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Geophysical Monograph Series

 

Keywords

  • Plasma waves—Congresses
  • Magnetospheres—Congresses
  • Comets—Congresses

Index Terms

  • 7867 Space Plasma Physics: Wave-particle interactions
  • 7875 Space Plasma Physics: Wave-wave interactions
  • 7827 Space Plasma Physics: Kinetic and MHD theory
  • 2772 Magnetospheric Physics: Plasma waves and instabilities

Article

GEOPHYSICAL MONOGRAPH SERIES, VOL. 53, PP. 51-63, 1989

Particle simulations of nonlinear whistler and Alfvén wave instabilities: Amplitude modulation, decay, soliton and inverse cascading

Yoshiharu Omura

Radio Atmospheric Science Center, Kyoto University, Uji, Kyoto, 611, Japan


Hiroshi Matsumoto

Radio Atmospheric Science Center, Kyoto University, Uji, Kyoto, 611, Japan


We present a brief review on previous works and our recent results of particle simulations on nonlinear behavior of large amplitude circularly polarized electromagnetic cyclotron waves propagating parallel to a static magnetic field. Finite amplitude whistler and R-mode Alfvén waves propagating parallel to a static magnetic field are often excited by an electron beam in the magnetosphere and by an ion beam in the cometary environment and in earth's foreshock region, respectively. After saturation of the beam instabilities, whistler mode waves show a smooth inverse cascading process via a modulational instability, while R-mode Alfvén waves show a discrete inverse cascading process via decay instability. It is demonstrated in both cases that a backward travelling wave is excited at the early nonlinear stage followed by an energy exchange between the forward- and backward travelling waves. The energy exchange between the forward and backward travelling waves plays important roles in the smooth inverse cascading process as well as a modulational instability. Depending on parameters, modulational instabilities of finite amplitude whistler mode waves lead to formation of envelope solitons. We also show by simulation that a decay instability controls the nonlinear evolution of R-mode Alfvén waves. Consequences of the wave-wave interactions following the wave-particle interactions are discussed in the context of an energy transfer from resonant beam particles to thermal particles.

Citation: Omura, Y., and H. Matsumoto (1989), Particle simulations of nonlinear whistler and Alfvén wave instabilities: Amplitude modulation, decay, soliton and inverse cascading, in Plasma Waves and Instabilities at Comets and in Magnetospheres, Geophys. Monogr. Ser., vol. 53, edited by B. T. Tsurutani and H. Oya, pp. 51–63, AGU, Washington, D. C., doi:10.1029/GM053p0051.

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