On the nature of chaotic regions in dissipative hydrodynamics and magnetohydrodynamics
| Autor: | V. S. Titov, D. P. Lonie, Eric Priest |
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| Rok vydání: | 1999 |
| Předmět: | |
| Zdroj: | Physics of Plasmas. 6:1374-1377 |
| ISSN: | 1089-7674 1070-664X |
| Popis: | A region with chaotic magnetic field lines where the magnetic field (B) and plasma velocity (v) are continuous and differentiable and satisfy the dissipative incompressible magnetohydrodynamic equations with magnetic diffusivity η and kinematic viscosity ν is considered. It is proved then that if v×B and (∇×v)×v are potential, the structurally stable solutions describing such chaotic regions are characterized by a decaying linear magnetic force-free field and Beltrami flow of the form B=B0 exp(−α2ηt)b, v=v0 exp(−α2νt)b, where b=b(r) such that ∇×b=αb, ∇⋅b=0 and B0, v0, and α are constants. Purely hydrodynamic flows are a particular case with B0=0. A simple example of a chaotic force-free field is also constructed. |
| Databáze: | OpenAIRE |
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