scholarly journals Fluid models for kinetic effects on coherent nonlinear Alfvén waves. II. Numerical solutions

1997 ◽  
Vol 4 (5) ◽  
pp. 1257-1285 ◽  
Author(s):  
M. V. Medvedev ◽  
V. I. Shevchenko ◽  
P. H. Diamond ◽  
V. L. Galinsky
1993 ◽  
Vol 5 (4) ◽  
pp. 1257-1262 ◽  
Author(s):  
X. D. Zhang ◽  
Y. Z. Zhang ◽  
S. M. Mahajan

2009 ◽  
Vol 27 (3) ◽  
pp. 1027-1033 ◽  
Author(s):  
J. O. Hall ◽  
G. Stenberg ◽  
A. I. Eriksson ◽  
M. André

Abstract. We investigate the possibility that lower-hybrid solitary structures (LHSS), which are frequently observed in the Earth's ionosphere and magnetosphere, are formed as a result of a modulational interaction between lower-hybrid and dispersive Alfvén waves of initially small amplitude. A large amplitude lower-hybrid pump wave can excite density structures with length scales transverse to the geomagnetic field of the order of the ion gyroradius via a modulational instability. The structure formation in the nonlinear stage of the instability is investigated by numerical solutions of the governing equations, using plasma parameters relevant for LHSS observations in the upper ionosphere and in the magnetosphere. The numerical solutions reveal that the lower-hybrid waves become self-localized inside cylindrically symmetric (with respect to the ambient magnetic field) density cavities, in qualitative agreement with observations. Our model includes thermal electron effects but shows no stabilization at the ion sound gyroradius, suggesting that any preference of observed LHSS for that perpendicular scale likely is due to processes arresting the cavity collapse.


2014 ◽  
Vol 21 (1) ◽  
pp. 339-346 ◽  
Author(s):  
Y. Nariyuki ◽  
T. Umeda ◽  
T. K. Suzuki ◽  
T. Hada

Abstract. The numerical simulation of the nonlinear evolution of the parallel propagating Alfvén waves in a radially expanding plasma is performed by using a kinetic-fluid model (the Vlasov–MHD model). In our study, both the nonlinear evolution of the Alfvén waves and the radial evolution of the velocity distribution function (VDF) are treated simultaneously. On the other hand, important ion kinetic effects such as ion cyclotron damping and instabilities driven by the non-equilibrium ion velocity distributions are not included in the present model. The results indicate that the steepened Alfvén wave packets outwardly accelerate ions, which can be observed as the beam components in the interplanetary space. The energy of imposed Alfvén waves is converted into the longitudinal fluctuations by the nonlinear steepening and the nonlinear Landau damping. The wave shoaling due to the inhomogeneity of the phase velocity is also observed.


1992 ◽  
Author(s):  
X.D. Zhang ◽  
Y.Z. Zhang ◽  
S.M. Mahajan

2003 ◽  
Vol 30 (6) ◽  
Author(s):  
C. C. Chaston ◽  
J. W. Bonnell ◽  
C. W. Carlson ◽  
J. P. McFadden ◽  
R. J. Strangeway ◽  
...  

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