Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.184..157s&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 184, no. 1, Oct. 1991, p. 157-166.
Astronomy and Astrophysics
Astrophysics
5
Lagrange Coordinates, Magnetic Flux, Relativistic Plasmas, String Theory, Variational Principles, Equations Of Motion, Magnetohydrodynamic Waves
Scientific paper
A special Lagrangian coordinate system is introduced, in which the magnetic flux tube is the main object of investigation. The flux tube is shown to behave as a nonlinear relativistic string in relation to tangential force. General and particular variational principles are also discussed. With the introduction of a Lagrangian coordinate system the relativistic magnetohydrodynamic equation of motion reduces to a set of nonlinear string equations. From these results if follows that a highly conductive plasma with a 'frozen-in' magnetic field can be considered as a gas of nonlinear strings interacting through pressure forces. A method is developed which allows the multidimensional nonlinear problems of RMHD (relativistic MHD) with boundary layers to be reduced to a set of two-dimensional problems for flux tubes, i.e., nonlinear strings.
Bernikov Lev V.
Semenov Vladimir S.
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