The Damping of Coronal Loop Oscillations

By Michael Ruderman, B. Roberts. 2002

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Subfields: Astronomy and Astrophysics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/4d50990d56da3d3652e7be924c1f8ed05533646b

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Citations in the corpus

The FIP and Inverse FIP Effects in Solar and Stellar Coronae (2015, background): “ scale length l, a kink mode oscillation of the ﬂux tube becomes Alfv´enic at a resonant surface where the wave frequency ω = 2L/VA, where L is the loop length and VA is the Alfv´en speed (see, e.g., Ruderman and Roberts, 2002). The width of this resonant layer is δ ∼ (lν/ω)1/3, where ν = aV A/R is ”
Coronal loop oscillations - An interpretation in terms of resonant absorption of quasi-mode kink oscillations (2002, methodology): “The fact that the inhomogeneity length scale never exceeds the loop radius supports the prediction by Ruderman & Roberts (2002) that loops with longer inhomogeneity length scales are hardly able to oscillate.”
Standing Slow-Mode Waves in Hot Coronal Loops: Observations, Modeling, and Coronal Seismology (2010, background): “…of damping mechanisms have been proposed to explain the rapid decay of transverse oscillations observed by TRACE, among which resonant absorption (Ruderman & Roberts 2002; Van Doorsselaere et al. 2004; Goossens 2008), phase mixing (Nakariakov et al. 1999; Ofman & Aschwanden 2002), and lateral…”
CORONAL LOOP OSCILLATIONS OBSERVED WITH ATMOSPHERIC IMAGING ASSEMBLY—KINK MODE WITH CROSS-SECTIONAL AND DENSITY OSCILLATIONS (2011, methodology): “The ratio of the damping time to the period was calculated for resonant absorption by Ruderman & Roberts (2002) for a thin-boundary layer and by Van Doorsselaere et al. (2004) for thick boundaries, ( τD P thin ) = qTB 2 π ( r0 lskin ) (1 + qn) (1 − qn) , (30) where qTB ≈ 0.75 is the correction…”
Hinode observations of transverse waves with flows in coronal loops (2008, background): “There are three main classes of wave damping mechanism that are currently debated in the literature (e.g., Roberts 2000; Ruderman & Roberts 2002; Ofman 2002; Ofman & Aschwanden 2002; Goossens et al. 2002; Van Doorsselaere et al. 2004; Aschwanden 2005): leakage, resonant absorption or mode…”
Coronal Waves and Oscillations (2005, background): “For a thin, weakly dissipative loop with a thin boundary layer between a − ` and a of the form ρ(r) = [(ρ0 + ρe) − (ρ0 − ρe) cos((r − a)π/`)]/2, the global kink wave has a decay time (which may be derived from Equation (13)) (Ruderman and Roberts, 2002) τ”
Observational Tests of Damping by Resonant Absorption in Coronal Loop Oscillations (2003, methodology): “R a in the thin-boundary approximation, tD P thin ¼ 2 a l ð1þ Þ ð1 Þ 2 R l ð1þ Þ ð1 Þ : ð3Þ Ruderman & Roberts (2002) obtained the above analytical expression (and also their more general expression, eq.”
Decayless low-amplitude kink oscillations: a common phenomenon in the solar corona? (2015, background): “…associated with the phenomenon of resonantabsorption that is linear coupling of the collective kink oscillat on with torsional Alfvénic oscillations at the surface of the constant Alfvén speed that coincides with the phase speed of the kink wave (e.g. Ruderman & Roberts 2002; Goossens et al. 2002).”
Physics of Solar Prominences: II—Magnetic Structure and Dynamics (2010, background): “…for the damping time over the period can be written as (e.g.,Hollweg and Yang, 1988; Sakurai et al., 1991; Goossens et al., 1992, 1995; Ruderman and Roberts, 2002): τd P = F a l c+ 1 c− 1 , (2) where c is the density contrast of the thread, and F is a numerical factor that depends…”
Decaying and decayless transverse oscillations of a coronal loop (2013, methodology): “…with their use as a seismological probe of the abso- Two movies are available in electronic form at http://www.aanda.org lute value of the magnetic field (Nakariakov & Ofman 2001), and also with their peculiarly rapid damping after excitation (e.g. Ruderman & Roberts 2002; Goossens et al. 2002).”
Coronal loop seismology using multiple transverse loop oscillation harmonics (2007, methodology): “Early analytical work on this mechanism was done by Goossens et al. (1995); Ruderman & Roberts (2002) and numerical modelling was done by Van Doorsselaere et al. (2004a) to extend the standard loop model to radially inhomogeneous loops.”
Coronal loop oscillations Calculation of resonantly damped MHD quasi-mode kink oscillations of longitudinally stratified loops (2005, background): “When the damped coronal loop oscillations were discovered, resonant absorption was suggested as a possible damping mechanism by Ruderman & Roberts (2002).”
Damping of Coronal Loop Oscillations: Calculation of Resonantly Damped Kink Oscillations of One-dimensional Nonuniform Loops (2004, methodology): “The observed coronal loop oscillations have been modeled as fast kink oscillations by, e.g., Nakariakov et al. (1999), Ruderman & Roberts (2002), and Goossens, Andries, & Aschwanden (2002) and as phase-mixed torsional Alfvén waves (Ofman & Aschwanden 2002).”
Coronal Seismology by Means of Kink Oscillation Overtones (2009, background): “In a longitudinally invariant loop this is known to cause damping of the oscillation by resonant absorption (Ruderman and Roberts 2002; Goossens et al. 2002).”
Characteristics of transverse oscillations in a coronal loop arcade (2004, background): “Ruderman and Roberts (2002) considered resonant absorption of the global oscillation in which the wave energy is transferred to local, torsional oscillations.”
Transverse Oscillations of Coronal Loops (2009, methodology): “To distinguish the first fast kink mode from the other fast kink modes it was suggested by Ruderman and Roberts (2002) to call it the global fast kink wave.”
Multiwavelength Studies of MHD Waves in the Solar Chromosphere (2015, background): “These include resonant absorption and phase mixing (e.g., Goossens and De Groof 2001; Ruderman and Roberts 2002; Goossens et al. 2002), turbulent mixing (van Ballegooijen et al. 2011), in addition to examples of mode conversion (e.g., Ulmschneider et al. 1991; Kalkofen 1997) and thermal conduction…”
MHD seismology of coronal loops using the period and damping of quasi-mode kink oscillations (2007, background): “…through the chromospheric density gradient (De Pontieu et al. 2001; Ofman 2002); phase mixing of Alfvén waves (Heyvaerts & Priest 1983; Ofman & Aschwanden 2002); and resonant absorption of quasi-mode kink oscillations (Hollweg & Yang 1988; Ruderman & Roberts 2002; Goossens et al. 2002, 2006).”