Magnetic Solitons

Solitons and localized dissipative structures are the most natural and well-observed manifestations of nonlinear dynamics of energetically open systems at all scales ranging from the quantum structures to astrophysical objects. Depending on the system parameters and an adequate scaling, these phenomena are successfully described by the equations of Korteweg de Vries, Gross–Pitaevskiy, Kadomtsev–Petviashvili, Ginzburg–Landau, and their modifications. In this paper, we shall discuss formation and dynamics of magnetic solitons observed in the solar atmosphere. In particular, we focus on the highly dynamic environment of sunspot areas vastly populated by magnetic solitons. We discuss the properties of these solitons based on their observed signatures, along with their role in dynamics of overlying corona. The results of quantitative analysis of observational data based on the MHD theory of solitary structures are presented.

[1]  R. Shine,et al.  Moving Magnetic Features around Sunspots , 2005 .

[2]  M. Ryutova,et al.  Magnetic Solitons: Unified Mechanism for Moving Magnetic Features , 2007 .

[3]  J. Sakai,et al.  A Possible Mechanism for the Origin of Emerging Flux in the Sunspot Moat , 1998 .

[4]  E. Abrahams,et al.  Time variation of the Ginzburg--Landau order parameter , 1966 .

[5]  R. Kurucz,et al.  A new sunspot umbral model and its variation with the solar cycle , 1986 .

[6]  P. R. Wilson.  The generation of magnetic fields in photospheric layers , 1986 .

[7]  A. Title,et al.  Anticorrelation between Moving Magnetic Features and Coronal Loop Formation , 2007 .

[8]  T. Tarbell,et al.  Heating and Jet Formation by Hydrodynamic Cumulation in the Solar Atmosphere , 1999 .

[9]  N. Sheeley.  Observations of small-scale solar magnetic fields , 1967 .

[10]  J. Sakai,et al.  Nonlinear Alfven Waves Associated with Filament Currents in Weakly Ionized Plasmas , 1996 .

[11]  K. L. Harvey,et al.  Observations of moving magnetic features near sunspots , 1973 .

[12]  N. Brickhouse,et al.  Mass and energy flow near sunspots. I - Observations of moat properties , 1988 .

[13]  E. Priest,et al.  The propagation of sound waves in a randomly magnetized medium. I: General considerations , 1993 .

[14]  R. Shine,et al.  Interaction and Dynamics of the Photospheric Network Magnetic Elements , 2003 .

[15]  P. Sturrock.  In What Sense Do Slow Waves Carry Negative Energy , 1960 .

[16]  T. Tarbell,et al.  MHD shocks and the origin of the solar transition region. , 2003, Physical review letters.

[17]  R. Shine,et al.  White Light Sunspot Observations from the Solar Optical Universal Polarimeter on Spacelab-2 , 1987, Science.