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Autosolitons : A New Approach to Problems of Self-Organization and Turbulence - Boris S. Kerner


A New Approach to Problems of Self-Organization and Turbulence

Hardcover Published: 31st May 1994
ISBN: 9780792328162
Number Of Pages: 672

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This monograph is devoted to an entirely new branch of nonlinear physics - solitary intrinsic states, or autosolitons, which form in a broad class of physical, chemical and biological dissipative systems. Autosolitons are often observed as highly nonequilibrium regions in slightly nonequilibrium systems, in many ways resembling ball lightning which occurs in the atmosphere.
A new approach to problems of self-organization and turbulence is developed, treating these phenomena as a result of spontaneous formation and subsequent evolution of autosolitons. Scenarios of self-organization involve sophisticated interactions between autosolitons, whereas turbulence is regarded as a pattern of autosolitons which appear and disappear at random in different parts of the system.
This monograph is the first attempt to provide a comprehensive summary of the theory of autosolitons as developed by the authors over many years of research. The contents are divided into three main parts. Part I deals with the physics of autosolitons and phenomena of self-organization in active systems. Topics covered include ball lightning in semiconductors and gases, regions of high or low electron temperature in heated plasmas, hot spots in semiconductors and semiconductor structures, etc. Part II, comprising eight chapters, deals with the theory of autosolitons. Part III has six chapters and covers topics relating to self-organization and turbulence in active distributed media. This authoritative volume ends with two appendices, a substantial bibliography and an index.
Audience: Researchers and graduate students whose work involves the physics of nonequilibrium media, semiconductors, plasmas and self-organization.

Introductionp. 1
"Ball Lightning" in Semiconductors and Gasesp. 13
Regions of High or Low Electron Temperature in Heated Semiconductor and Gas Plasmasp. 41
Traveling Pulses and Other Autowaves in Excitable Mediap. 49
Static, Traveling, and Pulsating Autosolitonsp. 58
Current Filaments in Systems with Single-Valued Voltage-Current Characteristicp. 75
Static and Traveling Strata in Solids and Gasesp. 94
Hot Spots in Semiconductors and Semiconductor Structuresp. 106
Autosolitons In Other Active Mediap. 110
Classification of Active Distributed Mediap. 122
Classification of Autosolitons and Phenomena of Self-Organizationp. 149
Static Autosolitons in One-Dimensional Media (KN and [actual symbol not reproducible])p. 155
Stability and Evolution of Static Autosolitons in One-Dimensional Media (KN and [actual symbol not reproducible])p. 203
Static Autosolitons in Two and Three-Dimensional Media (KN and [actual symbol not reproducible])p. 250
Theory of Strata: Interacting One-Dimensional Autosolitons (KN and [actual symbol not reproducible])p. 318
Spike Static Autosolitons and Strata (K[Lambda] and KV-Systems)p. 384
Pulsating Autosolitons (K[Omega]-Systems)p. 441
Traveling Autosolitons and Autowaves (K[Omega] and [Omega]-Systems)p. 489
Autosolitons in Bistable (Trigger) Systemsp. 508
Structures Near Stratification Point of Homogeneous State of the Systemp. 523
Effects Definitive for Rearrangement of Autosolitons and Strata (K-Systems)p. 540
Scenarios of Self-Organization in Ideally Homogeneous One-Dimensional Systemsp. 552
Scenarios of Self-Organization in Real One-Dimensional Systemsp. 558
Self-Organization in Two and Three-Dimensional Systemsp. 570
Turbulence in Active Systemsp. 581
Conclusionp. 592
Appendix 1. Asymptotic Theory of Static Autosolitons and Stratap. 594
Appendix 2. Analytical Investigation of Autosolitons and Strata in an Axiomatic Model of Active Medium with Diffusionp. 618
Referencesp. 647
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792328162
ISBN-10: 0792328167
Series: Studies in Cognitive Systems
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 672
Published: 31st May 1994
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 3.66
Weight (kg): 1.14

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