Wave Motion in a Plasma Based on a Fokker-Planck Equation

by Alan V. Oppenheim

Excerpt from Wave Motion in a Plasma Based on a Fokker-Planck EquationWe introduce an isotropic approximation to the fokker-planck collision operators in Boltzmann's equations in order to study small amplitude wave motion in a fully ionized, neutral, two component plasma in a steady, applied magnetic field. With this model we find Larmor resonance modes which can not be found from theories based on the relaxation model of Bhatnagar, Gross and Krook[1] (the Krook model). We remark that so far the Krook model is the only other collision model from which one computes Larmor resonances. Moreover, these modes persist in a certain non-uniform collisionless limit.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

103 pages, Paperback

Published April 23, 2020

About the author

Alan Victor Oppenheim is a professor of engineering at MIT's Department of Electrical Engineering and Computer Science. He is also a principal investigator in MIT's Research Laboratory of Electronics (RLE), at the Digital Signal Processing Group.

His research interests are in the general area of signal processing and its applications. He is co-author of the widely used textbooks Discrete-Time Signal Processing and Signals and Systems. He is also the editor of several advanced books on signal processing.