Self-similar evolution of the nonlinear magnetic buoyancy instability

Details Self-similar evolution of the nonlinear magnetic buoyancy instability Self-similar evolution of the nonlinear magnetic buoyancy instability

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phflb...2.1989s&link_type=abstract

Physics of Fluids B (ISSN 0899-8221), vol. 2, Sept. 1990, p. 1989-2000. Research supported by NSF, NASA, and DOE.

Physics

19

Cold Plasmas, Magnetohydrodynamic Stability, Nonlinear Evolution Equations, Taylor Instability, Buoyancy, Lagrange Coordinates, Magnetic Fields, Magnetic Flux, Solar Atmosphere

Scientific paper

A new type of self-similar solution of ideal magnetohydrodynamics (MHD) in the nonlinear stage of the undular model (k parallel to B) of the magnetic buoyancy instability (the ballooning instability in fusion plasma physics or the Parker instability in astrophysics) is found through MHD simulation and theory. The linear theory developed agrees well with the simulation in the early (linear) stage. The nonlinear stages of the instability in the simulation show the self-similar evolution. One of the solutions obtained from the nonlinear analysis has the characteristics of nonlinear instability in Lagrangian coordinates; the fluid velocity and the Alfven speed on each magnetic loop increase exponentially with time, because the loop is evacuated by the field-aligned motion of matter resulting from gravitational acceleration. In the later stage of the nonlinear evolution, the solution property changes from exponential to power-law time dependence. The latter corresponds to a force-free expansion solution. The later saturation of the velocity increment is also discussed.

Affiliated with

Also associated with

No associations

Rating

Self-similar evolution of the nonlinear magnetic buoyancy instability does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-similar evolution of the nonlinear magnetic buoyancy instability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-similar evolution of the nonlinear magnetic buoyancy instability will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1406625