Ampere and Hall nonlinearities in the magnetic dynamo in the Arnol`d--Beltrami--Childress (ABC) flow
- Department of Aerospace Engineering, Israel Institute of Technology, Technion City, 32000 Haifa (Israel)
- Department of Mechanical Engineering, The Ben-Gurion University of the Negev, 84105 Beer-Sheva (Israel)
- Racah Institute of Physics, The Hebrew University of Jerusalem, 91904 Jerusalem (Israel)
The effect of different nonlinearities (Ampere force and Hall effect) on the saturation of a magnetic field generated by flows of conducting fluid is studied by means of numerical simulations. A three-fluid (i.e., ions, electrons, and neutral particles) model is considered. The velocity field of the neutral particles is a prescribed, deterministic, incompressible three-dimensional field in the form of the Arnol`d--Beltrami--Childress (ABC) flow. The dynamics of the charged components of fluid is determined by two-fluid magnetohydrodynamics when ion--neutral particle collisions are taken into account. Four typical regimes of the nonlinear evolution of the magnetic field, corresponding to different types of nonlinearities (Ampere force or Hall effect) and different types of collisions (ion--ion collisions or ion--neutral particle collisions) are found. The transitions between these regimes, the structure of the saturated magnetic field, and the evolution of the magnetic field in these regimes are studied. Scaling estimates of the level of the saturated magnetic field and conditions obtained for the different regimes of the magnetic field evolution are in agreement with the results of the numerical simulations. {copyright} {ital 1995} {ital American} {ital Institute} {ital of} {ital Physics}.
- OSTI ID:
- 165786
- Journal Information:
- Physics of Plasmas, Vol. 2, Issue 11; Other Information: PBD: Nov 1995
- Country of Publication:
- United States
- Language:
- English
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