specifically, electrons and holes) with a reaction–diffusion equation for the excitons/polaron pairs and Poisson's equation for the self-consistent electrostatic potential. The material difference (i.e. the HOMO/LUMO gap) of the two organic substrates forming the bilayer device is included as a work-function potential. Firstly, we perform an asymptotic analysis of the scaled one-dimensional stationary state system: (i) with focus on the dynamics on the interface and (ii) with the goal of simplifying the bulk dynamics away from the interface. Secondly, we present a two-dimensional hybrid discontinuous Galerkin finite element numerical scheme which is very well suited to resolve: (i) the material changes, (ii) the resulting strong variation over the interface, and (iii) the necessary upwinding in the discretization of drift–diffusion equations. Finally, we compare the numerical results with the approximating asymptotics.

Transmission-Line Model and Propagation in a Negative-Index, Parallel-Plate Metamaterial to Boost Electron-Beam Interaction

2014 ◽  
Vol 62 (6) ◽  
pp. 3212-3221 ◽  
Author(s):  
Nicholas Aaron Estep ◽  
Amir Nader Askarpour ◽  
Simeon Trendafilov ◽  
Gennady Shvets ◽  
Andrea Alu
Keyword(s):  
Electron Beam ◽  
Transmission Line ◽  
Parallel Plate ◽  
Negative Index ◽  
Transmission Line Model ◽  
Line Model ◽  
Beam Interaction

Random walk on spheres algorithm for solving transient drift-diffusion-reaction problems

2017 ◽  
Vol 23 (3) ◽  
Author(s):  
Karl K. Sabelfeld
Keyword(s):  
Random Walk ◽  
Diffusion Reaction ◽  
Drift Diffusion ◽  
Walk On Spheres Algorithm

AbstractWe suggest in this paper a Random Walk on Spheres (RWS) method for solving transient drift-diffusion-reaction problems which is an extension of our algorithm we developed recently [

scholarly journals A permeation-diffusion-reaction model of gas transport in cellular tissue of plant materials

2006 ◽  
Vol 57 (15) ◽  
pp. 4215-4224 ◽  
Author(s):  
Q. T. Ho ◽  
B. E. Verlinden ◽  
P. Verboven ◽  
S. Vandewalle ◽  
B. M. Nicolai
Keyword(s):  
Gas Transport ◽  
Cellular Tissue ◽  
Reaction Model ◽  
Diffusion Reaction ◽  
Plant Materials

Diffusion-reaction model for ASR

2014 ◽  
pp. 639-648 ◽  
Author(s):  
J Liaudat ◽  
C López ◽  
I Carol
Keyword(s):  
Reaction Model ◽  
Diffusion Reaction

scholarly journals Fractal diffusion-reaction model for a porous electrode

2021 ◽  
pp. 26-26
Author(s):  
Ling Lin ◽  
Yun Qiao
Keyword(s):  
Surface Morphology ◽  
Porous Electrode ◽  
Enzymatic Reaction ◽  
Bright Light ◽  
Reaction Model ◽  
Solution Procedure ◽  
Diffusion Reaction ◽  
Fast Diffusion ◽  
Fractal Derivative ◽  
Intuitive Grasp

Fractal modifications of Fick?s laws are discussed by taking into account the electrode?s porous structure, and a fractal derivative model for diffusion-reaction process in a thin film of an amperometric enzymatic reaction is established. Particular attention is paid to giving an intuitive grasp for its fractal variational principle and its solution procedure. Extremely fast or extremely slow diffusion process can be achieved by suitable control of the electrode?s surface morphology, a sponge-like surface leads to an extremely fast diffusion, while a lotus-leaf-like uneven surface predicts an extremely slow process. This paper sheds a bright light on an optimal design of an electrode?s surface morphology.

Optical beam deflection imaging of the electron beam interaction volume in semiconductors

1993 ◽  
Vol 63 (5) ◽  
pp. 645-647 ◽  
Author(s):  
G. Y. Chang ◽  
R. B. Givens ◽  
J. W. M. Spicer ◽  
R. Osiander ◽  
J. C. Murphy
Keyword(s):  
Electron Beam ◽  
Optical Beam ◽  
Beam Deflection ◽  
Interaction Volume ◽  
Beam Interaction
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