Fractal Concepts In Surface Growth

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Fractal Concepts in Surface Growth

A.- L. Barabási,H. E. Stanley
Fractal Concepts in Surface Growth Book PDF

Author : A.- L. Barabási,H. E. Stanley
Publisher : Cambridge University Press
Page : 392 pages
File Size : 45,7 Mb
Release : 1995-04-13
Category : Mathematics
ISBN : 0521483182

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Fractal Concepts in Surface Growth by A.- L. Barabási,H. E. Stanley Pdf

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 Growth Phenomena

Tam s Vicsek
Fractal Growth Phenomena Book PDF

Author : Tam s Vicsek
Publisher : World Scientific
Page : 542 pages
File Size : 43,5 Mb
Release : 1992
Category : Mathematics
ISBN : 9810206682

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Fractal Growth Phenomena by Tam s Vicsek Pdf

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.

Fractals, Scaling and Growth Far from Equilibrium

Paul Meakin
Fractals Scaling and Growth Far from Equilibrium Book PDF

Author : Paul Meakin
Publisher : Cambridge University Press
Page : 700 pages
File Size : 53,9 Mb
Release : 1998
Category : Mathematics
ISBN : 0521452538

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Fractals, Scaling and Growth Far from Equilibrium by Paul Meakin Pdf

A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.

Fractal Concepts in Condensed Matter Physics

Tsuneyoshi Nakayama,Kousuke Yakubo
Fractal Concepts in Condensed Matter Physics Book PDF

Author : Tsuneyoshi Nakayama,Kousuke Yakubo
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 50,9 Mb
Release : 2003-07-11
Category : Mathematics
ISBN : 3540050442

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Fractal Concepts in Condensed Matter Physics by Tsuneyoshi Nakayama,Kousuke Yakubo Pdf

Concisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.

Dynamics of Fractal Surfaces

Fereydoon Family,Tam s Vicsek
Dynamics of Fractal Surfaces Book PDF

Author : Fereydoon Family,Tam s Vicsek
Publisher : World Scientific
Page : 500 pages
File Size : 43,5 Mb
Release : 1991
Category : Science
ISBN : 9810207204

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Dynamics of Fractal Surfaces by Fereydoon Family,Tam s Vicsek Pdf

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.

Fractal Growth Phenomena (2nd Edition)

Tamas Vicsek
Fractal Growth Phenomena 2nd Edition Book PDF

Author : Tamas Vicsek
Publisher : World Scientific
Page : 528 pages
File Size : 45,5 Mb
Release : 1992-06-25
Category : Science
ISBN : 9789814506199

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Fractal Growth Phenomena (2nd Edition) by Tamas Vicsek Pdf

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.

Dynamics Of Fluctuating Interfaces And Related Phenomena: Proceedings Of The 4th Ctp Workshop On Statistical

Doochul Kim,H Park,Byungnam Kahng
Dynamics Of Fluctuating Interfaces And Related Phenomena Proceedings Of The 4th Ctp Workshop On Statistical Book PDF

Author : Doochul Kim,H Park,Byungnam Kahng
Publisher : World Scientific
Page : 346 pages
File Size : 44,6 Mb
Release : 1997-09-05
Category : Electronic
ISBN : 9789814546003

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Dynamics Of Fluctuating Interfaces And Related Phenomena: Proceedings Of The 4th Ctp Workshop On Statistical by Doochul Kim,H Park,Byungnam Kahng Pdf

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.

Dynamics of Fluctuating Interfaces and Related Phenomena

Doochul Kim
Dynamics of Fluctuating Interfaces and Related Phenomena Book PDF

Author : Doochul Kim
Publisher : World Scientific
Page : 346 pages
File Size : 53,5 Mb
Release : 1997
Category : Crystal growth
ISBN : 9789814529624

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Dynamics of Fluctuating Interfaces and Related Phenomena by Doochul Kim Pdf

"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.

Fractal Physiology

James B Bassingthwaighte,Larry S Liebovitch,Bruce J West
Fractal Physiology Book PDF

Author : James B Bassingthwaighte,Larry S Liebovitch,Bruce J West
Publisher : Springer
Page : 371 pages
File Size : 49,6 Mb
Release : 2013-05-27
Category : Medical
ISBN : 9781461475729

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Fractal Physiology by James B Bassingthwaighte,Larry S Liebovitch,Bruce J West Pdf

I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.

Mathematics of Complexity and Dynamical Systems

Robert A. Meyers
Mathematics of Complexity and Dynamical Systems Book PDF

Author : Robert A. Meyers
Publisher : Springer Science & Business Media
Page : 1885 pages
File Size : 54,8 Mb
Release : 2011-10-05
Category : Mathematics
ISBN : 9781461418054

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Mathematics of Complexity and Dynamical Systems by Robert A. Meyers Pdf

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Fractals and Chaos in Chemical Engineering

Massimiliano Giona,Giuseppe Biardi
Fractals and Chaos in Chemical Engineering Book PDF

Author : Massimiliano Giona,Giuseppe Biardi
Publisher : World Scientific
Page : 722 pages
File Size : 45,6 Mb
Release : 1997
Category : Chaotic behavior in systems
ISBN : 9789814529631

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Fractals and Chaos in Chemical Engineering by Massimiliano Giona,Giuseppe Biardi Pdf

"This volume is a collection of the papers presented at the International Conference on Fractal Concepts and the Application of Chaos in Chemical Engineering Problems. The book provides a detailed description of the current research on the application of fractal concepts, nonlinear dynamics and disordered systems in chemical engineering, with emphasis on interdisciplinary connections with related fields, such as control theory of nonlinear systems, dynamic theory of fractals, transport theory and physical chemistry of heterogeneous materials."--Publisher's website.

Fractal Growth Phenomena

Tamás Vicsek
Fractal Growth Phenomena Book PDF

Author : Tamás Vicsek
Publisher : Unknown
Page : 355 pages
File Size : 52,6 Mb
Release : 1989
Category : Fractals
ISBN : 9971504227

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Fractal Growth Phenomena by Tamás Vicsek Pdf

Summarizes the basic concepts born in the studies of fractal growth as well as presents some of the more important new results for more specialized readers. May serve as a textbook on the geometrical aspects of fractal growth. Designed both for students and for more specialilzed readers.

Characterization of Amorphous and Crystalline Rough Surface -- Principles and Applications

Anonim
Characterization of Amorphous and Crystalline Rough Surface Principles and Applications Book PDF

Author : Anonim
Publisher : Elsevier
Page : 437 pages
File Size : 50,7 Mb
Release : 2000-10-23
Category : Technology & Engineering
ISBN : 9780080531380

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Characterization of Amorphous and Crystalline Rough Surface -- Principles and Applications by Anonim Pdf

The structure of a growth or an etch front on a surface is not only a subject of great interest from the practical point of view but also is of fundamental scientific interest. Very often surfaces are created under non-equilibrium conditions such that the morphology is not always smooth. In addition to a detailed description of the characteristics of random rough surfaces, Experimental Methods in the Physical Sciences, Volume 37, Characterization of Amorphous and Crystalline Rough Surface-Principles and Applications will focus on the basic principles of real and diffraction techniques for quantitative characterization of the rough surfaces. The book thus includes the latest development on the characterization and measurements of a wide variety of rough surfaces. The complementary nature of the real space and diffraction techniques is fully displayed. Key Features * An accessible description of quantitative characterization of random rough surfaces and growth/etch fronts * A detailed description of the principles, experimentation, and limitations of advanced real-space imaging techniques (such as atomic force microscopy) and diffraction techniques (such as light scattering, X-ray diffraction, and electron diffraction) * Characterization of a variety of rough surfaces (e.g., self-affine, mounded, anisotropic, and two-level surfaces) accompanied by quantitative examples to illustrate the essence of the principles * An insightful description of how rough surfaces are formed * Presentation of the most recent examples of the applications of rough surfaces in various areas

Thin Film Growth

Zexian Cao
Thin Film Growth Book PDF

Author : Zexian Cao
Publisher : Elsevier
Page : 433 pages
File Size : 49,8 Mb
Release : 2011-07-18
Category : Technology & Engineering
ISBN : 9780857093295

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Thin Film Growth by Zexian Cao Pdf

Thin film technology is used in many applications such as microelectronics, optics, hard and corrosion resistant coatings and micromechanics, and thin films form a uniquely versatile material base for the development of novel technologies within these industries. Thin film growth provides an important and up-to-date review of the theory and deposition techniques used in the formation of thin films. Part one focuses on the theory of thin film growth, with chapters covering nucleation and growth processes in thin films, phase-field modelling of thin film growth and surface roughness evolution. Part two covers some of the techniques used for thin film growth, including oblique angle deposition, reactive magnetron sputtering and epitaxial growth of graphene films on single crystal metal surfaces. This section also includes chapters on the properties of thin films, covering topics such as substrate plasticity and buckling of thin films, polarity control, nanostructure growth dynamics and network behaviour in thin films. With its distinguished editor and international team of contributors, Thin film growth is an essential reference for engineers in electronics, energy materials and mechanical engineering, as well as those with an academic research interest in the topic. Provides an important and up-to-date review of the theory and deposition techniques used in the formation of thin films Focusses on the theory and modelling of thin film growth, techniques and mechanisms used for thin film growth and properties of thin films An essential reference for engineers in electronics, energy materials and mechanical engineering

Fractals in Chemistry

Andrew Harrison
Fractals in Chemistry Book PDF

Author : Andrew Harrison
Publisher : Unknown
Page : 102 pages
File Size : 40,5 Mb
Release : 1995
Category : Language Arts & Disciplines
ISBN : UOM:39015048593779

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Fractals in Chemistry by Andrew Harrison Pdf

The fern-like patterns of frost on a cold window, eroded landscapes, and particles grown in an aerosol all have forms that are conventionally regarded as irregular, with little or no symmetry. In this book the reader is introduced to the fractal dimension, a concept that unifies the description of such diverse and irregular objects and implies that they all possess a new form of symmetry. The growth of these different objects is controlled by similar simple processes; descriptions of simple experiments that will bring the principles involved to life in a modestly equipped laboratory are also provided. The relevance of fractal concepts to the structure and chemistry of porous solids, and to the growth of polymers and colloids in liquid and gaseous phases, is emphasized within this concise text.