Self-organization process in three-dimensional compressible magnetohydrodynamics
A three-dimensional self-organization process in a compressible dissipative plasma is investigated in detail by means of a variational method and a magnetohydrodynamic (MHD) simulation. In the closed system where the total energy and total mass are conserved, the compressible MHD plasma relaxes to a maximum entropy state under the constraint that the total magnetic helicity is constant. This state is equivalent to a force-free equilibrium in which the pressure distribution is uniform. Magnetic reconnection converts the magnetic energy into the thermal energy in the vicinity of the reconnection points where the selective dissipation of magnetic energy effectively takes place owing to the generation of magnetic bubbles (R. Horiuchi and T. Sato, Phys. Fluids 29, 1161 (1986)). The enchanced thermal energy is carried away all over the system by the fast MHD waves. The swift expansion of the thermal energy leads to a uniform distribution of the pressure profile in the transit time scale of the fast MHD wave. Numerical simulation shows that the system tends to self-organize to a force-free state where the physical quantities are almost exactly the same as those of the zero pressure case. It is also observed that the magnetic energy spectrum cascades toward the high wavenumber region while the helicity spectrum inversely cascades toward the low wavenumber region.
- Research Organization:
- Institute for Fusion Theory, Hiroshima University, Hiroshima 730, Japan
- OSTI ID:
- 7242537
- Journal Information:
- Phys. Fluids; (United States), Vol. 29:12
- Country of Publication:
- United States
- Language:
- English
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