Wave Physics

Author: Stephen Nettel
Publisher: Springer Science & Business Media
ISBN: 3662053179
Format: PDF
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This textbook gives a detailed explanation of waves and oscillations in classical physics. These classical phenomena are dealt with at a more advanced level than is customary for second-year courses. All aspects of classical wave physics are presented, including the mathematical and physical basis needed for extended understanding. Finally several chapters are devoted to important topics in current wave physics. Special attention is given to nonlinear waves, solitons, chaotic behavior and associated phenomena. The new edition contains improvements such as full development of Greens functions, a broadening of the treatment of wave mechanics and a closer integration with classical mechanics, plus more examples and problems.

Chaos and Structures in Nonlinear Plasmas

Author: W Horton
Publisher: World Scientific
ISBN: 9814499048
Format: PDF, Docs
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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 analyzed. Laboratory visualizations of the KAM theory are presented for experiments in toroidal plasma confinement and rotating fluids. The subjects of transport in E x B 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. Contents:Nonlinear OscillationsHamiltonian DynamicsStochasticity Theory and Applications in PlasmasPhase Space Structures in Hamiltonian SystemsSolitons in PlasmasVortex Structures in Hydrodynamic and Vlasov SystemsStatistical Properties and Correlation Functions for Drift Waves Readership: Postdoctoral students, research scientists and professors in plasma physics & chaos, nonlinear science and dynamical systems. keywords:Nonlinear Oscillations;Alfven Solitons ;Turbulent Transport ;Drift Waves;Rossby Waves;Stochastic Magnetic Fields;Chaos in Plasmas;Structures in Plasmas;KAM Theory;Adiabatic Invariants;Solitons;Standar Maps

Nonlinear Physics for Beginners

Author: Lui Lam
Publisher: World Scientific
ISBN: 9789810201418
Format: PDF, ePub, Mobi
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Almost all real systems are nonlinear. For a nonlinear system the superposition principle breaks down: The system's response is not proportional to the stimulus it receives; the whole is more than the sum of its parts. The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems. In Part II, 14 reviews and essays by pioneers, as well as 10 research articles are reprinted. Part III collects 17 students projects, with computer algorithms for simulation models included.The book can be used for self-study, as a textbook for a one-semester course, or as supplement to other courses in linear or nonlinear systems. The reader should have some knowledge in introductory college physics. No mathematics beyond calculus and no computer literacy are assumed.

Vibrations and Waves in Physics

Author: Iain G. Main
Publisher: Cambridge University Press
ISBN: 9780521447010
Format: PDF
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This book is designed as a text for an undergraduate course on vibrations and waves. The overall objectives of the book are to lead the student through the basic physical concepts of vibrations and waves and to demonstrate how these concepts unify a wide variety of familiar physics. This new edition contains an elementary, descriptive introduction to the important ideas of chaos. The author has also taken pains to update the applications. As with previous editions, the book contains numerous problems with hints and numerical solutions.