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Numerical simulations to study whistler turbulence by kinetic Alfvén wave

Published online by Cambridge University Press:  13 April 2011

R. P. SHARMA ,
K. BATRA  and
N. K. DWIVEDI
R. P. SHARMA
Affiliation:
Plasma Simulation Laboratory, Centre for Energy Studies, Indian Institute of Technology, Delhi-110016, India (rpsharma@ces.iitd.ac.in, navin.dwivedi@gmail.com)
K. BATRA
Affiliation:
Plasma Simulation Laboratory, Centre for Energy Studies, Indian Institute of Technology, Delhi-110016, India (rpsharma@ces.iitd.ac.in, navin.dwivedi@gmail.com)
N. K. DWIVEDI
Affiliation:
Plasma Simulation Laboratory, Centre for Energy Studies, Indian Institute of Technology, Delhi-110016, India (rpsharma@ces.iitd.ac.in, navin.dwivedi@gmail.com)
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Abstract

This work presents the model equations governing the excitation of weak whistler by a stronger Kinetic Alfvén wave (KAW) in the plasma having β value (β ≫ me/mi, where beta is the ratio of the ion sound speed to the Alfvén speed), applicable to magnetotail in Earth's magnetosphere, when the ponderomotive nonlinearity is incorporated in the KAW dynamics. Numerical solution of the model equations has been obtained when the incident pump KAW is having a small perturbation. Energy exchange between main KAW and perturbation and the resulting localized structures of the KAW have been studied. A weak whistler signal propagating in these localized structures is amplified and leads to the development of envelope solitons. Our result reveals that the amplified (excited) whistler has an electric field power spectrum that is steeper than k−8/3. This result is consistent with recent observations by the Cluster spacecraft Eastwood et al. (Phys. Rev. Lett., vol. 102, 2009, 035001) in the magnetotail region of the Earth's magnetosphere.

Type
Papers
Information
Journal of Plasma Physics , Volume 77 , Issue 6 , December 2011 , pp. 715 - 724
Copyright
Copyright © Cambridge University Press 2011

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