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Author: Joseph W. Jerome
Publisher: Springer Science & Business Media
ISBN: 3642799876
Category : Mathematics
Languages : en
Pages : 177
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Book Description
This book addresses the mathematical aspects of semiconductor modeling, with particular attention focused on the drift-diffusion model. The aim is to provide a rigorous basis for those models which are actually employed in practice, and to analyze the approximation properties of discretization procedures. The book is intended for applied and computational mathematicians, and for mathematically literate engineers, who wish to gain an understanding of the mathematical framework that is pertinent to device modeling. The latter audience will welcome the introduction of hydrodynamic and energy transport models in Chap. 3. Solutions of the nonlinear steady-state systems are analyzed as the fixed points of a mapping T, or better, a family of such mappings, distinguished by system decoupling. Significant attention is paid to questions related to the mathematical properties of this mapping, termed the Gummel map. Compu tational aspects of this fixed point mapping for analysis of discretizations are discussed as well. We present a novel nonlinear approximation theory, termed the Kras nosel'skii operator calculus, which we develop in Chap. 6 as an appropriate extension of the Babuska-Aziz inf-sup linear saddle point theory. It is shown in Chap. 5 how this applies to the semiconductor model. We also present in Chap. 4 a thorough study of various realizations of the Gummel map, which includes non-uniformly elliptic systems and variational inequalities. In Chap.
Author: Joseph W. Jerome
Publisher: Springer Science & Business Media
ISBN: 3642799876
Category : Mathematics
Languages : en
Pages : 177
Get Book
Book Description
This book addresses the mathematical aspects of semiconductor modeling, with particular attention focused on the drift-diffusion model. The aim is to provide a rigorous basis for those models which are actually employed in practice, and to analyze the approximation properties of discretization procedures. The book is intended for applied and computational mathematicians, and for mathematically literate engineers, who wish to gain an understanding of the mathematical framework that is pertinent to device modeling. The latter audience will welcome the introduction of hydrodynamic and energy transport models in Chap. 3. Solutions of the nonlinear steady-state systems are analyzed as the fixed points of a mapping T, or better, a family of such mappings, distinguished by system decoupling. Significant attention is paid to questions related to the mathematical properties of this mapping, termed the Gummel map. Compu tational aspects of this fixed point mapping for analysis of discretizations are discussed as well. We present a novel nonlinear approximation theory, termed the Kras nosel'skii operator calculus, which we develop in Chap. 6 as an appropriate extension of the Babuska-Aziz inf-sup linear saddle point theory. It is shown in Chap. 5 how this applies to the semiconductor model. We also present in Chap. 4 a thorough study of various realizations of the Gummel map, which includes non-uniformly elliptic systems and variational inequalities. In Chap.
![Analysis and Modeling of Charge Transport in a GaAs CCD [microform] PDF](https://books.google.com/books/content/images/frontcover/sqGNAAAACAAJ?fife=w80-h100)
Author: Shankar Pennathur
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780315710399
Category : Charge coupled devices
Languages : en
Pages : 240
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Book Description
Author: Victor I. Klimov
Publisher: CRC Press
ISBN: 1420079271
Category : Technology & Engineering
Languages : en
Pages : 485
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Book Description
A review of recent advancements in colloidal nanocrystals and quantum-confined nanostructures, Nanocrystal Quantum Dots is the second edition of Semiconductor and Metal Nanocrystals: Synthesis and Electronic and Optical Properties, originally published in 2003. This new title reflects the book’s altered focus on semiconductor nanocrystals. Gathering contributions from leading researchers, this book contains new chapters on carrier multiplication (generation of multiexcitons by single photons), doping of semiconductor nanocrystals, and applications of nanocrystals in biology. Other updates include: New insights regarding the underlying mechanisms supporting colloidal nanocrystal growth A revised general overview of multiexciton phenomena, including spectral and dynamical signatures of multiexcitons in transient absorption and photoluminescence Analysis of nanocrystal-specific features of multiexciton recombination A review of the status of new field of carrier multiplication Expanded coverage of theory, covering the regime of high-charge densities New results on quantum dots of lead chalcogenides, with a focus studies of carrier multiplication and the latest results regarding Schottky junction solar cells Presents useful examples to illustrate applications of nanocrystals in biological labeling, imaging, and diagnostics The book also includes a review of recent progress made in biological applications of colloidal nanocrystals, as well as a comparative analysis of the advantages and limitations of techniques for preparing biocompatible quantum dots. The authors summarize the latest developments in the synthesis and understanding of magnetically doped semiconductor nanocrystals, and they present a detailed discussion of issues related to the synthesis, magneto-optics, and photoluminescence of doped colloidal nanocrystals as well. A valuable addition to the pantheon of literature in the field of nanoscience, this book presents pioneering research from experts whose work has led to the numerous advances of the past several years.
Author: Aleksandr Mikhaĭlovich Blokhin
Publisher:
ISBN: 9781617617911
Category : Hydrodynamics
Languages : en
Pages : 0
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Book Description
For the last decades mathematical simulation of physical phenomena in semiconductor devices becomes an actual and rapidly developing area of applied mathematics. Progress in microelectronic technologies enables constructing semiconductor devices of extremely small size such that simplified analytic models can hardly be used for analysis and design of modern semiconductor devices. The reason is that traditional simplifying assumptions which form the background of such models may be essentially broken in modern components of integral schemes. This book discusses the dynamics in this process.
Author: Xuefeng Guo
Publisher: Springer
ISBN: 3030033058
Category : Technology & Engineering
Languages : en
Pages : 262
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Book Description
The series Topics in Current Chemistry Collections presents critical reviews from the journal Topics in Current Chemistry organized in topical volumes. The scope of coverage is all areas of chemical science including the interfaces with related disciplines such as biology, medicine and materials science. The goal of each thematic volume is to give the non-specialist reader, whether in academia or industry, a comprehensive insight into an area where new research is emerging which is of interest to a larger scientific audience. Each review within the volume critically surveys one aspect of that topic and places it within the context of the volume as a whole. The most significant developments of the last 5 to 10 years are presented using selected examples to illustrate the principles discussed. The coverage is not intended to be an exhaustive summary of the field or include large quantities of data, but should rather be conceptual, concentrating on the methodological thinking that will allow the non-specialist reader to understand the information presented. Contributions also offer an outlook on potential future developments in the field.
Author: Aleksandr Mikhaĭlovich Blokhin
Publisher:
ISBN: 9781611222166
Category : SCIENCE
Languages : en
Pages : 181
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Book Description
For the last decades mathematical simulation of physical phenomena in semiconductor devices becomes an actual and rapidly developing area of applied mathematics. Progress in microelectronic technologies enables constructing semiconductor devices of extremely small size such that simplified analytic models can hardly be used for analysis and design of modern semiconductor devices. The reason is that traditional simplifying assumptions which form the background of such models may be essentially broken in modern components of integral schemes. This book discusses the dynamics in this process. (Imprint: Nova)
Author: Riccardo Volpi
Publisher: Linköping University Electronic Press
ISBN: 9176856194
Category :
Languages : en
Pages : 54
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Book Description
With the technological advancement of modern society, electronic devices are getting progressively more integrated in our everyday lives. Their continuouslygrowing presence is generating numerous concerns about costs, efficiency and the environmental impact of the electronic waste. In this context, organic electronics is finding its way through the market, allowing for potentially low-cost, light, flexible, transparent and environmentally friendly electronics. Despite the numerous successes of organic electronics, the functioning of several categories of organic devices still represents a technological challenge, due to problems like low efficiencies and stabilities (degradation over time). Organic devices are composed by one or more organic materials depending on the particular application. The conformation and electronic structure of the organic molecules as well as their supramolecular arrangement in the single phase or at the interface are known to strongly a affect the mobility and/or the efficiency of the device. While there is consensus on the fundamental physics of organic devices, we still lack a detailed comprehensive theory able to fully explain experimental data. In this thesis we focus on trying to expand our knowledge of charge transport in organic materials through theoretical modelling and simulation of organic electronic devices. While the methodology developed is generally valid for any organic device, we will particularly focus on the case represented by organic photovoltaics. The morphology of the system is obtained by molecular dynamics simulations. Marcus theory is used to calculate the hopping rate of the charge carriers and subsequently study the possibility of free charge carriers production in an organic solar cell. The theory is then compared both with Kinetic Monte Carlo simulations and with experiments to identify the main pitfalls of the actual theory and ways to improve it. The Marcus rate between two molecules depends on the molecular orbital energies, the transfer integral between the two molecules and the reorganization energy. The orbital energies and the transfer integrals between two neighbouring molecules are obtained through quantum mechanical calculations in vacuum. Electrostatic effects of the environment are included through atomic charges and atomic polarizabilities, producing a correction both to the orbital energy and to the reorganization energy. We have studied several systems in the single phase (polyphenylene vinylene, C60, PC61BM) and at the interface between two organic materials (anthracene/C60, TQ1/PC71BM). We show how a combination of different methodologies can be used to obtain a realistic ab-initio model of organic devices taking into account environmental effects. This allows us to obtain qualitative agreement with experimental data of mobility in the single phase and to determine whether or not two materials are suitable to be used together in an organic solar cell.
Author: Andrew J. Wain
Publisher: Elsevier
ISBN: 0128200561
Category : Technology & Engineering
Languages : en
Pages : 580
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Book Description
Nanoscale Electrochemistry focuses on challenges and advances in electrochemical nanoscience at solid–liquid interfaces, highlighting the most prominent developments of the last decade. Nanotechnology has had a tremendous effect on the multidisciplinary field of electrochemistry, yielding new fundamental insights that have broadened our understanding of interfacial processes and stimulating new and diverse applications. The book begins with a tutorial chapter to introduce the principles of nanoscale electrochemical systems and emphasize their unique behavior compared with their macro/microscopic counterparts. Building on this, the following three chapters present analytical applications, such as sensing and electrochemical imaging, that are familiar to the traditional electrochemist but whose extension to the nanoscale is nontrivial and reveals new chemical information. The subsequent three chapters present exciting new electrochemical methodologies that are specific to the nanoscale, including "single entity"-based methods and surface-enhanced electrochemical spectroscopy. These techniques, now sufficiently mature for exposition, have paved the way for major developments in our understanding of solid–liquid interfaces and continue to push electrochemical analysis toward atomic-length scales. The final three chapters address the rich overlap between electrochemistry and nanomaterials science, highlighting notable applications in energy conversion and storage. This is an important reference for both academic and industrial researchers who are seeking to learn more about how nanoscale electrochemistry has developed in recent years. Outlines the major applications of nanoscale electrochemistry in energy storage, spectroscopy and biology Summarizes the major principles of nanoscale electrochemical systems, exploring how they differ from similar system types Discusses the major challenges of electrochemical analysis at the nanoscale
Author: Shizhi Qian
Publisher: CRC Press
ISBN: 1439854394
Category : Medical
Languages : en
Pages : 382
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Book Description
Numerous applications of micro-/nanofluidics are related to particle transport in micro-/nanoscale channels, and electrokinetics has proved to be one of the most promising tools to manipulate particles in micro/nanofluidics. Therefore, a comprehensive understanding of electrokinetic particle transport in micro-/nanoscale channels is crucial to the
Author: Sidney Yip
Publisher: Springer Science & Business Media
ISBN: 1402032862
Category : Science
Languages : en
Pages : 2903
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Book Description
The first reference of its kind in the rapidly emerging field of computational approachs to materials research, this is a compendium of perspective-providing and topical articles written to inform students and non-specialists of the current status and capabilities of modelling and simulation. From the standpoint of methodology, the development follows a multiscale approach with emphasis on electronic-structure, atomistic, and mesoscale methods, as well as mathematical analysis and rate processes. Basic models are treated across traditional disciplines, not only in the discussion of methods but also in chapters on crystal defects, microstructure, fluids, polymers and soft matter. Written by authors who are actively participating in the current development, this collection of 150 articles has the breadth and depth to be a major contributor toward defining the field of computational materials. In addition, there are 40 commentaries by highly respected researchers, presenting various views that should interest the future generations of the community. Subject Editors: Martin Bazant, MIT; Bruce Boghosian, Tufts University; Richard Catlow, Royal Institution; Long-Qing Chen, Pennsylvania State University; William Curtin, Brown University; Tomas Diaz de la Rubia, Lawrence Livermore National Laboratory; Nicolas Hadjiconstantinou, MIT; Mark F. Horstemeyer, Mississippi State University; Efthimios Kaxiras, Harvard University; L. Mahadevan, Harvard University; Dimitrios Maroudas, University of Massachusetts; Nicola Marzari, MIT; Horia Metiu, University of California Santa Barbara; Gregory C. Rutledge, MIT; David J. Srolovitz, Princeton University; Bernhardt L. Trout, MIT; Dieter Wolf, Argonne National Laboratory.
