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Spheromak as a relaxed state with minimum dissipation
B Dasgupta1, M S Janaki, R Bhattacharyya
1Saha Institute of Nuclear Physics, I/AF, Bidhannagar, Calcutta 700 064, India.
Summary
Researchers used the principle of minimum energy dissipation to achieve a spheromak configuration. This analysis revealed a non-force-free relaxed state with a variable magnetic field and current ratio.
Area of Science:
- Plasma Physics
- Magnetohydrodynamics
- Computational Physics
Background:
- Spheromak configurations are crucial in plasma physics for magnetic confinement fusion.
- Understanding relaxed states is key to controlling plasma behavior and stability.
Purpose of the Study:
- To derive the spheromak configuration using the principle of minimum energy dissipation.
- To analyze the properties of this minimum dissipative relaxed state.
Main Methods:
- Applied the principle of minimum energy dissipation.
- Solved the Euler-Lagrange equation for the relaxed state.
- Utilized analytically generalized Chandrasekhar-Kendall eigenfunctions in the complex domain.
Main Results:
- Obtained the spheromak configuration as a minimum dissipative relaxed state.
- The derived state is non-force-free.
- Demonstrated nonconstancy of the ratio of parallel current to the magnetic field.
Conclusions:
- The principle of minimum energy dissipation provides a valid method for obtaining spheromak configurations.
- The resulting relaxed state exhibits complex magnetic field and current properties.
- This research contributes to a deeper understanding of non-force-free plasma states.