This title appears in the Scientific Report :
2005
Please use the identifier:
http://dx.doi.org/10.1002/ctpp.200510056 in citations.
Stochastic transport of magnetic field lines in the symmetric tokamak
Stochastic transport of magnetic field lines in the symmetric tokamak
The topological structure and the statistical properties of stochastic magnetic fields are investigated on the basis of the so called tokamap. First, a monotonic safety factor (q-profile) is assumed. As it is demonstrated, the transition from the continuous model to the discrete mapping in its symme...
Saved in:
Personal Name(s): | Wingen, A. |
---|---|
Spatschek, K. H. / Abdullaev, S. S. | |
Contributing Institute: |
Institut für Plasmaphysik; IPP |
Published in: | Contributions to plasma physics, 45 (2005) S. 500 - 513 |
Imprint: |
Weinheim
Wiley-VCH
2005
|
Physical Description: |
500 - 513 |
DOI: |
10.1002/ctpp.200510056 |
Document Type: |
Journal Article |
Research Program: |
Kernfusion und Plasmaforschung |
Series Title: |
Contributions to Plasma Physics
45 |
Subject (ZB): | |
Publikationsportal JuSER |
The topological structure and the statistical properties of stochastic magnetic fields are investigated on the basis of the so called tokamap. First, a monotonic safety factor (q-profile) is assumed. As it is demonstrated, the transition from the continuous model to the discrete mapping in its symmetric form is essential, not only for the symplectic structure, but also for the precise values characterizing the transition to chaos (e.g. the break-up of the KAM surfaces) in applications. Statistical properties of the symmetric tokamap, such as escape rates and anomalous diffusion properties, are being presented. By a systematic procedure the stable and unstable manifolds of the periodic hyperbolic fixed points and the resulting homoclinic tangles (stochastic layers) are determined. The latter are important for the magnetic field line transport. For a non-monotonic q-profile, the differences between the symmetric and non-symmetric revtokamap become also significant. The symmetric revtokamap represents an open nonlinear dynamical system which is characterized here with the relevant tools. |