Fractals in Chemistry

Fractals in Chemistry
Author: Walter G. Rothschild
Publisher: Wiley-Interscience
Total Pages: 0
Release: 1998-08-18
Genre: Science
ISBN: 9780471179689

A practical guide to solving problems in chemistry with fractal geometry. It has been two decades since Mandelbrot formulated his revolutionary theories of fractal geometry. Yet, in that brief time, fractals -those strangely beautiful infinite geometric patterns -and the computational processes that give rise to them have become a valued research tool in a broad array of scientific, social-scientific, and commercial fields. While inroads also have been made in applying fractals to theoretical and applied chemistry, there continues to be a dearth of texts and references on the subject. This book helps fill that gap in the literature. Fractals in Chemistry provides chemists with a concise, practical introduction to fractal theory and its applications to a wide range of "bread and butter" issues in chemistry. Drawing upon his considerable experience as a researcher who helped pioneer some of the methods he describes, Walter Rothschild critically appraises the power and limitations of the fractal approach and shows how it can provide more predictive classification schemes and explain phenomena difficult to handle by classical means. Then, with the help of nearly 100 illustrations, he demonstrates how to apply fractals to model chemical phenomena such as adsorption, aggregation, catalysis, chemical reactivity, degradation, and turbulent flames, and how to understand dynamics on fractals in terms of fractons in diffusion-limited reactions, dispersive spectroscopies, and energy transfer. Fractals in Chemistry is both a valuable working resource for professionals in physical chemistry, chemical physics, and computer modeling and an excellent graduate-level text for courses covering the use of fractals in chemistry.

Fractals in Chemistry, Geochemistry, and Biophysics

Fractals in Chemistry, Geochemistry, and Biophysics
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.

Fractals in Chemistry

Fractals in Chemistry
Author: Andrew Harrison
Publisher:
Total Pages: 102
Release: 1995
Genre: Language Arts & Disciplines
ISBN:

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.

Fractals in Science

Fractals in Science
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.

Fractals, Quasicrystals, Chaos, Knots and Algebraic Quantum Mechanics

Fractals, Quasicrystals, Chaos, Knots and Algebraic Quantum Mechanics
Author: Anton Amann
Publisher: Springer Science & Business Media
Total Pages: 334
Release: 2012-12-06
Genre: Science
ISBN: 9400930054

At the end of the workshop on "New Theoretical Concepts in Physical Chemistry", one of the participants made an attempt to present a first impression of its achievements from his own personal standpoint. Appar ently his views reflected a general feeling, so that the organizers thought they would be suitable as a presentation of the proceedings for future readers. That is the background from which this foreword was born. The scope of the workshop is a very broad one. There are contribu tions from mathematics, physics, crystallography, chemistry and biology; the problems are approached either by means of axiomatic and rigorous methods, or at an empirical phenomenological level. This same diversifi cation can be found in the new basic concepts presented. Some arise from pure theoretical investigation in C*-algebra or in quantum probability theory; others from an analysis of very complex experimental data like nuclear energy levels, or processes on the frontier between classical and quantum physics; others again have their origin in the discovery of new ordered structures like the icosahedral crystal phases, or the knots of DNA molecules; others follow from the application of ideas like frac tals or chaos to new fields like spectral theory or chemical reactions. It is to be expected that readers will have to face the same sort of difficulties as did the participants in understanding such diverse languages, in applying themselves to subjects possibly far from their own experience, and in grasping highly sophisticated new concepts.

Fractals

Fractals
Author: Harold M. Hastings
Publisher: Oxford University Press, USA
Total Pages: 256
Release: 1993
Genre: Language Arts & Disciplines
ISBN:

Fractals: A User's Guide for the Natural Sciences explains Mandelbrot's fractal geometry and describes some of its applications in the natural world. Written to enable students and researchers to master the methods of this timely subject, the book steers a middle course between the formality of many papers in mathematics and the informality of picture-orientated books on fractals. It is both a logically developed text and an essential `fractals for users' handbook.

Chaos and Fractals

Chaos and Fractals
Author: Heinz-Otto Peitgen
Publisher: Springer Science & Business Media
Total Pages: 1013
Release: 2013-06-29
Genre: Mathematics
ISBN: 1475747403

For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

Fractals in Physics

Fractals in Physics
Author: L. Pietronero
Publisher: Elsevier
Total Pages: 489
Release: 2012-12-02
Genre: Science
ISBN: 0444598413

Fractals in Physics

Fractal Geometry in Biological Systems

Fractal Geometry in Biological Systems
Author: Philip M. Iannaccone
Publisher: CRC Press
Total Pages: 448
Release: 1996-07-25
Genre: Science
ISBN: 9780849376368

Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.

Fractals In Natural Science

Fractals In Natural Science
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.