Dynamics of Line Preserving Field Line Motions

作者：Figura Przemyslaw^*; Macek Wieslaw M

来源：Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, 2015, 70(8): 643-651.

DOI：10.1515/zna-2015-0123

• Euler Potentials
• Field Line Flows
• Magnetic Reconnection
• Magnetohydrodynamics
• Plasma Physics

We 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.

• 出版日期2015-8