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Analysis of Lagrangian Coherent Structures (LCSs) has been showed to be avalid mathematical approach to explain the formation of transport barriers inmagnetized plasmas. Such LCSs, borrowed from fluid dynamics theory, can beconsidered as the hidden skeleton of the system and can be used for studying awide spectrum of transport mechanisms even in plasmas. In this paper, wedemonstrate that such structures can be particularly useful for underlying thehidden paths governing the motion of magnetic field lines in chaotic magneticfields. To perform such an analysis, we developed a numerical tool able todetect LCSs for a general dynamical system. The tool is able to deal withgeneral coordinate systems and it is shown to match with other techniquesalready used to analyse chaotic magnetic fields, e.g. connection length. Afterthe description of the computational tool, we focus on the heat transportequation and the comparison between temperature profile and topology of theLCSs. We provide evidence that numerical simulations are able to reproduce thetemperature profiles similar to those observed in RFP experiments and that ourtool successfully predicts the location of temperature gradients. The resultssuggest that, inside the chaotic region, the field-lines motion is far fromstochastic and that the presence of hidden patterns allows the development ofhigh temperature gradients.

Prediction of temperature barriers in weakly collisional plasmas by a Lagrangian Coherent Structures computational tool