Coherent transport structures in magnetized plasmas, I : Theory
arXiv:1710.09815 · doi:10.1063/1.5020163
Abstract
In a pair of linked articles (called Article I and II respectively) we apply the concept of Lagrangian Coherent Structures (LCSs) borrowed from the study of Dynamical Systems to magnetic field configurations in order to separate regions where field lines have different kind of behaviour. In the present article, article I, after recalling the definition and the properties of the LCSs, we show how this conceptual framework can be applied to the study of particle transport in a magnetized plasma. Futhermore we introduce a simplified model that allows us to consider explicitly the case where the magnetic configuration evolves in time on timescales comparable to the particle transit time through the configuration. In contrast with previous works on this topic, this analysis requires that a system that is aperiodic in time be investigated. In this case the Poincaré map technique cannot be applied and LCSs remain the only viable tool.
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Cited by in corpus (7)
- Evolution, structure and topology of self-generated turbulent reconnection layers
- Coherent transport structures in magnetized plasmas II: Numerical results
- Analysis of the nonlinear dynamics of a chirping-frequency Alfvén mode in a Tokamak equilibrium
- Role of the edge electric field in the resonant mode-particle interactions and the formation of transport barriers in toroidal plasmas
- Kinetic versus Magnetic Chaos in Toroidal Plasmas: A systematic quantitative comparison
- Prediction of temperature barriers in weakly collisional plasmas by a Lagrangian Coherent Structures computational tool
- Resonance overlap and non-linear features of the beam-plasma system