Physics and Fractal Structures
Author | : Jean-François Gouyet |
Publisher | : Elsevier Masson |
Total Pages | : 260 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : |
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Author | : Jean-François Gouyet |
Publisher | : Elsevier Masson |
Total Pages | : 260 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : |
Author | : Tsuneyoshi Nakayama |
Publisher | : Springer Science & Business Media |
Total Pages | : 216 |
Release | : 2013-06-29 |
Genre | : Science |
ISBN | : 3662051931 |
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.
Author | : L. Pietronero |
Publisher | : Elsevier |
Total Pages | : 489 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 0444598413 |
Fractals in Physics
Author | : Armin Bunde |
Publisher | : Springer |
Total Pages | : 317 |
Release | : 2013-12-21 |
Genre | : Science |
ISBN | : 3642779530 |
A deeply detailed discussion of fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemisty, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer demonstrations of fractal models: 14 programs are included on a 3 1/2" MS-DOS diskette which run on any PC with at least 1 MB RAM and a EGA or VGA graphics card, 16 colors.
Author | : Luciano Pietronero |
Publisher | : Springer |
Total Pages | : 356 |
Release | : 2013-12-19 |
Genre | : Medical |
ISBN | : 1489934995 |
This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du:cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.
Author | : Hideki Takayasu |
Publisher | : Manchester University Press |
Total Pages | : 196 |
Release | : 1990 |
Genre | : Fractals |
ISBN | : 9780719034343 |
Author | : Tam s Vicsek |
Publisher | : World Scientific |
Total Pages | : 542 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 9789810206680 |
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.
Author | : K.S. Birdi |
Publisher | : Springer Science & Business Media |
Total Pages | : 269 |
Release | : 2013-06-29 |
Genre | : Science |
ISBN | : 1489911243 |
In this introductory text, Dr. Birdi demonstrates experimental methods and analyses of fractal dimensions in natural processes. In addition to a general overview, he discusses in detail problems in the fields of chemistry, geochemistry, and biophysics. Both students and professionals with a minimum of mathematics or physical science training will learn to find and model shapes and patterns from their own everyday observations.
Author | : Andre HECK |
Publisher | : Springer Science & Business Media |
Total Pages | : 217 |
Release | : 2008-09-11 |
Genre | : Science |
ISBN | : 3540475826 |
'Fractal geometry addressesitselfto questions that many people have been asking themselves. It con cerns an aspect of Nature that almost everybody had been conscious of, but could not address in a formal fashion. ' 'Fractal geometry seems to be the proper language to describe the complezity of many very compli cated shapes around us. ' (Mandelbrot, 1990a) 'I believe that fractals respond to a profound un easiness in man. ' (Mandelbrot, 1990b) The catchword fractal, ever since it was coined by Mandelbrot (1975) to refer to a class of abstract mathematical objects that were already known at the turn ofthe 19th century, has found an unprecedented resonance both inside and outside the scientific community. Fractal concepts, far more than the concepts of catastrophe theory introduced a few years earlier, are currently being applied not only in the physical sciences, but also in biology and medicine (Goldberger and West 1987). In the mid-eighties, Kadanoff (1986) asked the question: 'Why all the fuss about /ractals'! '. He offered a twofold answer: in the first place, it is 'because of the practical, technological importance of fractal objects'. Indeed he emphasised the relevance of these structures for materials scientists and oil drilling engineers, in search of structures with novel properties, or models for the flow of oil through the soil. His second answer was: 'Because of the intellectual interest of fractals '.
Author | : M Matsushita |
Publisher | : World Scientific |
Total Pages | : 658 |
Release | : 1994-10-26 |
Genre | : Science |
ISBN | : 9814596809 |
During the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including biology, chemistry, earth sciences, physics and technology. Using fractal geometry as a language, it has become possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iteractive functions, colloidal aggregation, biological pattern formation and inhomogenous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality.This volume contains a selection of high quality papers that discuss the latest developments in the research of fractals. It is divided into 5 sections and contains altogether 64 papers. Each paper is written by a well known author or authors in the field. Beginning each section is a short introduction, written by a prominent author, which gives a brief overview of the topics discussed in the respective sections.