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Growth Patterns in Physical Sciences and Biology

  • Book
  • © 1993

Overview

Editors:
  1. Juan Manuel Garcia-Ruiz

    1. CSIC-Universidad de Granada, Granada, Spain

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  2. Enrique Louis

    1. Universidad de Alicante, Alicante, Spain

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  3. Paul Meakin

    1. University of Oslo, Oslo, Norway

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  4. Leonard M. Sander

    1. University of Michigan, Ann Arbor, USA

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Part of the book series: NATO Science Series B: (NSSB, volume 304)

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Table of contents (44 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Cell Colones

    1. Fractal Growth and Morphological Change in Bacterial Colony Formation

      • Mitsugu Matsushita, Masahiro Ohgiwari, Tohey Matsuyama
      Pages 1-9

    2. Interfacial Pattern Formation in Biological Systems: Preliminary Observations During Growth of Bacterial Colonies

      • E. Ben-Jacob, H. Shmueli, O. Shochet, D. Weiss
      Pages 11-19

    3. Amoebae Aggregation in Dictyoselium Discoideum

      • Herbert Levine, William Reynolds
      Pages 21-27

    4. The Fractal Nature of Common Patterns

      • Tamás Vicsek
      Pages 29-36

  3. Surface and Interfaces

    1. Study of Self-Affine Fractal Surfaces with STM

      • J. M. Gómez-Rodríguez, A. Asenjo, A. M. Baró
      Pages 37-44

    2. Dynamic Scaling in Surface Growth Phenomena

      • Fereydoon Family
      Pages 45-55

    3. MBE Growth and Surface Diffusion

      • David A. Kessler, Herbert Levine, Leonard M. Sander
      Pages 57-63

    4. Growth in Systems with Quenched Disorder

      • Mark O. Robbins, Marek Cieplak, Hong Ji, Belita Koiller, Nicos Martys
      Pages 65-75

    5. Kinetic Roughening with Algebraically Distributed Noise Amplitudes or Waiting Times

      • János Kertész
      Pages 77-84

    6. Anomalous Surface Roughening: Experiment and Models

      • S. Havlin, A.-L. Barabási, S. V. Buldyrev, C. K. Peng, M. Schwartz, H. E. Stanley et al.
      Pages 85-98

    7. Waiting-Time Formulation of Surface Growth and Mapping to Directed Polymers in a Random Medium

      • Lei-Han Tang
      Pages 99-108

    8. Scaling Far from Thermal Equilibrium

      • H. G. E. Hentschel
      Pages 109-117

    9. Discrete Potential Flow Simulation of a Premixed Flame Front

      • J. C. Antoranz, A. López-Martín, J. L. Castillo, P. L. García-Ybarra
      Pages 119-126

    10. Fractal Landscapes in Physics and Biology

      • H. E. Stanley, S. V. Buldyrev, F. Caserta, G. Daccord, W. Eldred, A. Goldberger et al.
      Pages 127-136

    11. Interface Kinetics and Oscillatory Growth in Directional Solidification of Binary Mixtures

      • B. Caroli, C. Caroli
      Pages 137-141

    12. Locally Interacting Cell Systems as Models for Carcinogenesis

      • Petre Tautu
      Pages 143-152

  4. Difussion Limited Aggregation, Viscous Fingering and Future

    1. Ionic Concentration and Electric Field in Fractal Electrodeposition

      • M. Rosso, V. Fleury, J.-N. Chazalviel, B. Sapoval
      Pages 153-161

    2. Properties of the Morphologies Envelope in a Diffusion Limited Growth

      • O. Shochet, R. Kupferman, E. Ben-Jacob
      Pages 163-171

    3. Growth Patterns in Zinc Electrodeposition

      • Francesc Sagués, Francesc Mas, Josep Claret, Pedro P. Trigueros, Laura López-Tomàs
      Pages 173-182
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Keywords

About this book

During the past decade interest in the formation of complex disorderly patterns far from equilibrium has grown rapidly. This interest has been stim­ ulated by the development of new approaches (based primarily on fractal geometry) to the quantitative description of complex structures, increased understanding of non-linear phenomena and the introduction of a variety of models (such as the diffusion-limited aggregation model) that provide paradigms for non-equilibrium growth phenomena. Advances in computer technology have played a crucial role in both the experimental and theoret­ ical aspects of this enterprise. Substantial progress has been made towards the development of comprehensive understanding of non-equilibrium growth phenomena but most of our current understanding is based on simple com­ puter models. Pattern formation processes are important in almost all areas of science and technology, and, clearly, pattern growth pervades biology. Very often remarkably similar patterns are found in quite diverse systems. In some case (dielectric breakdown, electrodeposition, fluid-fluid displacement in porous media, dissolution patterns and random dendritic growth for example) the underlying causes of this similarity is quite well understood. In other cases (vascular trees, nerve cells and river networks for example) we do not yet know if a fundamental relationship exists between the mechanisms leading the formation of these structures.

Editors and Affiliations

  • CSIC-Universidad de Granada, Granada, Spain

    Juan Manuel Garcia-Ruiz

  • Universidad de Alicante, Alicante, Spain

    Enrique Louis

  • University of Oslo, Oslo, Norway

    Paul Meakin

  • University of Michigan, Ann Arbor, USA

    Leonard M. Sander

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