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A weakly nonlinear Alfvénic pulse in a transversely inhomogeneous medium

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Tsiklauri, D., Arber, T. D. and Nakariakov, V. M. (Valery M.). (2001) A weakly nonlinear Alfvénic pulse in a transversely inhomogeneous medium. Astronomy & Astrophysics, Vol.379 (No.3). pp. 1098-1105. ISSN 0004-6361

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Official URL: http://dx.doi.org/10.1051/0004-6361:20011415

Abstract

The interaction of a weakly nonlinear Alfvénic pulse with an Alfvén speed inhomogeneity in the direction perpendicular to the magnetic field is investigated. Identical to the phase mixing experienced by a harmonic Alfvén wave, sharp transverse gradients are generated in the pulse by the inhomogeneity. In the initial stage of the evolution of an initially plane Alfvénic pulse, the transverse gradients efficiently generate transversely propagating fast magnetoacoustic waves. However, high resolution full MHD numerical simulations of the developed stage of the pulse evolution show that the generation saturates due to destructive wave interference. It is shown that the weakly non-linear description of the generated fast magnetoacoustic wave is well described by the driven wave equation proposed in Nakariakov et al. (1997), and a simple numerical code (2D MacCromack), which solves it with minimal CPU resources, produces identical results to those obtained from the full MHD code (Lare2d, Arber et al. 2001). A parametric study of the phenomenon is undertaken, showing that, contrary to one's expectations, steeper inhomogeneities of the Alfvén speed do not produce higher saturation levels of the fast wave generation. There is a certain optimal gradient of the inhomogeneity that ensures the maximal efficiency of the fast wave generation.

Item Type:	Journal Article
Subjects:	Q Science > QB Astronomy
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Magnetohydrodynamic waves, Sun -- Corona, Solar activity
Journal or Publication Title:	Astronomy & Astrophysics
Publisher:	EDP Sciences
ISSN:	0004-6361
Official Date:	December 2001
Volume:	Vol.379
Number:	No.3
Page Range:	pp. 1098-1105
Identification Number:	10.1051/0004-6361:20011415
Status:	Peer Reviewed
Access rights to Published version:	Open Access
Funder:	Particle Physics and Astronomy Research Council (Great Britain) (PPARC)
References:	Abdelatif, T. E. 1987, ApJ, 322, 494 Arber, T. D., Longbottom, A. W., Gerrard, C. L., & Milne, A. M. 2001, J. Comput. Phys., 171, 151 Botha, G. J. J., Arber, T. D., Nakariakov, V. M., & Keenan, F. P. 2000, A&A, 363, 1186 Browning, P. K. 1991, Plasm. Phys. Contr. Nucl. Fus., 33, 539 Browning, P. K., & Priest, E. R. 1984, A&A, 131, 283 De Moortel, I., & Hood, A. W. 2000, A&A, 363, 269 DeMoortel, I., Hood, A. W., Ireland, J., & Arber, T. D. 1999, A&A, 346, 641 De Moortel, I., Hood, A. W., & Arber, T. D. 2000, A&A, 354, 334 Grappin, R., Leorat, J., & Buttighoer, A. 2000, A&A, 362, 342 Heyvaerts, J., & Priest, E. R. 1983, A&A, 117, 220 Hood, A. W., Ireland, J., & Priest, E. R. 1997, A&A, 318, 957 Ireland, J. 1996, Ann. Geophysic., 14, 485 Ireland, J., & Priest, E. R. 1997, Sol. Phys., 173, 31 Malara, F., Primavera, L., & Veltri, P. 1996, ApJ, 459, 347 Nakariakov, V. M., Ofman, L., & Arber, T. D. 2000, A&A, 353, 741 Nakariakov, V. M., Ofman, L., DeLuca, E. E., Roberts, B., & Davila, J. M. 1999, Science, 285, 862, Nakariakov, V. M., Roberts, B., & Murawski, K. 1997, Sol. Phys., 175, 93 Nakariakov, V. M., Roberts, B., & Murawski, K. 1998, A&A, 332, 795 Nocera, L., Priest, E. R., & Hollweg, J. V. 1986, Geoph. Astrophys. Fluid Dyn., 35, 111 Ofman, L., & Davila, J. M. 1997, ApJ, 476, 357 Parker, E. N. 1991, ApJ, 376, 355 Roberts, B. 2000, Sol. Phys., 193, 139 Roberts, B. 1991, in Advances in Solar System Magnetohydrodynamics, ed. E. R. Priest, & A. W. Hood (Cambridge Univ. Press) Roberts, B., & Ulmschneider, P. 1997, in Solar and Heliospheric Plasma Physics, ed. G. Simnett et al. (Springer) Ruderman, M. S., Goldstein, M. L., Roberts, D. A., Deane, A., & Ofman, L. 1999, JGR, 104, 17057 Ruderman, M. S., Nakariakov, V. M., & Roberts, B. 1998, A&A, 338, 1118 Ryutova, M. P., & Habbal, S. R. 1995, ApJ, 451, 381 Sakurai, T., & Granik, A. 1984, ApJ, 277, 404 Tsiklauri, D., Nakariakov, V. M., & Arber, T. D. 2001, A&A, submitted
URI:	http://wrap.warwick.ac.uk/id/eprint/3818