Magneto-convection in sunspot penumbrae |
| |
| Authors: | S G Tagare P Murali |
| |
| Institution: | 1. Inter-University Centre for Astronomy and Astrophysics, 411 007, Ganeshkind Pune, India
2. School of Mathematics, University of Hyderabad, 500 134, Hyderabad, India
|
| |
| Abstract: | Finite amplitude convection in the presence of a horizontal magnetic field has been investigated in a region where thermal diffusivity (κ) is less than magnetic diffusivity (η) and whenκ/η > 1,Q ≤Q c, where $$Q_c = \frac{{(1 + \sigma _1 )(\pi ^2 + q_c^2 )^2 }}{{q_c^2 (\sigma _2 - \sigma _1 )}}$$ ,Q is the Chandrasekhar number,σ 1 the Prandtl number,σ 2 the magnetic Prandtl number, andq c the critical wave number at the onset of stationary convection. We have derived a nonlinear time-dependent Landau—Ginzburg equation near the onset of supercritical stationary convection and a nonlinear, second-order equation at the Takens—Bogdanov bifurcation. We have obtained steady-state solutions of these equations, which describe the nonlinear behaviour near the onset of stationary convection. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
