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Self-Organization

Autowaves and Structures Far from Equilibrium

  • Conference proceedings
  • © 1984

Overview

Editors:
  1. V. I. Krinsky

    1. Institute of Biological Physics, USSR Academy of Sciences, Pushchino, USSR

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Part of the book series: Springer Series in Synergetics (SSSYN, volume 28)

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Table of contents (45 papers)

  1. Front Matter

    Pages I-XI
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  2. Introduction

    1. Front Matter

      Pages 1-1
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    2. Synergetics - Some Basic Concepts and Recent Results

      • H. Haken
      Pages 2-8

    3. Autowaves: Results, Problems, Outlooks

      • V. I. Krinsky
      Pages 9-19

  3. Self-Organization in Physical Systems: Autowaves and Structures Far from Equilibrium

    1. Front Matter

      Pages 21-21
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    2. The Microscopic Theory of Irreversible Processes

      • I. Prigogine
      Pages 22-28

    3. Coherent Structures in Plasmas

      • B. B. Kadomtsev
      Pages 29-32

    4. Structures in the Universe

      • Ya. B. Zeldovich
      Pages 33-37

    5. Interfacial Instability in Fluid Layers Under Thermal Constraints

      • Manuel G. Velarde
      Pages 38-48

    6. Laser-Induced Autowave Processes

      • F. V. Bunkin, N. A. Kirichenko, B. S. Luk’yanchuk
      Pages 49-54

    7. Completely Integrable Models in the Domain Walls and Interphases Theories

      • V. M. Eleonskii, N. E. Kulagin, L. M. Lerman, Ja. L. Umanskii
      Pages 55-58

    8. The Autowave Phenomena on the Surface of Crystallizing Solution

      • V. N. Buravtsev, A. S. Botin, B. A. Malomed
      Pages 59-63

    9. Autowave Processes in Semiconductors with the Temperature-Electric Instability

      • Yu. V. Gulyaev, Yu. A. Rzhanov, Yu. I. Balkarei, L. L. Golik, M. I. Elinson, V. E. Pakseev
      Pages 64-67

    10. Thermal Wave Propagation in a Superconducting System as an Autowave Process

      • Yu. M. Lvovsky
      Pages 68-73

    11. Theory of Development of Large-Scale Structures in Hydrodynamical Turbulence

      • R. Z. Sagdeev, S. S. Moiseev, A. V. Tur, G. A. Khomenko, V. V. Yanovsky
      Pages 74-76

    12. The Role of Fluctuations for Self-Organization in Physical Systems (an Exemplary Case of Transition from a Laminar to Turbulent Flow)

      • Yu. L. Klimontovich
      Pages 77-80

    13. Stochastization of Nonstationary Structures in a Distributed Oscillator with Delay

      • V. A. Kats, D. I. Trubetskov
      Pages 81-86

    14. Experimental Study of Rossby Solitons and Dissipative Structures in Geostrophical Streams

      • S. V. Antipov, M. V. Nezlin, V. K. Rodionov, E. N. Snezhkin, A. S. Trubnikov
      Pages 87-90

  4. Mathematical Backgrounds of Autowaves

    1. Front Matter

      Pages 91-91
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    2. A Theory of Spiral Waves in Active Media

      • A. S. Mikhailov
      Pages 92-97
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Keywords

About this book

According to its definition, Synergetics is concerned with systems that produce macroscopic spatial, temporal, or functional structures. Autowaves are·a specific, yet very important, case of spatio-temporal structures. The term "autowave" was coined in the Soviet Union in analogy to the term "auto-oscillator". This is - perhaps too literal - translation of the Russian word "avto-ostsillyatory" (= self­ oscillator) which in its proper translation means "self-sustained oscillator". These are oscillators, e. g. , clocks, whose internal energy dissipation is compensa­ ted by a (more or less) continuous power input. Simi larly, the term "autowaves" de­ notes propagation effects - including waves - in active media, which provide spa­ tially distributed energy sources and thus may compensate dissipation. An example which is now famous is represented by spiral or concentric waves in a chemically active medium, undergoing the Belousov-Zhabotinsky reaction. This book provides the reader with numerous further examples from physics, chem­ istry, and biology - e. g. , autowaves of the heart. While the Belousov-Zhabotinsky reaction is now widely known, a number of very important results obtained in the Soviet Union are perhaps less well known. I am particularly glad that this book may help to make readers outside the Soviet Union acquainted with these important exper­ imental and theoretical findings which are presented in a way which elucidates the common principles underlying this kind of propagation effects. Professor V.

Editors and Affiliations

  • Institute of Biological Physics, USSR Academy of Sciences, Pushchino, USSR

    V. I. Krinsky

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