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Effect of general loss-cone distribution function on kinetic Alfvén wave in multi-ions plasma by kinetic approach

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Abstract

Kinetic Alfven waves with general loss-cone distribution function are investigated in multi-ions (H+, He+ and O+) plasma. Dispersion relation and damping rate for the wave are derived using Vlasov equation. Variations in frequency and damping rate versus \( k_{ \bot } \rho_{i} \) (where k is wave vector perpendicular to ambient magnetic field, ρi is ion Larmor radius and i denotes multi-ions) are investigated. Parameters relevant to plasma sheet boundary layer are used for graphical analysis. It is observed that wave frequency fluctuates with loss-cone distribution indices of ions. In comparison with Maxwellian plasma (J = 0), the wave frequency is enhanced for He+ and O+ and reduced for H+ with the increase in J indices and the wave existence limit shift towards lower \( k_{ \bot } \rho_{i} \) for lighter ions. This may be due to difference in penetration of multi-ions through the cone. H+ and He+ ions show damping at lower kρi only, whereas O+ ions exhibit damping over wide range of \( k_{ \bot } \rho_{{O^{ + } }} \). The damping is reduced with the increase in loss-cone indices for all the ions which signify propagation of wave over long distances towards auroral ionosphere. The applications of these results are in understanding the effect of gyrating multi-ions in transfer of energy and in describing the generation of aurora.

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Acknowledgements

Financial assistance of UGC, New Delhi (to Radha Tamrakar), and DST, New Delhi (to P. Varma), is thankfully acknowledged.

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Correspondence to P. Varma.

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Tamrakar, R., Varma, P. & Tiwari, M.S. Effect of general loss-cone distribution function on kinetic Alfvén wave in multi-ions plasma by kinetic approach. Indian J Phys 93, 529–535 (2019). https://doi.org/10.1007/s12648-018-1294-1

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  • DOI: https://doi.org/10.1007/s12648-018-1294-1

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