Chaotic field line diffusion in Tokamaks
Elton C. da Silva, Iberê Luiz Caldas, Ricardo Luiz Viana
Abstract
Elton C. da Silva, Iberê Luiz Caldas, Ricardo Luiz Viana
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.
Key concepts: Tokamak, Physics, Limiter, Field line, Toroid, Chaotic, Diffusion, Magnetic field