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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: 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: 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: Thomas Dittrich
Publisher: World Scientific
ISBN: 1786347679
Category : Science
Languages : en
Pages : 318
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Book Description
Surface photovoltage (SPV) techniques provide information about photoactive materials with respect to charge separation in space. This book aims to share experience in measuring and analyzing SPV signals and addresses researchers and developers interested in learning more about and in applying SPV methods. For this purpose, basics about processes in photoactive materials and principles of SPV measurements are combined with examples from research and development over the last two decades.SPV measurements with Kelvin probes, fixed capacitors, electron beams and photoelectrons are explained. Details are given for continuous, modulated and transient SPV spectroscopy. Simulation principles of SPV signals by random walks are introduced and applied for small systems. Application examples are selected for the characterization of silicon surfaces, gallium arsenide layers, electronic states in colloidal quantum dots, transport phenomena in metal oxides and local charge separation across photocatalytic active crystallites.
Author: Joel L. Plawsky
Publisher: CRC Press
ISBN: 1351624873
Category : Science
Languages : en
Pages : 863
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Book Description
The fourth edition of Transport Phenomena Fundamentals continues with its streamlined approach to the subject, based on a unified treatment of heat, mass, and momentum transport using a balance equation approach. The new edition includes more worked examples within each chapter and adds confidence-building problems at the end of each chapter. Some numerical solutions are included in an appendix for students to check their comprehension of key concepts. Additional resources online include exercises that can be practiced using a wide range of software programs available for simulating engineering problems, such as, COMSOL®, Maple®, Fluent, Aspen, Mathematica, Python and MATLAB®, lecture notes, and past exams. This edition incorporates a wider range of problems to expand the utility of the text beyond chemical engineering. The text is divided into two parts, which can be used for teaching a two-term course. Part I covers the balance equation in the context of diffusive transport—momentum, energy, mass, and charge. Each chapter adds a term to the balance equation, highlighting that term's effects on the physical behavior of the system and the underlying mathematical description. Chapters familiarize students with modeling and developing mathematical expressions based on the analysis of a control volume, the derivation of the governing differential equations, and the solution to those equations with appropriate boundary conditions. Part II builds on the diffusive transport balance equation by introducing convective transport terms, focusing on partial, rather than ordinary, differential equations. The text describes paring down the full, microscopic equations governing the phenomena to simplify the models and develop engineering solutions, and it introduces macroscopic versions of the balance equations for use where the microscopic approach is either too difficult to solve or would yield much more information that is actually required. The text discusses the momentum, Bernoulli, energy, and species continuity equations, including a brief description of how these equations are applied to heat exchangers, continuous contactors, and chemical reactors. The book introduces the three fundamental transport coefficients: the friction factor, the heat transfer coefficient, and the mass transfer coefficient in the context of boundary layer theory. Laminar flow situations are treated first followed by a discussion of turbulence. The final chapter covers the basics of radiative heat transfer, including concepts such as blackbodies, graybodies, radiation shields, and enclosures.
Author: Aleksey Kocherzhenko
Publisher:
ISBN: 9090260277
Category :
Languages : en
Pages : 162
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Book Description
