New analytical results for two-dimensional force-free fields are presented. First, a number of exact solutions for force-free fields described by Liouville equations are given and their physical relevance for laboratory and astrophysical plasmas is discussed. Subsequently, Lie point symmetries of Liouville equation are reviewed and Lie point symmetries of the equation describing helically symmetric force-free fields are presented and discussed. Finally a formal analogy between the equations governing the vector potential components of a class of force-free fields and the dynamical equations for a charged particle in a magnetic field is shown. Relevant examples of solutions and applications of this analogy are discussed.
Symmetries and solutions of equations describing force-free magnetic fields
PEGORARO, FRANCESCO;CICOGNA, GIAMPAOLO
2009-01-01
Abstract
New analytical results for two-dimensional force-free fields are presented. First, a number of exact solutions for force-free fields described by Liouville equations are given and their physical relevance for laboratory and astrophysical plasmas is discussed. Subsequently, Lie point symmetries of Liouville equation are reviewed and Lie point symmetries of the equation describing helically symmetric force-free fields are presented and discussed. Finally a formal analogy between the equations governing the vector potential components of a class of force-free fields and the dynamical equations for a charged particle in a magnetic field is shown. Relevant examples of solutions and applications of this analogy are discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
