Author: Edwin Atlee JacksonPublisher:
ISBN:
Category : Low temperature plasmas
Languages : en
Pages : 2
Book Description
Nonlinear Oscillations in a Cold Plasma
Author: Edwin Atlee JacksonPublisher:
ISBN:
Category : Low temperature plasmas
Languages : en
Pages : 2
Book Description
Non-linear Electron Oscillations in a Cold Plasma
Author: John Myrick DawsonPublisher:
ISBN:
Category : Low temperature plasmas
Languages : en
Pages : 26
Book Description
Nonlinear Oscillations of a Maxwellian Plasma
Author: Hari K. SenPublisher:
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).
Electrostatic Longitudinal Nonlinear Oscillations of Cold Plasma
Author: Pak Lim ChuPublisher:
ISBN:
Category : Electrostatics
Languages : en
Pages :
Book Description
Nonlinear Theory of Electron Oscillations of a Collisionless Plasma in a Uniform Magnetic Field
Author: H. K. SenPublisher:
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).
The Frequency of Nonlinear Plasma Oscillations
Author: H. DerflerPublisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 28
Book Description
The frequency of plane standing waves of electrons moving through a background of infinitely heavy ions is strictly independent of amplitue as long as the electron velocity is a unique function of position. This result is contrary to those presented in recent publications by S. Amer, J. Electronics and Control, 5:105-13, 158 and L. Gold, J. Electronics and Control, 6:548-549, 1959. The frequencies of spherical and cylindicl plsma oscillations, however, do depend upon the amplitude of the oscillation. AsA RESULT, ANY PHASE RELATIONSHIP BETWEEN ELECTRONS EVENTUALLY WILL BE DESTROYED AND THE ELECTRON VELOCIY BECOMES MULTIVALUED. Therefore steady free oscillations do not persist even in a cold plasma. (Author).
Secular and Non-secular Behavior for the Cold Plasma Equations
Author: David Campbell MontgomeryPublisher:
ISBN:
Category : Low temperature plasmas
Languages : en
Pages : 32
Book Description
Nonlinear Theory of Waves in a Cold Homogeneous Plasma Without Magnetic Field
Author: Richard Henry BallChaos And Structures In Nonlinear Plasmas
Author: C Wendell Horton, JrPublisher: 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.
Analytical Methods in Nonlinear Oscillations
Author: Ebrahim EsmailzadehPublisher: Springer
ISBN: 9402415424
Category : Technology & Engineering
Languages : en
Pages : 296
Book Description
This book covers both classical and modern analytical methods in nonlinear systems. A wide range of applications from fundamental research to engineering problems are addressed. The book contains seven chapters, each with miscellaneous problems and their detailed solutions. More than 100 practice problems are illustrated, which might be useful for students and researchers in the areas of nonlinear oscillations and applied mathematics. With providing real world examples, this book shows the multidisciplinary emergence of nonlinear dynamical systems in a wide range of applications including mechanical and electrical oscillators, micro/nano resonators and sensors, and also modelling of global warming, epidemic diseases, sociology, chemical reactions, biology and ecology.