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Growth And Diffusion Phenomena
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Book Synopsis Growth and Diffusion Phenomena by : Robert B. Banks
Download or read book Growth and Diffusion Phenomena written by Robert B. Banks and published by Springer Science & Business Media. This book was released on 1993-12-22 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion and growth phenomena abound in the real world surrounding us. Someexamples: growth of the world's population, growth rates of humans, public interest in news events, growth and decline of central city populations, pollution of rivers, adoption of agricultural innovations, and spreading of epidemics and migration of insects. These and numerous other phenomena are illustrations of typical growth and diffusion problems confronted in many branches of the physical, biological and social sciences as well as in various areas of agriculture, business, education, engineering medicine and public health. The book presents a large number of mathematical models to provide frameworks forthe analysis and display of many of these. The models developed and utilizedcommence with relatively simple exponential, logistic and normal distribution functions. Considerable attention is given to time dependent growth coefficients and carrying capacities. The topics of discrete and distributed time delays, spatial-temporal diffusion and diffusion with reaction are examined. Throughout the book there are a great many numerical examples. In addition and most importantly, there are more than 50 in-depth "illustrations" of the application of a particular framework ormodel based on real world problems. These examples provide the reader with an appreciation of the intrinsic nature of the phenomena involved. They address mainly readers from the physical, biological, and social sciences, as the only mathematical background assumed is elementary calculus. Methods are developed as required, and the reader can thus acquire useful tools for planning, analyzing, designing,and evaluating studies of growth transfer and diffusion phenomena. The book draws on the author's own hands-on experience in problems of environmental diffusion and dispersion, as well as in technology transfer and innovation diffusion.
Book Synopsis Growth and Diffusion Phenomena by : Robert B. Banks
Download or read book Growth and Diffusion Phenomena written by Robert B. Banks and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion and growth phenomena abound in the real world surrounding us. Someexamples: growth of the world's population, growth rates of humans, public interest in news events, growth and decline of central city populations, pollution of rivers, adoption of agricultural innovations, and spreading of epidemics and migration of insects. These and numerous other phenomena are illustrations of typical growth and diffusion problems confronted in many branches of the physical, biological and social sciences as well as in various areas of agriculture, business, education, engineering medicine and public health. The book presents a large number of mathematical models to provide frameworks forthe analysis and display of many of these. The models developed and utilizedcommence with relatively simple exponential, logistic and normal distribution functions. Considerable attention is given to time dependent growth coefficients and carrying capacities. The topics of discrete and distributed time delays, spatial-temporal diffusion and diffusion with reaction are examined. Throughout the book there are a great many numerical examples. In addition and most importantly, there are more than 50 in-depth "illustrations" of the application of a particular framework ormodel based on real world problems. These examples provide the reader with an appreciation of the intrinsic nature of the phenomena involved. They address mainly readers from the physical, biological, and social sciences, as the only mathematical background assumed is elementary calculus. Methods are developed as required, and the reader can thus acquire useful tools for planning, analyzing, designing,and evaluating studies of growth transfer and diffusion phenomena. The book draws on the author's own hands-on experience in problems of environmental diffusion and dispersion, as well as in technology transfer and innovation diffusion.
Book Synopsis Diffusion Phenomena by : Richard Ghez
Download or read book Diffusion Phenomena written by Richard Ghez and published by Courier Dover Publications. This book was released on 2018-12-18 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative test introduces the basic aspects of diffusion phenomena and their methods of solution through physical examples. It emphasizes modeling and methodology, bridging the gap between physico chemical statements of certain kinetic processes and their reduction to diffusion problems. Author Richard Ghez draws upon his experience in the areas of metallurgy and semiconductor technology to present physically significant examples that will prove of interest to a wide range of scientists — physicists, chemists, biologists, and applied mathematicians. Prerequisites include a rigorous year of calculus and a semester of thermodynamics. The opening chapter on the diffusion equation is succeeded by chapters on steady-state examples, diffusion under external forces, and simple time-dependent examples. An introduction to similarity is followed by explorations of surface rate limitations and segregation, a user's guide to the Laplace transform, and further time-dependent examples.
Book Synopsis Fractal Growth Phenomena by : Tam s Vicsek
Download or read book Fractal Growth Phenomena written by Tam s Vicsek and published by World Scientific. This book was released on 1992 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes. This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.
Book Synopsis Analysis of the Characteristics of Diffusion Mechanisms for Fractal Growth Phenomena by : Francis M. Mutchler-Lee
Download or read book Analysis of the Characteristics of Diffusion Mechanisms for Fractal Growth Phenomena written by Francis M. Mutchler-Lee and published by . This book was released on 1994 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Diffusion Phenomena by : Richard Ghez
Download or read book Diffusion Phenomena written by Richard Ghez and published by Springer. This book was released on 2010-12-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a second edition of the one that was published by John Wiley & Sons in 1988. It carries a new title because the former one, A Primer of Diffusion Problems, gave the impression of consisting merely of a set of problems relating to diffusion. Nonetheless, my intention was clearly spelled out and it remains the same, namely, to teach basic aspects and methods of solution for diffusion phenomena through physical examples. Again, I emphasize that the coverage is not encyclopedic. There exist already several outstanding works of that nature, for example, J. Philibert's Atom Movements, Diffusion and Mass Transport in Solids. My emphasis is on modeling and methodology. This book should thus constitute a consistent introduction to diffusion phenomena, whatever their origin or further application. This edition has been largely revised. It contains a completely new chapter and three new appendices. I have added several new exercises stemming from my experience in teaching this material over the last 15 years. I hope that they will be instructive to the reader for they were not chosen perfunctorily. Although they are the bane of authors and of readers, I have retained footnotes if they might help the reader's comprehension. Additional, but nonessential material is collected at the end of chapters, and is indicated in the text by superscripts.
Book Synopsis Diffusion Phenomena: Aspects of Characterization and Experiments by : Andreas Öchsner
Download or read book Diffusion Phenomena: Aspects of Characterization and Experiments written by Andreas Öchsner and published by Trans Tech Publications Ltd. This book was released on 2016-04-28 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Present issue is devoted to problems classical mass diffusion such as phase transformations, corrosion behavior, coatings and microstructures and extensions to new research in the field of nanotechnology. Were investigated classical carbon and alloy steels, titanium and aluminum alloys as well as polymer materials. Technical applications relate to oil recovery, surface quality, and improved material properties for machining and processing. Many of these topics are related to experimental measurements and methods as well as numerical simulation and approaches to predict properties and processes.
Book Synopsis Fractal Growth Phenomena (2nd Edition) by : Tamas Vicsek
Download or read book Fractal Growth Phenomena (2nd Edition) written by Tamas Vicsek and published by World Scientific. This book was released on 1992-06-25 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes.This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.
Book Synopsis Diffusion in Condensed Matter by : Paul Heitjans
Download or read book Diffusion in Condensed Matter written by Paul Heitjans and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 971 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive, handbook-style survey of diffusion in condensed matter gives detailed insight into diffusion as the process of particle transport due to stochastic movement. It is understood and presented as a phenomenon of crucial relevance for a large variety of processes and materials. In this book, all aspects of the theoretical fundamentals, experimental techniques, highlights of current developments and results for solids, liquids and interfaces are presented.
Book Synopsis Diffusion Phenomena at Interfaces by : Malcolm George Hall
Download or read book Diffusion Phenomena at Interfaces written by Malcolm George Hall and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Kinetic Processes by : Kenneth A. Jackson
Download or read book Kinetic Processes written by Kenneth A. Jackson and published by John Wiley & Sons. This book was released on 2010-08-09 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this completely revised edition, all the chapters have been updated to reflect the current state of crystal growth kinetics. At the same time, fifteen percent additional content now allows coverage of computer-assisted modeling of second-order phase changes, microstructure development, novel data and images of coarsening mechanisms, with the most significant single addition being breakthrough results on spinodal decomposition -- published here for the first time in book form. The refined didactical approach with a streamlined presentation now allows readers to grasp the kinetic concepts even more easily, coherently introducing the field of kinetic processes, especially those involved in crystal growth, and explaining such phenomena as diffusion, nucleation, segregation and phase transitions at a level accessible to graduate students. In addition to the basic kinetic concepts, the textbook presents modern applications where these processes play a major role, including ion implantation, plasma deposition and rapid thermal processing.
Book Synopsis The Mathematics of Diffusion by : John Crank
Download or read book The Mathematics of Diffusion written by John Crank and published by Oxford University Press. This book was released on 1979 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.
Book Synopsis Parabolic Equations in Biology by : Benoît Perthame
Download or read book Parabolic Equations in Biology written by Benoît Perthame and published by Springer. This book was released on 2015-09-09 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.
Book Synopsis A Critical Evaluation of the Terminology of Diffusion Phenomena by : Bernard S. Meyer
Download or read book A Critical Evaluation of the Terminology of Diffusion Phenomena written by Bernard S. Meyer and published by . This book was released on 1945 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spatial Diffusion by : Richard Morrill
Download or read book Spatial Diffusion written by Richard Morrill and published by SAGE Publications, Incorporated. This book was released on 1988-02-01 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this concise, clear introduction, the authors describe the theory of spatial diffusion, its method of measurement and many of its applications. The seminal work of Torsten Hagerstrand, who introduced the original spatial model of diffusion, is outlined. The authors then summarise the developments that have been made to Hagerstrand's formulation, and make suggestions for future research.
Book Synopsis 2019-20 MATRIX Annals by : Jan de Gier
Download or read book 2019-20 MATRIX Annals written by Jan de Gier and published by Springer Nature. This book was released on 2021-02-10 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions · Australian-German Workshop on Differential Geometry in the Large · Aperiodic Order meets Number Theory · Ergodic Theory, Diophantine Approximation and Related Topics · Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases · International Workshop on Spatial Statistics · Mathematics of Physiological Rhythms · Conservation Laws, Interfaces and Mixing · Structural Graph Theory Downunder · Tropical Geometry and Mirror Symmetry · Early Career Researchers Workshop on Geometric Analysis and PDEs · Harmonic Analysis and Dispersive PDEs: Problems and Progress The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
Book Synopsis The Role of Diffusion Processes in Fertility Change in Developing Countries by : Committee on Population
Download or read book The Role of Diffusion Processes in Fertility Change in Developing Countries written by Committee on Population and published by National Academies Press. This book was released on 1999-04-12 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report summarizes presentations and discussions at the Workshop on the Social Processes Underlying Fertility Change in Developing Countries, organized by the Committee on Population of the National Research Council (NRC) in Washington, D.C., January 29-30, 1998. Fourteen papers were presented at the workshop; they represented both theoretical and empirical perspectives and shed new light on the role that diffusion processes may play in fertility transition. These papers served as the basis for the discussion that is summarized in this report.
