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I µ 1/[ R ln( R / r 0 )]

I µ 1/[ R ln( R / r 0 )]. 3D Loss-of-Equilibrium Model. Titov & Démoulin (1999). 1. flux rope. 3 field sources. 3. line-current. 2. magnetic    charges. Simulation of “Torus*” Instability. 1. no subsurface line current 2. subcritical twist for helical kink

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I µ 1/[ R ln( R / r 0 )]

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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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