Download or read book Qualitative Analysis of Hydrodynamical Models of Charge Transport in Semiconductors written by Aleksandr Mikhaĭlovich Blokhin and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Qualitative Analysis of Hydrodynamical Models of Charge Transport in Semiconductors written by Aleksandr Mikhaĭlovich Blokhin and published by . This book was released on 2011 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)
Download or read book Semiconductor Devices written by Amal Banerjee and published by Springer Nature. This book was released on 2023-10-16 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines in detail how a semiconductor device is designed and fabricated to satisfy best the requirements of the target application. The author presents and explains both basic and state-of-art semiconductor industry standards used in large/small signal equivalent circuit models for semiconductor devices that electronics engineers routinely use in their design calculations. The presentation includes detailed, step-by-step information on how a semiconductor device is fabricated, and the very sophisticated supporting technologies used in the process flow. The author also explains how standard laboratory equipment can be used to extract useful performance metrics of a semiconductor device.
Download or read book Analysis of Charge Transport written by Joseph W. Jerome and published by Springer. This book was released on 2011-12-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Charge Transport in Low Dimensional Semiconductor Structures written by Vito Dario Camiola and published by Springer Nature. This book was released on 2020-03-02 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers, from both a theoretical and a computational perspective, an analysis of macroscopic mathematical models for description of charge transport in electronic devices, in particular in the presence of confining effects, such as in the double gate MOSFET. The models are derived from the semiclassical Boltzmann equation by means of the moment method and are closed by resorting to the maximum entropy principle. In the case of confinement, electrons are treated as waves in the confining direction by solving a one-dimensional Schrödinger equation obtaining subbands, while the longitudinal transport of subband electrons is described semiclassically. Limiting energy-transport and drift-diffusion models are also obtained by using suitable scaling procedures. An entire chapter in the book is dedicated to a promising new material like graphene. The models appear to be sound and sufficiently accurate for systematic use in computer-aided design simulators for complex electron devices. The book is addressed to applied mathematicians, physicists, and electronic engineers. It is written for graduate or PhD readers but the opening chapter contains a modicum of semiconductor physics, making it self-consistent and useful also for undergraduate students.
Download or read book A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences written by Riccardo Sacco and published by Academic Press. This book was released on 2019-07-18 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences provides a systematic methodology to the formulation of problems in biomedical engineering and the life sciences through the adoption of mathematical models based on physical principles, such as the conservation of mass, electric charge, momentum, and energy. It then teaches how to translate the mathematical formulation into a numerical algorithm that is implementable on a computer. The book employs computational models as synthesized tools for the investigation, quantification, verification, and comparison of different conjectures or scenarios of the behavior of a given compartment of the human body under physiological and pathological conditions. Presents theoretical (modeling), biological (experimental), and computational (simulation) perspectives Features examples, exercises, and MATLAB codes for further reader involvement Covers basic and advanced functional and computational techniques throughout the book
Download or read book Scientific Computing in Electrical Engineering written by G. Ciuprina and published by Springer Science & Business Media. This book was released on 2007-05-30 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected papers presented at the last Scientific Computing in Electrical Engineering (SCEE) Conference, held in Sinaia, Romania, in 2006. The series of SCEE conferences aims at addressing mathematical problems which have a relevance to industry, with an emphasis on modeling and numerical simulation of electronic circuits, electromagnetic fields but also coupled problems and general mathematical and computational methods.
Download or read book Analysis of Domain Decomposition Methods for the Simulation of Charge Transport in Semiconductor Structures with Heterojunctions written by Timothy B. Costa and published by . This book was released on 2014 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charge transport in a semiconductor structure with heterojunction is described by a multiscale partial differential equation model. This model can be used, e.g., for the design of more efficient solar cells. Phenomena at the heterojunction must be resolved at the angstrom scale while the size of the device is that of microns. The challenge is therefore to account for correct physics and to keep the model computationally tractable. Thus we use an approach introduced by Horio and Yanai in which the physics at the interface is approximated at the device scale, which is handled by tranditional drift diffusion equations, by unusual jump conditions, called thermionic emission equations. In this model the heterojunction region is approximated by an abrupt interface, resulting in a loss of continuity in the primary variables. The thermionic emission equations consist of a nonhomogeneous jump in the electrostatic potential and unusual Robin-like conditions for carrier transport. The data for these jumps is determined from an angstrom scale first principles calculation in the true heterojunction region. The continuum scale model lends itself well to a domain decomposition approach. In this thesis we present iterative substructuring methods developed for the drift diffusion system with thermionic emission transmission conditions and analyze the convergence of these algorithms.
Download or read book Monte Carlo Simulations of Charge Transport in Organic Semiconductors written by Pyie Phyo Aung and published by . This book was released on 2014 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thin film organic semiconductors have applications in electronic devices such as transistors, light emitting diodes, and organic solar cells. The performance of such devices depends on the mobility of the charge carriers which is strongly affected by the morphology of the material. In this work, we perform Monte Carlo simulations to study charge transport in lattice models of homogeneous and heterogeneous materials. The model device consists of a layer of the material between two electrodes at different potentials. Charge carriers are injected from the electrodes and move by hopping under the influence of the electric field and Coulomb interactions. To model the effect of polymer chain connectivity on charge transport we include an energetic barrier to hopping between sites on different chains. We measure current-voltage (I-V) characteristics of model devices and determine the mobility of the charge carriers from the slope of the I-V curves in the ohmic regime. We validate our algorithms with simulations of simple devices consisting of two parallel layers of donor and acceptor materials between the electrodes. To study the effect of ordered domains in polymeric semiconductors we simulate charge transport in a recently developed lattice model for polymers that undergo an order-disorder transition. We find that ordering in the material leads to strong anisotropies with increased mobility for transport parallel to the ordered domains and reduced mobility for perpendicular transport.
Download or read book ERDA Energy Research Abstracts written by United States. Energy Research and Development Administration and published by . This book was released on 1977 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Download or read book Energy Research Abstracts written by and published by . This book was released on 1987 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Government wide Index to Federal Research Development Reports written by and published by . This book was released on 1966 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NBS Special Publication written by and published by . This book was released on 1968 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
