On Ponderomotive Effects Induced by Alfvén Waves in Inhomogeneous 2.5D MHD Plasmas
Abstract
Where spatial gradients in the amplitude of an Alfvén wave are nonzero, a nonlinear magneticpressure gradient acts upon the medium (commonly referred to as the ponderomotive force). We investigate the nature of such a force in inhomogeneous 2.5D MHD plasmas by analysing source terms in the nonlinear wave equations for the general case of inhomogeneous B and ρ, and consider supporting nonlinear numerical simulations. Our equations indicate that there are two distinct classes of ponderomotive effect induced by Alfvén waves in general 2.5D MHD, each with both a longitudinal and transverse manifestation. i) Geometric effects: Gradients in the pulse geometry relative to the background magnetic field cause the wave to sustain cospatial disturbances, the longitudinal and transverse daughter disturbances  where we report on the transverse disturbance for the first time. ii) ∇( c _{A}) effects: Where a pulse propagates through an inhomogeneous region (where the gradients in the Alfvénspeed profile c _{A} are nonzero), the nonlinear magneticpressure gradient acts to accelerate the plasma. Transverse gradients (phase mixing regions) excite independently propagating fast magnetoacoustic waves (generalising the result of Nakariakov, Roberts, and Murawski ( Solar Phys. 175, 93, 1997)) and longitudinal gradients (longitudinally dispersive regions) perturb along the field (thus creating static disturbances in β=0, and slow waves in β≠0). We additionally demonstrate that mode conversion due the nonlinear Lorentz force is a oneway process, and does not act as a mechanism to nonlinearly generate Alfvén waves due to propagating magnetoacoustic waves. We conclude that these ponderomotive effects are induced by an Alfvén wave propagating in any MHD medium, and have the potential to have significant consequences on the dynamics of energy transport and aspects of dissipation provided the system is sufficiently nonlinear and inhomogeneous.
 Publication:

Solar Physics
 Pub Date:
 November 2013
 DOI:
 10.1007/s1120701302984
 arXiv:
 arXiv:1302.4340
 Bibcode:
 2013SoPh..288..205T
 Keywords:

 Magnetic fields;
 corona;
 Waves;
 Alfvén;
 magnetohydrodynamic;
 propagation;
 Astrophysics  Solar and Stellar Astrophysics
 EPrint:
 Preprint, Accepted for publication in Solar Physics Feb 2013