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Nonlinear absorption of alfven wave in dissipative plasma

Authors: Gavrikov M.B., Tayurskiy A.A. Published: 10.06.2013
Published in issue: #4(47)/2012  
DOI:

 
Category: Applied Mathematics and Methods of Mathematical Simulation  
Keywords: classic MHD, electromagnetic hydrodynamics (EMHD), wave absorption, temperature relaxation

A method is proposed for studying the absorption of an Alfven wave, traveling in a homogeneous nonisothermal plasma along a constant magnetic field, and the relaxation of the electron and ion temperatures in the A-wave. The absorption of A-wave by the plasma is caused by dissipative effects — magnetic and hydrodynamic viscosities of electrons and ions and their elastic interaction. The method is based on exact solving of equations of two-fluid electromagnetic hydrodynamics of plasma, which for A-wave, as shown in the work, are reduced to a nonlinear system of ordinary differential equations.