Chaos And Structures In Nonlinear Plasmas

By: C. Wendell Horton, Yoshi H. Ichikawa

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Hardcover | 3 July 1996

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Hardcover
356 Pages

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23.5 x 16.51 x 2.54

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This book develops the subject of nonlinear plasma physics from a general physics perspective. It begins with a description of nonlinear oscillations, the parametric instability, the pendulum, and the nonlinear island overlap criterion. The Kolomogorov-Arnold-Moser (KAM) theory is also analyzed. Laboratory visualizations of the KAM theory are presented for experiments in toroidal plasma confinement and rotating fluids. The subjects of transport in ExB flows and geostrophic flows are developed in parallel, stressing the generality of the Charney-Hasegawa-Mima equation. The dual nature of wave turbulence and vortex dynamics is developed for plasmas and geophysical flows. The presentation of the subject of nonlinear maps shows how maps are related to the nonlinear dynamics in plasma physics problems. Numerous space plasma and fusion physics examples are developed throughout the book. The final chapter deals with turbulence theory, renormalized mode coupling equations, and Kolomogorov-type spectra as modified for anisotropic plasmas.

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Chaos Theory Calculus & Mathematical Analysis Science Physics Classical Mathematics Dynamics & Statics Engineering & Technology Mechanical Engineering & Materials Materials Science

Mechanics of Solids Dynamics & Vibration Materials & States of Matter Plasma Physics Nuclear Physics Booktopia Publisher Services World Scientific Publishing

Preface
Nonlinear Oscillations	p. 1
Hamiltonian Dynamics	p. 23
Stochasticity Theory and Applications in Plasmas	p. 51
Phase Space Structures in Hamiltonian Systems	p. 117
Solitons in Plasmas	p. 165
Vortex Structures in Hydrodynamic and Vlasov Systems	p. 223
Statistical Properties and Correlation Functions for Drift Waves	p. 277
Bibliography	p. 321
Index	p. 335
Table of Contents provided by Blackwell. All Rights Reserved.

Chaos And Structures In Nonlinear Plasmas

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Hardcover

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