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Magnetic configuration after initial relaxation (a), during slow rise phase (b), at time of peak flux rope velocity (c), and during flux rope deceleration (d). The flux rope core is depicted by orange field lines; ambient field lines are green. Bz (z = 0) is shown, with red (blue) corresponding to positive (negative) values. Left panels use a view similar to the observations (see paper I); right panels show a side view. The transparent grey-scales show a logarithmic distribution of |j|/|B| in the plane x = 0, outlining the locations of strongest currents. The sub-volume [−10, 16] × [−11, 11] × [0, 18] is used for all panels. (Kliem and Török 2006; Démoulin and Aulanier 2010), as has been shown under similar conditions in various simulations of erupting flux ropes (Török and Kliem 2007; Fan and Gibson 2007; Schrijver et al. 2008; Aulanier et al. 2010; Török et al. 2011). The right panels in Fig. 4 show that the trajectory of the flux rope is far from being vertical. Such lateral eruptions have been reported frequently in both observations and simulations (see, e.g., Williams et al. 2005; Panasenco et al. 2011; Yang et al. 2012), and are usually attributed to an asymmetric structure of the field overlying the erupting core flux. We believe that this causes the lateral rise also in our case. As the eruption continues, the trajectory of the flux rope becomes increasingly horizontal , resembling the so-called " roll effect " (Panasenco et al. 2011) and indicating that the rope cannot overcome the tension of the large-scale overlying field. Moreover, as a  

Magnetic configuration after initial relaxation (a), during slow rise phase (b), at time of peak flux rope velocity (c), and during flux rope deceleration (d). The flux rope core is depicted by orange field lines; ambient field lines are green. Bz (z = 0) is shown, with red (blue) corresponding to positive (negative) values. Left panels use a view similar to the observations (see paper I); right panels show a side view. The transparent grey-scales show a logarithmic distribution of |j|/|B| in the plane x = 0, outlining the locations of strongest currents. The sub-volume [−10, 16] × [−11, 11] × [0, 18] is used for all panels. (Kliem and Török 2006; Démoulin and Aulanier 2010), as has been shown under similar conditions in various simulations of erupting flux ropes (Török and Kliem 2007; Fan and Gibson 2007; Schrijver et al. 2008; Aulanier et al. 2010; Török et al. 2011). The right panels in Fig. 4 show that the trajectory of the flux rope is far from being vertical. Such lateral eruptions have been reported frequently in both observations and simulations (see, e.g., Williams et al. 2005; Panasenco et al. 2011; Yang et al. 2012), and are usually attributed to an asymmetric structure of the field overlying the erupting core flux. We believe that this causes the lateral rise also in our case. As the eruption continues, the trajectory of the flux rope becomes increasingly horizontal , resembling the so-called " roll effect " (Panasenco et al. 2011) and indicating that the rope cannot overcome the tension of the large-scale overlying field. Moreover, as a  

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Article
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We report observations of a filament eruption, two-ribbon flare, and coronal mass ejection (CME) that occurred in Active Region NOAA 10898 on 6 July 2006. The filament was located South of a strong sunspot that dominated the region. In the evolution leading up to the eruption, and for some time after it, a counter-clockwise rotation of the sunspot...

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Context 1
... TD flux rope is stabilized by flux rooted towards the southern edge of the main polarity, and the rope is inclined with respect to the vertical, which is due to the asymmetry of the potential field surrounding it. Figure 4a shows that electric currents are present in the ambient field volume. The strongest current concentrations are located in the front of the flux rope and exhibit an X-shaped pattern in the vertical cut shown. ...
Context 2
... The QSLs are present in the configuration from the very beginning and arise from the complexity of the potential field. Their presence is evident also in the left panel of Fig. 4a: the green field lines show strong connectivity gradients in the northern part of the main polarity and in the vicinity of the western flux rope footpoint. It has been demonstrated that current concentrations form preferably at the locations of QSLs as a system containing such structures is dynamically perturbed (see, e.g., Aulanier, ...
Context 3
... twisting does not lead to the formation of a single twisted flux tube that rises exactly in vertical direction above the TD rope, as it was the case earlier studies (Amari et al. 1996;Török and Kliem 2003;Aulanier, Démoulin, and Grappin 2005). Rather, the twisting leads to a slow, global expansion of the fan-shaped field lines, as shown in Fig. 4. Since we are mainly interested in the destabilization of the flux rope, we did not study the detailed evolution of the large-scale field. We expect it to be very similar to the one described in Santos, Büchner, and Otto (2011), since the active region those authors simulated was also dominated by one main polarity, and the field ...
Context 4
... affected only by a fraction of the boundary flows and therefore get merely sheared (rather than twisted), which still leads to their slow expansion. As a result, the TD rope starts to rise, adapting to the successively decreasing magnetic tension of the overlying field (phase I in Fig. 3). This initial phase of the evolution is depicted in Fig. 4b. Note that some of the flux at the front of the expanding arcade reconnects at the QSL current layer, which can be expected to aid the arcade expansion to some degree. As can be seen in Fig. 3, the TD rope rises, after some initial adjustment, exponentially during this slow initial ...
Context 5
... of the TD rope after t ≈ 100 τ a can be associated with the development of the torus instability ( Kliem and Török 2006;Démoulin and Aulanier 2010), as has been shown under similar conditions in various simulations of erupting flux ropes Fan and Gibson 2007;Schrijver et al. 2008;Aulanier et al. 2010;Török et al. 2011). The right panels in Fig. 4 show that the trajectory of the flux rope is far from being vertical. Such lateral eruptions have been reported frequently in both observations and simulations (see, e.g., Williams et al. 2005;Panasenco et al. 2011;Yang et al. 2012), and are usually attributed to an asymmetric structure of the field overlying the erupting core flux. We ...

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... In the flux rope catastrophe theory, the onset of the eruption is approached as the loss of equilibrium of the coronal flux rope system. Before the onset, the flux rope should be static or quasi-static (Török et al., 2013;Liu, 2020), indicating that the flux rope system is in equilibrium. If the equilibrium is not disrupted, the net force on the flux rope will always be zero, so that its state of motion will remains unchanged, i.e., no eruption of the flux rope could occur. ...
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... Once the tension is sufficiently reduced, a distinct second phase of evolution occurs where the flux rope enters an unstable regime characterized by a strong acceleration. Our simulation thus suggests a new mechanism for the triggering of eruptions in the vicinity of rotating sunspots [27]. 19 ...
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