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Wednesday, April 29, 2020 | History

6 edition of Fractals and disordered systems found in the catalog.

Fractals and disordered systems

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  • 28 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Fractals.,
  • Chaotic behavior in systems.,
  • Order-disorder models.

  • Edition Notes

    Includes bibliographical references and index.

    StatementArmin Bunde, Shlomo Havlin, eds.
    ContributionsBunde, Armin, 1947-, Havlin, Shlomo.
    Classifications
    LC ClassificationsQA614.86 .F72 1991
    The Physical Object
    Paginationxiii, 350 p. :
    Number of Pages350
    ID Numbers
    Open LibraryOL1547729M
    ISBN 100387540709
    LC Control Number91027138


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Fractals and disordered systems Download PDF EPUB FB2

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.4/5(1).

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.

Fractals and Disordered Systems $ Usually ships within 6 to 10 days. Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.

Apple. Android. Windows Phone Cited by: 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.

Editors: Armin Bunde. Univ. Giessen, Giessen, Germany, Shlomo Havlin. Bar-Ilan Univ., Ramat Gan, Israel. About this book Fractals, Diffusion and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.

In recent years, a wide range of complex structures of interest to scientists, engineers and physicians have been quantitatively characterized using the idea of a fractal dimension: a dimension that corresponds in a unique fashion to the geometrical shape under study, and.

Typeface Times 11/14pt. System LATEX2" [DBD] A catalogue record of this Fractals and disordered systems book is available from the British Library Library of Congress Cataloguing in Publication data Ben-Avraham, Daniel, – Diffusion and reactions in fractals and disordered systems / Daniel ben-Avraham and Shlomo Havlin.

ISBN 0 6 (hc.) 1. Diffusion. About this book Fractals, Diffusion, and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.

This book describes diffusion and transport in disordered media such as fractals, porous rocks and random resistor networks. Divided into four Parts, Part I contains material of general interest to statistical physics: fractals, percolation theory, regular random walks and diffusion, continuous time random walks and Lévy walks and by: Fractals and disordered systems have recently become a focus of great 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 for describing them in.

Fractal structures are found everywhere in nature, and as a consequence anomalous diffusion has far-reaching implications for a host of phenomena. This book describes diffusion and transport in disordered media such as fractals, porous rocks, and random resistor networks. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Fractals and Multifractals: The Interplay of Physics and Geometry 2. Percolation I 3. Percolation II 4. Fractal Growth 5. Fractures 6. Transport Across Irregular Interfaces: Fractal Electrodes, Membranes, and Catalysts 7.

Fractal Surfaces and Interfaces 8. Fractals and Experiments 9. Cellular Automata Exactly Self-similar Left-sided. Preface; Part I. Basic Concepts: 1. Fractals; 2. Percolation; 3. Random walks and diffusion; 4. Beyond random walks; Part II. Anomalous Diffusion: 5. Diffusion in the Cited by: Fractals and disordered systems have recently become the focus of intense interest in research circles.

This book discusses in 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.

AndersMalthe-Sorenssen∗ Percolation and Disordered Systems–ANumericalApproach Apr30, Springer ∗DepartmentofPhysics,UniversityofOslo,Norway. Fractal structures are found everywhere in nature, and as a consequence anomalous diffusion has far reaching implications in a host of phenomena.

This book describes diffusion and transport in disordered media such as fractals, porous rocks and random resistor networks. Disordered transition rates Types of disorder The power-law distribution of transition rates The power-law distribution of potential barriers and wells Barriers and wells in strips (n x oo) and in d > 2 Barriers and wells in fractals Random transition rates in one dimension Exercises Open challenges Further reading Biased anomalous diffusion.

This book is a compilation of the presentations given at the Fourth International Symposium on Fractals in Biology and Medicine held in Ascona, Switzerland on - th 13 March and was dedicated to Professor Benoît Mandelbrot in honour of his 80 birthday.

The Symposium was the fourth of a series that originated back inalways in Ascona. Diffusion and Reactions in Fractals and Disordered Systems - by Daniel ben-Avraham November Email your librarian or administrator to recommend adding this book to your organisation's collection.

Diffusion and Reactions in Fractals and Disordered Systems. Daniel ben-Avraham, Shlomo Havlin; Online ISBN: Fractals in Physics. Book • Edited by: Luciano PIETRONERO and Erio TOSATTI. Hierarchical and fractal features of disordered systems. We study the dynamics of reactions in random systems by using fractal models which account for spatial and temporal disorder.

We focus on pseudounimolecular (trapping, target) and on bimolecular. For details on diffusion and reactions in fractals and disordered Systems, we refer the reader to the text [14]. Using the Riemann-Liouville fractional operator, the unsteady axial Couette flow of. Books shelved as fractals: The Fractal Geometry of Nature by Benoît B.

Mandelbrot, Altar of Eden by James Rollins, Mysterious Patterns: Finding Fractals. Synopsis "Fractals, Diffusion, and Relaxation in Disordered Complex Systems" is a special guest-edited, two-part volume of "Advances in Chemical Physics" that continues to report recent advances with significant, up-to-date chapters by internationally recognized cturer: Wiley-Interscience.

Book review: Armin Bunde and Shlomo Havlin, (Fractals and disordered systems). second revised and enlarged edition T.

Gregory Dewey 1 1 Department of Chemistry and Author: T. Gregory Dewey. “The book's clear introduction to the whole set of problems at the physical level helps readers feel comfortable with various complex mathematical models of disordered systems I recommend that students of the physics and chemistry of glasses and disordered materials or experienced researchers in the subject not pass up this book.

Book: Diffusion and Reactions in Fractals and Disordered Systems. Daniel ben-Avraham, Clarkson University,New York,U.S.A. Shlomo Havlin, Bar Ilan University, Ramat Gan, Israel.

Cambridge University Press, Click here to view the table of contents. Open Library is an open, editable library catalog, building towards a web page for every book ever published.

Diffusion and reactions in fractals and disordered systems by Daniel ben-Avraham, Shlomo Havlin, JanuCambridge University Press edition, Paperback in English - Cited by: A tale of two fractals. This book is devoted to a phenomenon of fractal sets, or simply fractals.

Topics covered includes: Sierpinski gasket, Harmonic functions on Sierpinski gasket, Applications of generalized numerical systems, Apollonian Gasket, Arithmetic properties of Apollonian gaskets, Geometric and group-theoretic approach. Dynamics is the study of objects in motion such as iterative processes; fractals are geometric objects that are static images.

However, it has become apparent that most chaotic regions for dynamical systems are fractals. Hence, in order to understand chaotic behavior completely, people must pause to understand the geometric structure of fractals.

To these we may add major depressive disorder, which is associated with an increase in fractal dimension of EEG recordings (Linkenkaer-Hansen, Monto, et al., ), and attention deficit and hyperactivity disorder, which is associated with a decrease in fractal dimension in cognitive behavioral tasks (Gilden & Hancock, ).

This book provides theoretical concepts and applications of fractals and multifractals to a broad range of audiences from various scientific communities, such as petroleum, chemical, civil and environmental engineering, atmospheric research, and hydrology.

In the first chapter, we introduce fractals. Armin Bunde and Shlomo Havlin, editors, Fractals and Disordered Systems, Springer-Verlag (). Brian Davies, Exploring Chaos: Theory and Experiment, Perseus Books ().

Ferdinand F. Cap. Mathematical Methods in Physics and Engineering with Mathematica, CRC Press, (). V. (B) Irreversible growth models: diffusion-limited aggregation, dendritic growth, Eden model and cluster-cluster aggregation.

Kinetics of clustering. VII. Dynamical properties of fractal structures. VIII. Hierarchical and fractal features of disordered systems.

Book Edition: 1. Modeling and simulating biological and physical systems are nowadays active branches of science. The diversity and complexity of behaviors and patterns present in the natural world have their reciprocity in life systems.

Bifurcations, solitons and fractals are some of these ubiquitous structures that can be indistinctively identified in many models with the most diverse applications, from Cited by: 1. Adaptive systems Applications of fractals, including those in biology, medicine, engineering, economics and sociology Bioinformatics Bio-vibrations, contractions, seisures Health care Cellular automata Coherent structures Diffusion Disordered systems Fractal surfaces and volumes Fractals and chaos in signal processing Growth phenomena.

In mathematics, a fractal is a subset of a Euclidean space for which the Hausdorff dimension strictly exceeds the topological dimension. Fractals tend to appear nearly the same at different levels, as is illustrated here in the successively small magnifications of the Mandelbrot set; because of this, fractals are encountered ubiquitously in nature.

Chaotic Dynamics and Fractals covers the proceedings of the Conference on Chaotic Dynamics, held at the Georgia Institute of Technology. This conference deals with the research area of chaos, dynamical systems, and fractal geometry.

This text is organized into. Chaos theory is a branch of mathematics focusing on the study of chaos—states of dynamical systems whose apparently-random states of disorder and irregularities are often governed by deterministic laws that are highly sensitive to initial conditions.

Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of chaotic complex systems, there are underlying.

First the context: Many natural systems exhibit fractal organization and behavior. A fractal is a branchlike structure. Think of a tree: (1) Trees have many more small branches than large ones.Fractals and chaos books This page discusses some of the books on fractals and chaos that I've found most useful.

M. Barnsley, Fractals Everywhere, Academic Press Inc., This is an excellent text book on fractals. This is probably the best book for learning about the math underpinning fractals. It is also a good source for new fractal types.

Design for Living: The Hidden Nature of Fractals not as something disordered and chance-governed but as something intricately engineered. which — .