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Nonlinear Oscillations of a Maxwellian Plasma

Nonlinear Oscillations of a Maxwellian Plasma PDF Author: Hari K. Sen
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 18

Book Description
Exact non-linear wave solutions are obtained for waves stationary in a uniformly moving frame for the case of a Maxwellian electron plasma in a uniform ion background. It is found that there are no waves below a minimum wave velocity; anharmonic waves develop above the critical velocity, but only up to a maximum amplitude, depending on the wave velocity; frequency amplitude relations indicate that small amplitude linearized theory is not a good approximation, except for large wave velocities; and in the limit of zero amplitude, twice the frequency of oscillation given by linearized theory for any wave velocity is obtained. (Author).

Nonlinear Oscillations of a Maxwellian Plasma

Nonlinear Oscillations of a Maxwellian Plasma PDF Author: Hari K. Sen
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 18

Book Description
Exact non-linear wave solutions are obtained for waves stationary in a uniformly moving frame for the case of a Maxwellian electron plasma in a uniform ion background. It is found that there are no waves below a minimum wave velocity; anharmonic waves develop above the critical velocity, but only up to a maximum amplitude, depending on the wave velocity; frequency amplitude relations indicate that small amplitude linearized theory is not a good approximation, except for large wave velocities; and in the limit of zero amplitude, twice the frequency of oscillation given by linearized theory for any wave velocity is obtained. (Author).

Nonlinear Oscillations in a Maxwellian Plasma

Nonlinear Oscillations in a Maxwellian Plasma PDF Author: Stephen p Gary
Publisher:
ISBN:
Category : Maxwell equations
Languages : en
Pages :

Book Description


Nonlinear Oscillations of a Maxwellian Plasma

Nonlinear Oscillations of a Maxwellian Plasma PDF Author: Hari K. Sen
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 0

Book Description
Exact non-linear wave solutions are obtained for waves stationary in a uniformly moving frame for the case of a Maxwellian electron plasma in a uniform ion background. It is found that there are no waves below a minimum wave velocity; anharmonic waves develop above the critical velocity, but only up to a maximum amplitude, depending on the wave velocity; frequency amplitude relations indicate that small amplitude linearized theory is not a good approximation, except for large wave velocities; and in the limit of zero amplitude, twice the frequency of oscillation given by linearized theory for any wave velocity is obtained. (Author)

Nonlinear Theory of Electron Oscillations of a Collisionless Plasma in a Uniform Magnetic Field

Nonlinear Theory of Electron Oscillations of a Collisionless Plasma in a Uniform Magnetic Field PDF Author: H. K. Sen
Publisher:
ISBN:
Category : Doppler effect
Languages : en
Pages : 60

Book Description
Possibility of excitation of finite amplitude longitudinal waves in a collisionless and cold plasma in the presence of uniform magnetic field is demonstrated. Such waves are found to be anharmonic in shape, in contrast to the usual harmonic, that is, sinusoidal waves of the linear theory. These nonlinear plasma waves arise as a result of nonlinear motion and the dispersive nature of plasma media. The two competing processes, nonlinearity and dispersion in a moving plasma medium strike a balance to produce a quasi-steady state which can support finite amplitude waves. These waves are associated with large amplitude oscillating electric fields which may be responsible for coherent radio-to-microwave radiation from coronal plasma and particle acceleration during solar flares. The estimate of sporadic electromagnetic and particulate radiation is important for application to the solar flare patrol and the Air Force Communications System. (Author).

Chaos And Structures In Nonlinear Plasmas

Chaos And Structures In Nonlinear Plasmas PDF Author: C Wendell Horton, Jr
Publisher: World Scientific
ISBN: 9814499048
Category : Science
Languages : en
Pages : 355

Book Description
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.

Exact Non-linear Plasma Oscillations

Exact Non-linear Plasma Oscillations PDF Author: Ira B. Bernstein
Publisher:
ISBN:
Category : Oscillations
Languages : en
Pages : 28

Book Description


Methods in Nonlinear Plasma Theory

Methods in Nonlinear Plasma Theory PDF Author: Ronald Davidson
Publisher: Elsevier
ISBN: 0323153380
Category : Science
Languages : en
Pages : 377

Book Description
Methods in Nonlinear Plasma Theory is from lectures given in graduate classes in both University of Maryland and University of California at Berkeley. To be able to understand fully the contents in this book, the reader is assumed to be a graduate student with background of classical physics and linear plasma waves and instabilities. This text is divided into two major parts. Part I deals with the coherent nonlinear phenomena, while Part II discusses the turbulent nonlinear phenomena. Six chapters comprise Part I, where basic equations and methods are described and discussed. Some of these methods are Vlasov-Maxwell equations and Korteweg-de Vries equation. Part II meanwhile has eight chapters that discuss frameworks and theories for weak plasma turbulence. Specifically, the weak turbulence theory is presented as it is applied to electromagnetic wave-particle interactions, nonlinear wave-wave interactions, and nonlinear wave-particle interactions. This book is a useful reference for students and researchers in the study of classical physics and plasma theory.

Nonlinear Oscillations in a Cold Plasma

Nonlinear Oscillations in a Cold Plasma PDF Author: Edwin Atlee Jackson
Publisher:
ISBN:
Category : Low temperature plasmas
Languages : en
Pages : 2

Book Description


Waves and Oscillations in Plasmas

Waves and Oscillations in Plasmas PDF Author: Hans Laszlo Pecseli
Publisher: Taylor & Francis
ISBN: 1439878498
Category : Science
Languages : en
Pages : 573

Book Description
Winner of an Outstanding Academic Title Award from CHOICE Magazine The result of more than 15 years of lectures in plasma sciences presented at universities in Denmark, Norway, and the United States, Waves and Oscillations in Plasmas addresses central issues in modern plasma sciences. The book covers fluid models as well as kinetic plasma mode

Nonlinear Plasma Oscillations

Nonlinear Plasma Oscillations PDF Author: Henry William Wyld
Publisher:
ISBN:
Category : Plasma (Ionized gases)
Languages : en
Pages : 108

Book Description