2003
DOI: 10.1086/375834
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The Emergence of a Twisted Magnetic Flux Tube into a Preexisting Coronal Arcade

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Cited by 191 publications
(206 citation statements)
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“…For instance, an equilibrium coronal loop becomes unstable if its length is stretched beyond a critical value, or if it is twisted by photospheric motions (Priest 1978). For twisted magnetic field configurations, different critical thresholds were found within numerical experiments, including uniformly twisted toroidal or periodic, line-tied cylindrically symmetric configurations (Hood and Priest 1981;Baty and Heyvaerts 1996) and locally twisted configurations (Baty and Heyvaerts 1996;Mikić et al 1990;Fan and Gibson 2003;Török and Kliem 2003). Note, the results of all of these model experiments agree fairly well on the critical amount of twist: the field lines must perform more than one full turn (T > 2π) about the center of the flux tube for it to become kink unstable, which would be observed as an eruption under coronal conditions.…”
Section: Magnetic Shear and Twistmentioning
confidence: 99%
“…For instance, an equilibrium coronal loop becomes unstable if its length is stretched beyond a critical value, or if it is twisted by photospheric motions (Priest 1978). For twisted magnetic field configurations, different critical thresholds were found within numerical experiments, including uniformly twisted toroidal or periodic, line-tied cylindrically symmetric configurations (Hood and Priest 1981;Baty and Heyvaerts 1996) and locally twisted configurations (Baty and Heyvaerts 1996;Mikić et al 1990;Fan and Gibson 2003;Török and Kliem 2003). Note, the results of all of these model experiments agree fairly well on the critical amount of twist: the field lines must perform more than one full turn (T > 2π) about the center of the flux tube for it to become kink unstable, which would be observed as an eruption under coronal conditions.…”
Section: Magnetic Shear and Twistmentioning
confidence: 99%
“…For example, an emerging flux trigger (Chen & Shibata 2000), flux cancellation (Amari et al 2003a(Amari et al ,b, 2010, tether cutting (Moore et al 2001), and breakout models (Antiochos et al 1999;Lynch et al 2004;Karpen et al 2012) require magnetic reconnection below or above the flux rope. On the other hand, numerical MHD simulations of the kink instability suggest that if the twist of the flux rope exceeds a critical value (∼1.75 field line turns), then it becomes unstable (Fan & Gibson 2003Kliem et al 2004;Török & Kliem 2003;Török et al 2004). Alternatively, the decrease of an overlying magnetic field (B) with height (H; decay index n = −d(log B)/d(log H) > 1.5, condition for torus instability) above the eruption site alone can decide whether the eruption of a flux rope is successful or fails Aulanier et al 2010;Olmedo & Zhang 2010).…”
Section: Introductionmentioning
confidence: 99%
“…Fan & Gibson (2003) studied the kink motion of the tube and its interaction with an ambient coronal field. Titov & Démoulin (1999) constructed a force-free model of an anchored twisted flux tube with an arch-like shape embedded in an external potential magnetic field.…”
Section: Introductionmentioning
confidence: 99%