Solitary wave propagation in solar flux tubes
- Solar Physics and Upper-Atmosphere Research Group, Department of Applied Mathematics, University of Sheffield, Hounsfield Road, Hicks Building, Sheffield S3 7RH (United Kingdom)
The aim of the present work is to investigate the excitation, time-dependent dynamic evolution, and interaction of nonlinear propagating (i.e., solitary) waves on vertical cylindrical magnetic flux tubes in compressible solar atmospheric plasma. The axisymmetric flux tube has a field strength of 1000 G at its footpoint, which is typical for photospheric regions. Nonlinear waves that develop into solitary waves are excited by a footpoint driver. The propagation of the nonlinear signal is investigated by solving numerically a set of fully nonlinear 2.0D magnetohydrodynamic (MHD) equations in cylindrical coordinates. For the initial conditions, axisymmetric solutions of the linear dispersion relation for wave modes in a magnetic flux tube are applied. In the present case, we focus on the sausage mode only. The dispersion relation is solved numerically for a range of plasma parameters. The equilibrium state is perturbed by a Gaussian at the flux tube footpoint. Two solitary solutions are found by solving the full nonlinear MHD equations. First, the nonlinear wave propagation with external sound speed is investigated. Next, the solitary wave propagating close to the tube speed, also found in the numerical solution, is studied. In contrast to previous analytical and numerical works, here no approximations were made to find the solitary solutions. A natural application of the present study may be spicule formation in the low chromosphere. Future possible improvements in modeling and the relevance of the photospheric chromospheric transition region coupling by spicules is suggested.
- OSTI ID:
- 20782565
- Journal Information:
- Physics of Plasmas, Vol. 13, Issue 3; Other Information: DOI: 10.1063/1.2176599; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
Similar Records
NUMERICAL MODELING OF FOOTPOINT-DRIVEN MAGNETO-ACOUSTIC WAVE PROPAGATION IN A LOCALIZED SOLAR FLUX TUBE
Dynamics of the solar atmosphere: Spicules and fibrils
Related Subjects
APPROXIMATIONS
AXIAL SYMMETRY
CHROMOSPHERE
COUPLING
CYLINDRICAL CONFIGURATION
DISPERSION RELATIONS
EXCITATION
MAGNETIC FLUX
MAGNETOHYDRODYNAMICS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
NUMERICAL SOLUTION
PHOTOSPHERE
PLASMA
SAUSAGE INSTABILITY
SIMULATION
SOLAR FLUX
SOLAR PROMINENCES
SOLITONS
SOUND WAVES
TIME DEPENDENCE
VELOCITY
WAVE PROPAGATION