The Dynamic Evolution of Twisted Magnetic Flux Tubes in a Three‐dimensional Convecting Flow. II. Turbulent Pumping and the Cohesion of Ω‐Loops

2004 ◽  
Vol 612 (1) ◽  
pp. 557-575 ◽  
Author(s):  
W. P. Abbett ◽  
G. H. Fisher ◽  
Y. Fan ◽  
D. J. Bercik
Keyword(s):  
Magnetic Flux ◽  
Three Dimensional ◽  
Dynamic Evolution ◽  
Flux Tubes ◽  
Magnetic Flux Tubes

scholarly journals Three‐dimensional Reconnection of Untwisted Magnetic Flux Tubes

2003 ◽  
Vol 595 (2) ◽  
pp. 1259-1276 ◽  
Author(s):  
M. G. Linton ◽  
E. R. Priest
Keyword(s):  
Magnetic Flux ◽  
Three Dimensional ◽  
Flux Tubes ◽  
Magnetic Flux Tubes

scholarly journals Multi-scale dynamics of magnetic flux tubes and inverse magnetic energy transfer

2020 ◽  
Vol 86 (4) ◽  
Author(s):  
Muni Zhou ◽  
Nuno F. Loureiro ◽  
Dmitri A. Uzdensky
Keyword(s):  
Magnetic Flux ◽  
Time Evolution ◽  
Magnetic Energy ◽  
Numerical Study ◽  
Three Dimensional ◽  
Early Time ◽  
Small Scale ◽  
Flux Tubes ◽  
Seed Field ◽  
Magnetic Flux Tubes

We report on an analytical and numerical study of the dynamics of a three-dimensional array of identical magnetic flux tubes in the reduced-magnetohydrodynamic description of the plasma. We propose that the long-time evolution of this system is dictated by flux-tube mergers, and that such mergers are dynamically constrained by the conservation of the pertinent (ideal) invariants, viz. the magnetic potential and axial fluxes of each tube. We also propose that in the direction perpendicular to the merging plane, flux tubes evolve in a critically balanced fashion. These notions allow us to construct an analytical model for how quantities such as the magnetic energy and the energy-containing scale evolve as functions of time. Of particular importance is the conclusion that, like its two-dimensional counterpart, this system exhibits an inverse transfer of magnetic energy that terminates only at the system scale. We perform direct numerical simulations that confirm these predictions and reveal other interesting aspects of the evolution of the system. We find, for example, that the early time evolution is characterized by a sharp decay of the initial magnetic energy, which we attribute to the ubiquitous formation of current sheets. We also show that a quantitatively similar inverse transfer of magnetic energy is observed when the initial condition is a random, small-scale magnetic seed field.

Three‐dimensional Magnetohydrodynamic Simulationsof the Interaction of Magnetic Flux Tubes

1999 ◽  
Vol 519 (2) ◽  
pp. 884-898 ◽  
Author(s):  
D. Kondrashov ◽  
J. Feynman ◽  
P. C. Liewer ◽  
A. Ruzmaikin
Keyword(s):  
Magnetic Flux ◽  
Three Dimensional ◽  
Flux Tubes ◽  
Magnetic Flux Tubes

scholarly journals NONLINEAR THREE-DIMENSIONAL MAGNETOCONVECTION AROUND MAGNETIC FLUX TUBES

2011 ◽  
Vol 731 (2) ◽  
pp. 108 ◽  
Author(s):  
G. J. J. Botha ◽  
A. M. Rucklidge ◽  
N. E. Hurlburt
Keyword(s):  
Magnetic Flux ◽  
Three Dimensional ◽  
Flux Tubes ◽  
Magnetic Flux Tubes
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