2002
DOI: 10.1051/0004-6361:20020204
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Fast and Alfvén waves driven by azimuthal footpoint motions

Abstract: Abstract. The excitation of Alfvén and fast magneto-acoustic waves in coronal loops driven by footpoint motions is studied in linear, ideal MHD. The analysis is restricted to azimuthally polarized footpoint motions so that only Alfvén waves are directly excited to couple to fast magneto-acoustic waves at later times. In the companion paper De Groof et al. (2002) (hereafter referred to as Paper I), the behaviour of the MHD waves is studied in case of a monochromatic driver. In the present study, the effects of … Show more

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Cited by 54 publications
(38 citation statements)
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“…1; both oscillation phase and amplitude experience intermittent variation. A similar result was obtained by De Groof & Goossens (2002) for a model that accounted for mode coupling. Interestingly, this behaviour resembles the regime studied in Nisticò et al (2014), thus it may occur in the corona, but not in the regime discussed here.…”
Section: Models Based On Driven Oscillationssupporting
confidence: 86%
See 1 more Smart Citation
“…1; both oscillation phase and amplitude experience intermittent variation. A similar result was obtained by De Groof & Goossens (2002) for a model that accounted for mode coupling. Interestingly, this behaviour resembles the regime studied in Nisticò et al (2014), thus it may occur in the corona, but not in the regime discussed here.…”
Section: Models Based On Driven Oscillationssupporting
confidence: 86%
“…The random driver could be associated with granulation motion near footpoints of the oscillating loop. This mechanism was considered in De Groof et al De Groof & Goossens (2000) in the context of coronal heating. Figure 3 shows a typical response of a damped harmonic oscillator to random driving.…”
Section: Models Based On Driven Oscillationsmentioning
confidence: 99%
“…When such a system is driven by a broadband source that includes one or more of its eigenfrequencies, interference leads to the dominance of those frequencies. Thus, a broadband driver drives resonances as if it were a superposition of monochromatic drivers (Kivelson & Southwood 1985;Rickard & Wright 1994;de Groof et al 1998).…”
Section: Methodsmentioning
confidence: 99%
“…In particular, we shall study how the phenomenon of phase mixing is affected by these factors. A similar problem was studied by De Groof & Goossens (2000) in the context of resonant absorption of MHD waves in coronal loops as a heating mechanism. However, our treatment is more general as we perform a direct numerical 3D simulation without resorting to Fourier transform in time and y direction (and, consequently, our study can easily be generalized to the case of 2D and 3D structuring) allowing us to consider an initial value problem.…”
Section: Introductionmentioning
confidence: 97%