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Dynamics Of Fractal Surfaces

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Dynamics Of Fractal Surfaces

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Author : Fereydoon Family
language : en
Publisher: World Scientific
Release Date : 1991

Dynamics Of Fractal Surfaces written by Fereydoon Family and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.

In the last few years there has been an explosion of activity in the field of the dynamics of fractal surfaces, which, through the convergence of important new results from computer simulations, analytical theories and experiments, has led to significant advances in our understanding of nonequilibrium surface growth phenomena. This interest in surface growth phenomena has been motivated largely by the fact that a wide variety of natural and industrial processes lead to the formation of rough surfaces and interfaces. This book presents these developments in a single volume by bringing together the works containing the most important results in the field.The material is divided into chapters consisting of reprints related to a single major topic. Each chapter has a general introduction to a particular aspect of growing fractal surfaces. These introductory parts are included in order to provide a scientific background to the papers reproduced in the main part of the chapters. They are written in a pedagogical style and contain only the most essential information. The contents of the reprints are made more accessible to the reader as they are preceded by a short description of what the editors find to be the most significant results in the paper.

Dynamics Of Fractal Surfaces

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Author : Fereydoon Family
language : en
Publisher: World Scientific
Release Date : 1991

Fractal Growth Phenomena

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Author : Tam s Vicsek
language : en
Publisher: World Scientific
Release Date : 1992

Fractal Growth Phenomena written by Tam s Vicsek and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

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.

Fractal Functions Fractal Surfaces And Wavelets

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Author : Peter R. Massopust
language : en
Publisher: Academic Press
Release Date : 2016-09-02

Fractal Functions Fractal Surfaces And Wavelets written by Peter R. Massopust and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-02 with Mathematics categories.

Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust's work on and contributions to the theory of fractal interpolation, and the author uses a number of tools—including analysis, topology, algebra, and probability theory—to introduce readers to this exciting subject. Though much of the material presented in this book is relatively current (developed in the past decades by the author and his colleagues) and fairly specialized, an informative background is provided for those entering the field. With its coherent and comprehensive presentation of the theory of univariate and multivariate fractal interpolation, this book will appeal to mathematicians as well as to applied scientists in the fields of physics, engineering, biomathematics, and computer science. In this second edition, Massopust includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, further develops the connections to wavelets and wavelet sets, and deepens and extends the pedagogical content. - Offers a comprehensive presentation of fractal functions and fractal surfaces - Includes latest developments in fractal interpolation - Connects fractal geometry with wavelet theory - Includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, and further develops the connections to wavelets and wavelet sets - Deepens and extends the pedagogical content

Fractal Concepts In Surface Growth

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Author : A.- L. Barabási
language : en
Publisher: Cambridge University Press
Release Date : 1995-04-13

Fractal Concepts In Surface Growth written by A.- L. Barabási and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-13 with Mathematics categories.

This book brings together two of the most exciting and widely studied subjects in modern physics: namely fractals and surfaces. To the community interested in the study of surfaces and interfaces, it brings the concept of fractals. To the community interested in the exciting field of fractals and their application, it demonstrates how these concepts may be used in the study of surfaces. The authors cover, in simple terms, the various methods and theories developed over the past ten years to study surface growth. They describe how one can use fractal concepts successfully to describe and predict the morphology resulting from various growth processes. Consequently, this book will appeal to physicists working in condensed matter physics and statistical mechanics, with an interest in fractals and their application. The first chapter of this important new text is available on the Cambridge Worldwide Web server: http://www.cup.cam.ac.uk/onlinepubs/Textbooks/textbookstop.html

Fractal Surfaces

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Author : John C. Russ
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Fractal Surfaces written by John C. Russ 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 2013-11-11 with Science categories.

The author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems and, perhaps, leading to an understanding of the reasons that Nature has adopted this geometry to shape much of our world.

Thinking In Patterns

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Author : Miroslav Michal Novak
language : en
Publisher: World Scientific
Release Date : 2004

Thinking In Patterns written by Miroslav Michal Novak 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 Science categories.

Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors.This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics ? from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences

Dynamics Of Surfaces And Reaction Kinetics In Heterogeneous Catalysis

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Author : G.F. Froment
language : en
Publisher: Elsevier
Release Date : 1997-09-03

Dynamics Of Surfaces And Reaction Kinetics In Heterogeneous Catalysis written by G.F. Froment and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-03 with Technology & Engineering categories.

Many processes of the chemical industry are based upon heterogeneous catalysis. Two important items of these processes are the development of the catalyst itself and the design and optimization of the reactor. Both aspects would benefit from rigorous and accurate kinetic modeling, based upon information on the working catalyst gained from classical steady state experimentation, but also from studies using surface science techniques, from quantum chemical calculations providing more insight into possible reaction pathways and from transient experimentation dealing with reactions and reactors. This information is seldom combined into a kinetic model and into a quantitative description of the process. Generally the catalytic aspects are dealt with by chemists and by physicists, while the chemical engineers are called upon for mechanical aspects of the reactor design and its control. The symposium "Dynamics of Surfaces and Reaction Kinetics in Heterogeneous Catalysis" aims at illustrating a more global and concerted approach through a number of prestigious keynote lectures and severely screened oral and poster presentations.

Fractals In Engineering Proceedings Of The Conference On Fractals In Engineering 94

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Author : C Trico
language : en
Publisher: World Scientific
Release Date : 1995-01-16

Fractals In Engineering Proceedings Of The Conference On Fractals In Engineering 94 written by C Trico and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-16 with categories.

Fractal sets serve as excellent models in Physics, Chemistry, Biology and other fields. However, the actual applications of these fascinating models are often unknown even to specialists in fractal theories. The communication of the most recent results utilising fractal concepts in experimental and industrial engineering research was thus a major challenge discussed in the above conference.The resulting proceedings are organised around five main themes: Materials Processing, Flow, Natural Sciences, Signal and Image Analysis and Mathematical Methods. Almost 50 papers are included in this volume. Besides the classical topics, the book also introduces an important session on Fractal Signal and Image Analysis, a subject which is rapidly gaining recognition in computer science and engineering for its promising industrial applications.

Dynamics Of Fluctuating Interfaces And Related Phenomena

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Author : CTP Workshop on Statistical Physics 1997, Seoul National University
language : en
Publisher: World Scientific
Release Date : 1997

Dynamics Of Fluctuating Interfaces And Related Phenomena written by CTP Workshop on Statistical Physics 1997, Seoul National University and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Crystal growth categories.

"Roughening dynamics of various interface problems has been an attractive topic recently. The subject is related to many interdisciplinary branches in nonequilibrium statistical physics such as crystal growth, vortex dynamics, fractals and chaos, and self-organized critical phenomena. This volume includes pedagogical reviews of the scaling concepts in fluctuating surfaces, current theories on expitaxial growth phenomena and interface dynamics in disordered media, and many other related topics. Thus it serves as a valuable reference for both graduate students and researchers in statistical physics and materials science."--Publisher's website.

Dynamics Of Fractal Surfaces

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