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Discrete model of a dynamo with diffusion.
Aleksei D. Poezd1, Roza Galeeva, Dmitrii D. Sokolov
1Moscow State University, Moscow, 119899, USSRInstitute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation, USSR Academy of Sciences, Troitsk, 142092, USSR.
Chaos (Woodbury, N.Y.)
|April 1, 1992
Summary
This study models magnetic field generation in turbulent, highly conducting fluids. The model reveals that magnetic fields grow intermittently in time and space due to statistically independent cell generation and magnetic diffusion coupling.
Area of Science:
- Astrophysics
- Plasma Physics
- Geophysics
Background:
- Turbulent fluid motions are crucial for generating cosmic magnetic fields.
- Understanding magnetic field generation mechanisms is key in astrophysics and geophysics.
- Previous models often simplified the complex interplay of turbulence and magnetic fields.
Purpose of the Study:
- To develop a novel model for magnetic field generation in highly conducting fluids.
- To investigate the statistical properties and spatial distribution of generated magnetic fields.
- To analyze the impact of cell independence and magnetic diffusion on field dynamics.
Main Methods:
- Construction of a mathematical model for magnetic field generation.
- Statistical analysis of field generation within individual, independent spatial cells.
- Incorporation of magnetic diffusion as a coupling mechanism between cells.
- Calculation of the growth rates for the magnetic field and its moments.
Main Results:
- The model demonstrates statistically independent magnetic field generation within spatial cells.
- Magnetic diffusion acts as a coupling mechanism, influencing field evolution.
- Calculated growth rates indicate a dynamic field development.
- The generated magnetic field exhibits intermittent characteristics in both temporal and spatial domains.
Conclusions:
- The proposed model provides a framework for understanding intermittent magnetic field generation.
- Turbulence and magnetic diffusion play critical roles in shaping magnetic field distributions.
- The findings have implications for astrophysical and geophysical phenomena involving magnetic fields.