Bulletin of the American Physical Society
64th Annual Meeting of the APS Division of Plasma Physics
Volume 67, Number 15
Monday–Friday, October 17–21, 2022; Spokane, Washington
Session PO07: Fundamental Plasmas: Waves, Oscillations, Instabilities
2:00 PM–5:00 PM,
Wednesday, October 19, 2022
Room: 401 ABC
Chair: Stephen Vincena, UCLA
Abstract: PO07.00010 : Wave breaking through phase mixing of a variant of Lower Hybrid Modes in cold electron-ion plasma*
3:48 PM–4:00 PM
Presenter:
Mithun Karmakar
(Sardar Vallabhbhai National Institute of Technology, Surat)
Authors:
Mithun Karmakar
(Sardar Vallabhbhai National Institute of Technology, Surat)
Sourav Pramanik
(Department of Applied Mathematics, University of Calcutta, Kolkata 700009, India)
Chandan Maity
(Jadavpur University, Kolkata -700032, India)
lower hybrid modes is investigated in the frequency range Ωci ≪ ω ≪ Ωce ,
where Ωci = eB0 /mi c and Ωce = eB0 /me c are cyclotron frequencies of ions and
electrons, respectively. The dispersion relation shows the existence of a variant
of lower hybrid modes whose nonlinear evolution is studied analytically. Our
interests is in the plasma environments like pulsars where the magnetic field
is so strong that the condition Ωc ≫ 1 holds and also in the weak magnetic
field limit (for instance, ionosphere) where Ω c ≪ 1 holds (Ω c = Ωce /ωpe ). In
the range Ωci ≪ ω ≪ Ωce it is justified to treat the ions as un-magnetized and
treat the contribution of electron inertia in the x-component to be
negligible. The dispersion relation for such mode can be written as ω2 = ω2pi / (1 + Ω2pe / Ω2ce )
(where ωpe = 4πn0 e2 /me and ωpi = 4πn0 e2/mi ). We employ perturbation
expansion technique to investigate the space time evolution of such mode in
the frequency range considered. Such nonlinear analysis shows that the excited
wave breaks at arbitrarily small amplitudes via the process of phase mixing. An
estimate of the phase mixing time is provided which is found to increase as we
increase the strength of the applied magnetic field. The results are of relevance
to the field of space science and laboratory experiment.
*Science & Engineering Research Board(SERB), Department of Science and Technology, India
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