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Fractals’ Physical Origin and Properties

  • Book
  • © 1989

Overview

Editors:
  1. Luciano Pietronero

    1. University of Rome “La Sapienza”, Rome, Italy

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Part of the book series: Ettore Majorana International Science Series (EMISS)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-viii
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  3. Fractal Properties of Critical Fluctuations and Polymers

    1. Front Matter

      Pages 81-81
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    2. Fractal Critical Phenomena in Two Dimensions and Conformal Invariance

      • Bertrand Duplantier
      Pages 83-121

    3. Fractal Structure of Ising and Potts Clusters: Static and Dynamic Approach

      • Antonio Coniglio
      Pages 123-133

  4. Fractal Growth Models: General Features

    1. Front Matter

      Pages 135-135
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    2. Diffusion-Limited Aggregation: Recent Developments

      • Paul Meakin, Susan Tolman
      Pages 137-168

    3. New Theoretical Methods for Fractal Growth

      • L. Pietronero, A. Erzan, C. Evertsz
      Pages 169-191

    4. Continuum Description of Active Zones

      • Zoltán Rácz
      Pages 193-203

    5. Multifractality, Scaling, and Diffusive Growth

      • Thomas C. Halsey
      Pages 205-216

    6. Is There a Phase Transition in the Multifractal Spectrum of DLA?

      • Jysoo Lee, Preben Alstrøm, H. Eugene Stanley
      Pages 217-226

  5. Application of Fractal Growth Models to Physical Phenomena

    1. Front Matter

      Pages 227-227
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    2. Fractals and Patterns in Electrodepostion

      • Leonard M. Sander, David G. Grier
      Pages 229-237

    3. On the Possible Application of Fractal Scaling Ideas in Dendritic Growth

      • R. C. Ball
      Pages 239-242

    4. Realistic Models of Dielectric Breakdown

      • H. J. Wiesmann
      Pages 243-257

    5. Cluster-Cluster Aggregation with Dipole-Dipole Interactions

      • R. Botet, G. Helgesen, A. T. Skjeltorp, P. M. Mors, R. Jullien
      Pages 259-267

    6. Shapes of Deterministic Cracks Obtained under Shear

      • H. J. Herrmann
      Pages 269-276
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Keywords

About this book

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.

Reviews

From Book News, Inc.
Proceedings of the Special Seminar on Fractals, held October 1988, in Erice, Italy. Most of the contributions are theoretical, but some experimental work is also included. They discuss multifractals and turbulence, fractal properties of critical fluctuations and polymers, general features of fractal growth models, the application of those models to physical phenomena, diffusion and vibrations on fractals, diffusion fronts and invasion percolation, random surfaces, and large scale distribution of matter in the universe.
Annotation copyright Book News, Inc. Portland, Or.

Editors and Affiliations

  • University of Rome “La Sapienza”, Rome, Italy

    Luciano Pietronero

Bibliographic Information

  • Book Title: Fractals’ Physical Origin and Properties

  • Editors: Luciano Pietronero

  • Series Title: Ettore Majorana International Science Series

  • DOI: https://doi.org/10.1007/978-1-4899-3499-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1989

  • Hardcover ISBN: 978-0-306-43413-6Published: 01 June 1990

  • Softcover ISBN: 978-1-4899-3501-4Published: 09 December 2013

  • eBook ISBN: 978-1-4899-3499-4Published: 19 December 2013

  • Edition Number: 1

  • Number of Pages: VIII, 370

  • Topics: Biomedicine general

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