2001AIP conference proceedingsRequires access

Chaotic field line diffusion in Tokamaks

Elton C. da Silva, Iberê Luiz Caldas, Ricardo Luiz Viana

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Abstract

We have studied numerically the chaotic field line diffusion in a Tokamak with ergodic magnetic limiters. The model field is analytically obtained by solving a Grad-Shafranov equation in toroidal polar coordinates, and the limiter field is obtained by supposing its action as a sequence of delta-function pulses. The mean square radial deviation of a bunch of field lines in a predominantly chaotic region is analyzed. Our results show an initially superdiffusive behavior, followed by a subdiffusive regime, with subsequent loss of field lines due to collisions with the inner wall.

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We have studied numerically the chaotic field line diffusion in a Tokamak with ergodic magnetic limiters. The model field is analytically obtained by solving a Grad-Shafranov equation in toroidal polar coordinates, and the limiter field is obtained by supposing its action as a sequence of delta-function pulses. The mean square radial deviation of a bunch of field lines in a predominantly chaotic region is analyzed. Our results show an initially superdiffusive behavior, followed by a subdiffusive regime, with subsequent loss of field lines due to collisions with the inner wall.

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Available abstract

We have studied numerically the chaotic field line diffusion in a Tokamak with ergodic magnetic limiters. The model field is analytically obtained by solving a Grad-Shafranov equation in toroidal polar coordinates, and the limiter field is obtained by supposing its action as a sequence of delta-function pulses. The mean square radial deviation of a bunch of field lines in a predominantly chaotic region is analyzed. Our results show an initially superdiffusive behavior, followed by a subdiffusive regime, with subsequent loss of field lines due to collisions with the inner wall.

Key concepts: Tokamak, Physics, Limiter, Field line, Toroid, Chaotic, Diffusion, Magnetic field

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