The document presents a theoretical study on the amplification of high frequency waves through nonlinear wave-particle interaction with drift wave turbulence in an inhomogeneous plasma. It considers drift wave turbulence, a common feature of inhomogeneous plasma, as the low frequency resonant mode field that is strongly in phase with thermal particles. The plasma particles accelerated by the drift wave turbulence field can transfer energy to high frequency ion acoustic waves through a modulated field. Using a Maxwellian distribution function model for inhomogeneous plasma under the local approximation, the growth rate of ion acoustic waves is estimated using a nonlinear dispersion relation. It is found that amplification of ion acoustic waves is possible through the extraction of energy from drift turbulence.

1. International Journal of Engineering Science Invention
ISSN (Online): 2319 – 6734, ISSN (Print): 2319 – 6726
www.ijesi.org ||Volume 5 Issue 9|| September 2016 || PP. 44-56
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Amplification of High Frequency Wave through Nonlinear Wave
Particle Interaction with Drift Wave Turbulence in an
Inhomogeneous Plasma
Mahinder Singh
Deparment of Mathematics, Namrup College, Namrup, Dirugarh, Assam-786623, India.
Abstract: A theoretical study on the amplification of high frequency wave has been made on the basis of a
nonlinear wave particle interaction with drift eave turbulence in an inhomogeneous plasma. The drift wave
turbulence, which is one of the common features of inhomogeneous plasma, is taken as the low frequency
resonant mode field and is found to be strongly in phase relation with thermal particles. The plasma particles
accelerated by drift wave turbulence field, may transfer energy to high frequency ion acoustic wave through a
modulated field. A Max wellian distribution function model for inhomogeneous plasma has been considered
under the standard local approximation, we have estimated the growth rate of ion acoustic wave, which is
obtained by using the nonlinear dispersion relation. It has been found that amplification of ion acoustic wave is
possible at the expense of drift turbulence energy.
I. Introduction

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II. FORMULATION

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III. Growth Rate

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IV. Discussion

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