NDLI: Evolution of alfvén waves in a stochastic magnetic field-application of khasminskii's theorem

Content Provider	IEEE Xplore Digital Library
Author	Prahalad, Y. S. Thirtha, D. Govinda Mittal, M. L.
Copyright Year	1973
Description	The evolution of Alfvén waves in the presence of a spatially uniform but temporally stochastic magnetic field is considered. Using Stratanovich's method, it is shown that an Alfvén wave is almost surely amplified, if the power spectral density of the magnetic field at twice the wave frequency exceeds a critical value determined by the conductivity of the plasma. Subsequently, a more rigorous and detailed analysis is made using Khasminskii's Theorem. The evolution of the first and the second moments is analyzed. It is shown that the mean wave is actually damped and the second moment is the one which is amplified. Further, it is found that the wave suffers a frequency renormalization. This frequency renormalization is a totally new effect, arising from the more rigorous analysis. The Markovian limit is taken in a more reasonable way. The results reported in the paper are much stronger than the earlier analysis.
Sponsorship	IEEE Nuclear and Plasma Sciences Society
Starting Page	22
Ending Page	25
Page Count	4
File Size	890340
File Format	PDF
ISSN	00933813
Volume Number	8
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1980-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stochastic processes Magnetic fields Frequency Plasma waves Fluctuations Magnetic analysis Conductivity Magnetohydrodynamics Plasma density Laboratories
Content Type	Text
Resource Type	Article
Subject	Nuclear and High Energy Physics Condensed Matter Physics

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