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Anomalous transport in symplectic maps: Application in plasma dynamics

Grant number: 20/12478-6
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): December 01, 2020
Effective date (End): November 30, 2021
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Iberê Luiz Caldas
Grantee:Matheus Palmero Silva
Supervisor abroad: Dr. Igor Michailovitsch Sokolov
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Local de pesquisa : Humboldt University, Germany  
Associated to the scholarship:18/03000-5 - Chaotic transport in symplectic maps: Applications in plasma, BP.DR

Abstract

In this project, we investigate the anomalous transport in phase spaces of symplectic maps via two novel theoretical approaches. The diffusion in specific regions of the phase space can be described by a simple rule of summations in a discrete numerical process and, additionally, a few properties from complex network analysis can be suitable to characterize different dynamic regimes of interest. Our goal is to investigate these two methods to understand the anomalous transport in the phase space of two maps that describes the configuration of the magnetic field lines in tokamaks under different regimes. The theoretical study of this type of transport in plasma dynamics is also significant to experiments in tokamaks. Finally, this theoretical methodology can be applied to other similar systems that can be represented via a two-dimensional, area-preserving, Hamiltonian maps.