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Simulation of Torus Instability in Magnetic Field Sources

This study investigates the loss of equilibrium in a toroidal configuration under various conditions. Using the model developed by Titov and Démoulin (1999), we explore the effects of subsurface line currents and subcritical twists leading to helical and non-helical kink instabilities. The analysis focuses on magnetic charges in the plasma and their contribution to the behavior of the torus near the surface. We provide 3D simulations to illustrate the dynamics of the system, enhancing our understanding of toroidal plasma stability and its implications for magnetic confinement strategies.

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Simulation of Torus Instability in Magnetic Field Sources

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  1. Iµ 1/[R ln(R/r0)]

  2. 3D Loss-of-Equilibrium Model Titov & Démoulin (1999) 1. flux rope 3 field sources 3. line-current 2. magnetic   charges

  3. Simulation of “Torus*” Instability 1. no subsurface line current 2. subcritical twist for helical kink 3. torus center near surface *nonhelical kink (see Bateman 1973)

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