Author : Axel Voigt
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 13,15 MB
Release : 2006-03-30
Category : Mathematics
ISBN : 3764373431
Epitaxy is relevant for thin film growth and is a very active area of theoretical research since several years. Recently powerful numerical techniques have been used to link atomistic effects at the film's surface to its macroscopic morphology. This book also serves as an introduction into this highly active interdisciplinary field of research for applied mathematicians, theoretical physicists and computational materials scientists.
Author : Mathematisches Forschungsinstitut Oberwolfach
Publisher :
Page : 23 pages
File Size : 23,59 MB
Release : 2004
Category :
ISBN :
Author : Alexander Mielke
Publisher : Springer Science & Business Media
Page : 704 pages
File Size : 41,6 MB
Release : 2006-10-14
Category : Mathematics
ISBN : 3540356576
This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.
Author :
Publisher :
Page : 462 pages
File Size : 30,97 MB
Release : 2002
Category : Composite materials
ISBN :
Author : Valery Borovikov
Publisher :
Page : 286 pages
File Size : 27,7 MB
Release : 2008
Category : Epitaxy
ISBN :
The main objective of the work presented in this thesis is to contribute to the understanding of how the growth conditions may affect the surface morphology during deposition. In thin film growth physical processes in a very wide range of time and length scales are relevant. A set of quite different methods of modeling is required when aiming at a more or less complete realistic picture of the growth process. Accordingly, both computer simulations/modeling and analytic calculations were employed in our studies of thin film growth. In particular, a hybrid multi-scale model, which combines a kinetic Monte Carlo (KMC) simulation for the thermal surface diffusion with a Molecular Dynamics (MD) simulation of deposition events, was developed and successfully employed to study Cu/Cu(100) growth at a range of substrate temperatures and deposition angles. Predictive capabilities of this model allowed us to explain a number of puzzling experimental observations. Another accomplishment presented in this thesis is an analytic calculation of the surface current and selected mound angle for the case of epitaxial growth on fcc(111) surface. The results of this calculation help to understand the morphologies observed experimentally for a wide range of systems and deposition conditions.
Author :
Publisher : Elsevier
Page : 514 pages
File Size : 33,4 MB
Release : 2001-09-26
Category : Science
ISBN : 0080541003
Since its inception in 1966, the series of numbered volumes known as Semiconductors and Semimetals has distinguished itself through the careful selection of well-known authors, editors, and contributors. The Willardson and Beer series, as it is widely known, has succeeded in producing numerous landmark volumes and chapters. Not only did many of these volumes make an impact at the time of their publication, but they continue to be well-cited years after their original release. Recently, Professor Eicke R. Weber of the University of California at Berkeley joined as a co-editor of the series. Professor Weber, a well-known expert in the field of semiconductor materials, will further contribute to continuing the series' tradition of publishing timely, highly relevant, and long-impacting volumes. Some of the recent volumes, such as Hydrogen in Semiconductors, Imperfections in III/V Materials, Epitaxial Microstructures, High-Speed Heterostructure Devices, Oxygen in Silicon, and others promise that this tradition will be maintained and even expanded.
Author : Weizhu Bao
Publisher : World Scientific
Page : 285 pages
File Size : 17,9 MB
Release : 2012
Category : Mathematics
ISBN : 9814360899
The Institute for Mathematical Sciences at the National University of Singapore hosted a two-month research program on "Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design" from 1 July to 31 August 2009. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects four expanded lecture notes with self-contained tutorials. They cover a number of aspects on multiscale modeling, analysis and simulations for problems arising from materials science including some critical components in computational prediction of materials properties such as the multiscale properties of complex materials, properties of defects, interfaces and material microstructures under different conditions, critical issues in developing efficient numerical methods and analytic frameworks for complex and multiscale materials models. This volume serves to inspire graduate students and researchers who choose to embark into original research work in these fields.
Author : Willi Jäger
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 26,28 MB
Release : 2008-04-10
Category : Computers
ISBN : 3540772030
This book is about the results of a number of projects funded by the BMBF in the initiative "Mathematics for Innovations in Industry and Services". It shows that a broad spectrum of analytical and numerical mathematical methods and programming techniques are used to solve a lot of different specific industrial or services problems. The main focus is on the fact that the mathematics used is not usually standard mathematics or black box mathematics but is specifically developed for specific industrial or services problems. Mathematics is more than a tool box or an ancilarry science for other scientific disciplines or users. Through this book the reader will gain insight into the details of mathematical modeling and numerical simulation for a lot of industrial applications.
Author : Rajesh Venkataramani
Publisher :
Page : 436 pages
File Size : 50,46 MB
Release : 2000
Category :
ISBN :
Author : Panagiotis D. Christofides
Publisher : Springer Science & Business Media
Page : 247 pages
File Size : 21,30 MB
Release : 2008-10-28
Category : Science
ISBN : 0817647937
This book—the first of its kind—presents general methods for feedback controller synthesis and optimization of multiscale systems, illustrating their application to thin-film growth, sputtering processes, and catalytic systems of industrial interest. The authors demonstrate the advantages of the methods presented for control and optimization through extensive simulations. Included in the work are new techniques for feedback controller design and optimization of multiscale process systems that are not included in other books. The book also contains a rich collection of new research topics and references to significant recent work.
