Title: Self-organization of parallel propagating Alfven wave turbulence
Abstract: Nonlinear evolution of Alfven wave turbulence is discussed within the context of the derivative nonlinear Schroedinger equation (DNLS), a subset of the hall-MHD equation set, which includes quasi-parallel propagating right- and left-hand polarized Alfven wave modes. Via numerical time integration of the equation under periodic boundary conditions, we discuss self-organization of solitary waves, evolution of tri-coherence, synchronization of the wave phases, among others. Finite amplitude magnetohydrodynamics (MHD) waves evolve nonlinearly via wave-particle and wave-wave interactions. Nonlinear evolution of the waves has been an attracting subject for nonlinear wave research. Also, these waves are considered as an essential ingredient for Fermi acceleration of cosmic rays. Among various nonlinear processes triggered by the presence of the finite amplitude Alfven waves, we concentrate in this presentation on nonlinear evolution and self-organization of Alfven waves caused by self-coupling among Alfven waves which are parallel and uni-directional. By using this particularity, the hall-MHD equation set can be reduced using the method of averaging to yield the so-called DNLS equation,
Publication Year: 2005
Publication Date: 2005-01-01
Language: en
Type: article
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