Fractals And Disordered Systems
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Fractals And Disordered Systems
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Author : Armin Bunde
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fractals And Disordered Systems written by Armin Bunde 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 2012-12-06 with Science categories.
Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses, and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In 10 chapters written by leading experts in the field, including E. Stanley and B. Mandelbrot, the reader is introduced to basic concepts and techniques in disordered systems and is lead to the forefront of current research. In each chapter the connection between theory and experiment is emphasized, and a special chapter entitled "Fractals and Experiments" presents experimental studies of fractal systems in the laboratory. The book is written pedagogically. It can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.
Diffusion And Reactions In Fractals And Disordered Systems
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Author : Daniel ben-Avraham
language : en
Publisher: Cambridge University Press
Release Date : 2000-11-02
Diffusion And Reactions In Fractals And Disordered Systems written by Daniel ben-Avraham 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 2000-11-02 with Mathematics categories.
This book describes diffusion and transport in disordered media such as fractals and random resistor networks.
Fractal Concepts In Condensed Matter Physics
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Author : Tsuneyoshi Nakayama
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Fractal Concepts In Condensed Matter Physics written by Tsuneyoshi Nakayama 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 2013-06-29 with Science categories.
Concisely and clearly written, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics in condensed matter physics and statistical mechanics. The first part outlines different fractal structures observed in condensed matter. The main part of the book is dedicated to the dynamical behaviour of fractal structures, including anomalous and percolating systems. The concept of multifractals is illustrated for the metal-insulator quantum phase transition. The authors emphasize the unified description of these different dynamic problems, thus making the book accessible to readers who are new to the field.
Fractals And Disordered Systems
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Author : Armin Bunde
language : de
Publisher:
Release Date : 1996
Fractals And Disordered Systems written by Armin Bunde and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Fractals And Disorder
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Author : Armin Bunde
language : en
Publisher:
Release Date : 1992
Fractals And Disorder written by Armin Bunde and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
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
Fractals Scaling And Growth Far From Equilibrium
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Author : Paul Meakin
language : en
Publisher: Cambridge University Press
Release Date : 1998
Fractals Scaling And Growth Far From Equilibrium written by Paul Meakin 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 1998 with Mathematics categories.
A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.
Fractals And Chaos
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Author : Benoit Mandelbrot
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Fractals And Chaos written by Benoit Mandelbrot 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 2013-06-29 with Mathematics categories.
It has only been a couple of decades since Benoit Mandelbrot published his famous picture of what is now called the Mandelbrot set. That picture, now seeming graphically primitive, has changed our view of the mathematical and physical universe. The properties and circumstances of the discovery of the Mandelbrot Set continue to generate much interest in the research community and beyond. This book contains the hard-to-obtain original papers, many unpublished illustrations dating back to 1979 and extensive documented historical context showing how Mandelbrot helped change our way of looking at the world.
Percolation
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Author : Geoffrey R. Grimmett
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Percolation written by Geoffrey R. Grimmett 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 2013-03-09 with Mathematics categories.
Percolation theory is the study of an idealized random medium in two or more dimensions. The mathematical theory is mature, and continues to give rise to problems of special beauty and difficulty. Percolation is pivotal for studying more complex physical systems exhibiting phase transitions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. The book is intended for graduate students and researchers in probability and mathematical physics. Almost no specialist knowledge is assumed. Much new material appears in this second edition, including: dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.