2015
DOI: 10.1098/rsta.2014.0266
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Shock heating in numerical simulations of kink-unstable coronal loops

Abstract: An analysis of the importance of shock heating within coronal magnetic fields has hitherto been a neglected area of study. We present new results obtained from nonlinear magnetohydrodynamic simulations of straight coronal loops. This work shows how the energy released from the magnetic field, following an ideal instability, can be converted into thermal energy, thereby heating the solar corona. Fast dissipation of magnetic energy is necessary for coronal heating and this requirement is compatible with the time… Show more

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Cited by 21 publications
(30 citation statements)
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“…As a first step of investigating the effects of anisotropic viscosity on coronal dynamics, we focus on the kink instability [18,19], believed to be a trigger for flares [20] and an important mechanism in the theory of coronal heating through nanoflares [21]. The instability has also been studied using shock viscosity [19,22] but a detailed investigation of the effects of Newtonian and Braginskii viscosity has not, to the best of our knowledge, been performed. In particular, the main aim of this paper is to provide insight into the effect of the choice of viscosity model on the nonlinear dynamics and relaxation of a twisted coronal loop, where the kink instability converts magnetic energy to heat through Ohmic heating generated via current structures and through viscous heating generated via flow structures.…”
Section: Introductionmentioning
confidence: 99%
“…As a first step of investigating the effects of anisotropic viscosity on coronal dynamics, we focus on the kink instability [18,19], believed to be a trigger for flares [20] and an important mechanism in the theory of coronal heating through nanoflares [21]. The instability has also been studied using shock viscosity [19,22] but a detailed investigation of the effects of Newtonian and Braginskii viscosity has not, to the best of our knowledge, been performed. In particular, the main aim of this paper is to provide insight into the effect of the choice of viscosity model on the nonlinear dynamics and relaxation of a twisted coronal loop, where the kink instability converts magnetic energy to heat through Ohmic heating generated via current structures and through viscous heating generated via flow structures.…”
Section: Introductionmentioning
confidence: 99%
“…Secondly, the magnetic energy can be converted into kinetic energy of plasma turbulence well away from the reconnection regions. This is possible, for instance, if the plasma is heated and turbulised by MHD shocks generated by the magnetic reconnection, see Bareford & Hood (2015), Bareford et al (2016).…”
Section: Characteristics Of the Velocity Fields Obtained From Numericmentioning
confidence: 99%
“…Detailed models of the build-up of energy in magnetic fields and the subsequent energy release include models of field braiding (as reviewed by [22]) and relaxation following an ideal MHD instability in a twisted field [23]. The process by which reconnection actually dissipates the energy requires further investigation-dissipation need not take place mainly through Ohmic resistivity within current sheets, but rather in larger scale structures such as shocks [20,23].…”
Section: Modelling Coronal Heatingmentioning
confidence: 99%