The Q-value and resistance of the heliospheric resonator model for the 22-year solar cycle

Physics

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Electrical Resistance, Equivalent Circuits, Heliosphere, Plasma Resonance, Q Values, Solar Cycles, Capacitance, Coronal Loops, Rlc Circuits, Solar Corona, Solar Wind

Scientific paper

The hypothesis of Gurnett and D'Angelo (1982), that the 22-year solar cycle is the result of a large-scale oscillation of the heliosphere, is investigated. The Q-factor of the proposed resonant system is shown to be 22, implying an energy loss per cycle of 29 percent and a simple-LCR-circuit resistance of between 0.0003 and 0.006 ohm for different sets of model parameters. These values are contrasted to those derived from the Spitzer resistivity, on the order of 10 to the -19th ohm. The discrepancy is partially reduced (to one or two orders of magnitude) by including the effects of the solar corona. The circuit capacitance is modeled in two ways, as a parallel-plate capacitor at the boundary of an heliosphere with a 300-AU-long tail, and as a set of parallel-plate capacitors in series from pole to equator at the boundary transition region of a spherical heliosphere. It is suggested that whistler-mode waves could carry information from the heliospheric boundary to the sun (against the supersonic, super-Alfvenic solar wind), as required by the resonance hypothesis.

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