Dynamics of Line Preserving Field Line Motions

Author:

Figura Przemysław1,Macek Wiesław M.

Affiliation:

1. 1Space Research Centre, Polish Academy of Sciences, Warsaw, Poland

Abstract

AbstractWe develop the theory of line preserving flows and the magnetic reconnection using the Euler potentials formalism. In addition to our recently proposed model, we formulate new equations describing the time evolution of the Euler potentials in the line preserving regime. We also look at a special case of the flows represented by the ideal plasma flows. We consider the magnetic reconnection as a breakage of the line preservation regime. Because general solutions of the obtained dynamics equations do not have their closed-form expressions, we provide two different approaches to the possible solutions, in particular, a linear approximation and a solution by finding a Lagrangian and a Hamiltonian that generate the dynamics equations. We also provide some simple examples of the physical interpretation of the solutions obtained.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Reference60 articles.

1. in Magnetic Reconnection in Space and Laboratory Plasmas Monograph No Geophysical Union;Axford;American,1984

2. Magnetic Cambridge University New York;Priest,2000

3. Geometrical properties of three-dimensional reconnecting magnetic fields with nulls

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1. Stability of the line preserving flows;Geophysical & Astrophysical Fluid Dynamics;2017-08-31

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