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Lagrangian coherent structures and plasma transport processes

Part of: Complex Plasma Phenomena

Published online by Cambridge University Press:  13 July 2015

M. V. Falessi ,
F. Pegoraro  and
T. J. Schep
M. V. Falessi*
Affiliation:
Dipartimento di Matematica e Fisica, Roma Tre University, Via della Vasca Navale 84, 00199 Rome, Italy
F. Pegoraro
Affiliation:
Dipartimento di Fisica, Pisa University, Largo Bruno Pontecorvo 3, 56127 Pisa, Italy
T. J. Schep
Affiliation:
Department of Physics, Eindhoven University of Technology, De Rondom 70, 5612 AP Eindhoven, The Netherlands
*
†Email address for correspondence: [email protected]
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Abstract

A dynamical system framework is used to describe transport processes in plasmas embedded in a magnetic field. For periodic systems with one degree of freedom, the Poincaré map provides a splitting of the phase space into regions where particles have different kinds of motion: periodic, quasi-periodic or chaotic. The boundaries of these regions are transport barriers, i.e. a trajectory cannot cross such boundaries throughout the evolution of the system. Lagrangian coherent structures generalize this method to systems with the most general time dependence, splitting the phase space into regions with different qualitative behaviours. This leads to the definition of finite-time transport barriers, i.e. trajectories cannot cross the barrier for a finite amount of time. This methodology can be used to identify fast recirculating regions in the dynamical system and to characterize the transport between them.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 5 , October 2015 , 495810505
Copyright
© Cambridge University Press 2015 

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