Mathematical Problems In Semiconductor Physics
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Mathematical Problems In Semiconductor Physics
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Author : Angelo Marcello Anile
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-09-16
Mathematical Problems In Semiconductor Physics written by Angelo Marcello Anile and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-16 with Science categories.
On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.
Mathematical Problems In Semiconductor Physics
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Author : P A Marcati
language : en
Publisher: CRC Press
Release Date : 1995-12-15
Mathematical Problems In Semiconductor Physics written by P A Marcati and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-15 with Science categories.
This collection of papers arises from a workshop held at the Istituto per le Applicazioni del Calcolo of the Italian CNR. The first part of the book includes the material covered by three mini-series of lectures at graduate level on some advanced mathematical topics in semiconductor physics. The second part of the book includes more specialized topics, covered by invited speakers in their individual lectures.
Mathematical Problems In Semiconductor Physics
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Author : Angelo Marcello Anile
language : en
Publisher: Springer
Release Date : 2014-03-12
Mathematical Problems In Semiconductor Physics written by Angelo Marcello Anile and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Science categories.
On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.
Mathematical Problems In Semiconductor Physics
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Author : Angelo Marcello Anile
language : en
Publisher:
Release Date : 2003
Mathematical Problems In Semiconductor Physics written by Angelo Marcello Anile and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Semiconductor Equations
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Author : Peter A. Markowich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Semiconductor Equations written by Peter A. Markowich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In recent years the mathematical modeling of charge transport in semi conductors has become a thriving area in applied mathematics. The drift diffusion equations, which constitute the most popular model for the simula tion of the electrical behavior of semiconductor devices, are by now mathe matically quite well understood. As a consequence numerical methods have been developed, which allow for reasonably efficient computer simulations in many cases of practical relevance. Nowadays, research on the drift diffu sion model is of a highly specialized nature. It concentrates on the explora tion of possibly more efficient discretization methods (e.g. mixed finite elements, streamline diffusion), on the improvement of the performance of nonlinear iteration and linear equation solvers, and on three dimensional applications. The ongoing miniaturization of semiconductor devices has prompted a shift of the focus of the modeling research lately, since the drift diffusion model does not account well for charge transport in ultra integrated devices. Extensions of the drift diffusion model (so called hydrodynamic models) are under investigation for the modeling of hot electron effects in submicron MOS-transistors, and supercomputer technology has made it possible to employ kinetic models (semiclassical Boltzmann-Poisson and Wigner Poisson equations) for the simulation of certain highly integrated devices.
Computational Mathematics Driven By Industrial Problems
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Author : R. Burkard
language : en
Publisher: Springer
Release Date : 2007-05-06
Computational Mathematics Driven By Industrial Problems written by R. Burkard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Computers categories.
These lecture notes by very authoritative scientists survey recent advances of mathematics driven by industrial application showing not only how mathematics is applied to industry but also how mathematics has drawn benefit from interaction with real-word problems. The famous David Report underlines that innovative high technology depends crucially for its development on innovation in mathematics. The speakers include three recent presidents of ECMI, one of ECCOMAS (in Europe) and the president of SIAM.
Transport Equations For Semiconductors
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Author : Ansgar Jüngel
language : en
Publisher: Springer
Release Date : 2009-04-20
Transport Equations For Semiconductors written by Ansgar Jüngel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Science categories.
Semiconductor devices are ubiquitous in the modern computer and telecommunications industry. A precise knowledge of the transport equations for electron flow in semiconductors when a voltage is applied is therefore of paramount importance for further technological breakthroughs. In the present work, the author tackles their derivation in a systematic and rigorous way, depending on certain key parameters such as the number of free electrons in the device, the mean free path of the carriers, the device dimensions and the ambient temperature. Accordingly a hierarchy of models is examined which is reflected in the structure of the book: first the microscopic and macroscopic semi-classical approaches followed by their quantum-mechanical counterparts.
Quasi Hydrodynamic Semiconductor Equations
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Author : Ansgar Jüngel
language : en
Publisher: Birkhäuser
Release Date : 2011-04-27
Quasi Hydrodynamic Semiconductor Equations written by Ansgar Jüngel and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-27 with Mathematics categories.
In this book a hierarchy of macroscopic models for semiconductor devices is presented. Three classes of models are studied in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each of the models is shown, including physical discussions. Furthermore, the corresponding mathematical problems are analyzed, using modern techniques for nonlinear partial differential equations. The equations are discretized employing mixed finite-element methods. Also, numerical simulations for modern semiconductor devices are performed, showing the particular features of the models. Modern analytical techniques have been used and further developed, such as positive solution methods, local energy methods for free-boundary problems and entropy methods. The book is aimed at applied mathematicians and physicists interested in mathematics, as well as graduate and postdoc students and researchers in these fields.
Proceedings Wascom 2003
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Author : Roberto Monaco
language : en
Publisher: World Scientific
Release Date : 2004
Proceedings Wascom 2003 written by Roberto Monaco and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This book contains about 20 invited papers and 40 contributed papers in the research areas of theoretical continuum mechanics, kinetic theory and numerical applications of continuum mechanics. Collectively these papers give a good overview of the activities and developments in these fields in the last few years. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences. Contents: Chaos in Some Linear Kinetic Models (J Banasiak); Inverse Problems in Photon Transport. Part I: Determination of Physical and Geometrical Features of an Interstellar Cloud (A Belleni-Morante et al.); Inverse Problems in Photon Transport. Part II: Features of a Source Inside an Interstellar Cloud (A Belleni-Morante & R Riganti); The Riemann Problem for a Binary Non-Reacting Mixture of Euler Fluids (F Brini & T Ruggeri); Rate of Convergence toward the Equilibrium in Degenerate Settings (L Desvillettes & C Villani); Asymptotic and Other Properties of Positive Definite Integral Measures for Nonlinear Diffusion (J N Flavin); Thermocapillary Fluid and Adiabatic Waves Near its Critical Point (H Gouin); Constitutive Models for Atactic Elastomers (C O Horgan & G Saccomandi); Considerations about the Gibbs Paradox (I Mller); Transport Coefficients in Stochastic Models of the Revised Enskog and Square-Well Kinetic Theories (J Polewczak & G Stell); Some Recent Mathematical Results in Mixtures Theory of Euler Fluids (T Ruggeri); From Kinetic Systems to Diffusion Equations (F Salvarani & J L Vizquez); Non-Boussinesq Convection in Porous Media (B Straughan); and other papers. Readership: Researchers, academics and graduate students working in the fields of continuum mechanics, wave propagation, stability in fluids, kinetic theory and computational fluid dynamics."
Partial Differential Equations And Spectral Theory
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Author : Michael Demuth
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-01
Partial Differential Equations And Spectral Theory written by Michael Demuth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-01 with Mathematics categories.
This volume collects six articles on selected topics at the frontier between partial differential equations and spectral theory, written by leading specialists in their respective field. The articles focus on topics that are in the center of attention of current research, with original contributions from the authors. They are written in a clear expository style that makes them accessible to a broader audience. The articles contain a detailed introduction and discuss recent progress, provide additional motivation, and develop the necessary tools. Moreover, the authors share their views on future developments, hypotheses, and unsolved problems.