Abstract

The concept of Lagrangian Coherent Structures (LCS) is here applied to investigate in a new perspective the particles transport in chaotic magnetic configurations. A paradigmatic and simplified magnetic configuration is revisited before extending the analysis to a more realistic one. Preliminary results concerning the typical dynamics of the Reversed Field Pinch (RFP) device are shown.

Highlights

  • The concept of Lagrangian Coherent Structures (LCS) is here applied to investigate in a new perspective the particles transport in chaotic magnetic congurations

  • The transport of particles along chaotic trajectories is an important issue in thermonuclear plasmas, since magnetic eld lines embedded in a plasma connement system are often characterized by a chaotic motion [1, 2, 3, 4, 5, 6]

  • In this work we apply the concept of Lagrangian Coherent Structures (LCSs) borrowed from the study of dynamical systems [see the review paper in [13]] in order to distinguish in a chaotic domain sub-regions characterized by dierent transport features

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Summary

Introduction

The transport of particles along chaotic trajectories is an important issue in thermonuclear plasmas, since magnetic eld lines embedded in a plasma connement system are often characterized by a chaotic motion [1, 2, 3, 4, 5, 6]. In this work we still remain within the ansatz of the motion of magnetic eld line as a proxy for the particle trajectories along the lines This has been a common ansatz in fusion plasmas where collisions eects and drifts are neglected (see for example the famous paper [7]) and it proved to be valid when using test electrons to reconstruct the magnetic topology of Wendelstein 7-X [8]. In this work we apply the concept of Lagrangian Coherent Structures (LCSs) borrowed from the study of dynamical systems [see the review paper in [13]] in order to distinguish in a chaotic domain sub-regions characterized by dierent transport features. Published under licence by IOP Publishing Ltd and periodic systems to temporally aperiodic ows In this perspective over the nite time span which characterizes the LCS the particles belonging to dierent regions can not mix with each other. At this stage the analysis will be restricted to the time-periodic case

Lagrangian Coherent Structures as maximal repulsion-attraction material lines
Slab magnetic eld conguration
Numerical results
Reversed Field Pinch numerical simulation
Conclusions and remarks
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