Theory of magnetic connectivity in the solar corona

By V. S. Titov, G. Hornig, P. Démoulin. 2002

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Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ac2b1236d18f951065703a544ff2f031845d5485

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Citations in the corpus

The standard flare model in three dimensions - III. Slip-running reconnection properties (2013, methodology): “Especially, we extensively use parameters that define QSLs, such as the norm of the connectivity mapping N (Priest & Démoulin 1995) and the squashing degree Q (Titov et al. 2002), to find possible relations with the speed of the slipping motion of field lines.”
Photospheric flux cancellation and associated flux rope formation and eruption (2010, background): “…underside rooted in the dense lower atmosphere having a bald patch separatric surface (BPSS) topology (Titov & Démoulin 1999), and flux ropes which are situated in the corona having a so-called hyperbolic flux tube (HFT), i.e., a magnetic X-type structure, at their underside (Titov et al. 2002).”
A MODEL FOR MAGNETICALLY COUPLED SYMPATHETIC ERUPTIONS (2011, background): “Figure 1e shows a cut through the coronal distribution of the squashing factorQ (Titov et al. 2002) above filaments 2 and 3.”
CRITERIA FOR FLUX ROPE ERUPTION: NON-EQUILIBRIUM VERSUS TORUS INSTABILITY (2010, background): “A progressive transformation of the coronal magnetic configuration is also expected due to reconnection of the current layers formed at separatrices and Quasi-Separatrix Layers (QSLs, e.g. Titov et al. 2002) during the intermediate time-scale τB .”
Ideal kink instability of a magnetic loop equilibrium (2003, background): “Its strength controls the twist of the field in the torus, and it turns the X line into a hyperbolic flux tube (HFT; for a definition, see Titov et al., 2002).”
A MODEL FOR THE SOURCES OF THE SLOW SOLAR WIND (2010, methodology): “The topology of this mapping, as evidenced by structures such as separatrices and QSLs, is most easily seen by analyzing the squashing factor Q (Titov et al. 2002; Titov 2007).”
ELECTRIC CURRENTS IN FLARE RIBBONS: OBSERVATIONS AND THREE-DIMENSIONAL STANDARD MODEL (2014, methodology): “The evolution of reconnected field lines and the topology of the magnetic field (including QSLs) as well as the 3D intrinsic reconnection process have been analyzed in details in Aulanier et al. (2012) and Janvier et al. (2013).”
The magnetic field in the solar atmosphere (2014, background): “variations regarding the location of the opposite polarity footpoint are detected, indicating the location of “quasi-separatrix layers” (QSLs; Priest and Démoulin 1995; Démoulin et al. 1997; Titov et al. 2002).”
Slip-Running Reconnection in Quasi-Separatrix Layers (2006, background): “In a given QSL, the connectivity gradients are the largest in the sub-region where the squashing degree Q (defined by Titov, Hornig, and Démoulin, 2002) peaks to its maximum value, which is known as the hyperbolic flux tube (HFT, see Titov, Gaslgaard, and Neukirch, 2003).”
Generalized Squashing Factors for Covariant Description of Magnetic Connectivity in the Solar Corona (2007, background): “This generalizes a coordinate-free definition of the squashing factor to the case of curvilinear boundaries, whose tangent planes are generally not the same, as is in the case of plane boundaries considered in Titov et al. (1999, 2002) and Titov & Hornig (2002).”
THE NATURE OF FLARE RIBBONS IN CORONAL NULL-POINT TOPOLOGY (2009, background): “A QSL is a purely three-dimensional object, in which the connectivity gradients are the largest in the subregion where the squashing degree Q (defined by Titov et al. 2002) peaks to its maximum value; domain known as the hyperbolic flux tube (HFT).”
Formation of current sheets and sigmoidal structure by the kink instability of a magnetic loop (2003, background): “The presence of a toroidal field component turns the neighbourhood of the X line into a hyperbolic flux tube (HFT) which consists of two intersecting quasi-separatrix layers withextremely diverging field lines (for a strict definition of HFTs, see Titov et al., 2002).”
Extending the concept of separatrices to QSLs for magnetic reconnection (2006, methodology): “Then, a QSL is defined by Q >> 2 (Titov et al., 2002).”
Three-dimensional magnetic reconnection regimes: a review (2011, background): “These gradients in the connectivity are characterised by the so-called squashing factor, Q (Titov et al., 2002; Titov, 2007), and regions with high values of Q are usually termed quasi-separatrix layers (or QSLs).”
Current sheet formation in quasi-separatrix layers and hyperbolic flux tubes (2005, methodology): “…resistive and viscous effects in separatrices and QSLs For the bipolar magnetic configurations that we studied, especially for Φ = 150◦, but also for more general configurations, the profile of the squashing degree Q can be very strongly peaked (Démoulin et al. 1996a,b; Titov et al. 2002).”
Topological Methods for the Analysis of Solar Magnetic Fields (2005, background): “(20) A related but slightly more complicated definition, offered by Titov et al. (2002) Q(x+) = N2+ |det(D+)| , Q(x−) = N2− |det(D−)| , (21) is directly related to the degree of squashing imposed by the mapping.17 Moreover, this function takes the same value at conjugate footpoints of the same…”