Ohmic dissipation of sunspots

Details Ohmic dissipation of sunspots Ohmic dissipation of sunspots

Feb 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976azh....53..140s&link_type=abstract

Astronomicheskii Zhurnal, vol. 53, no. 1, 1976, p. 140-147. In Russian.

Physics

Ohmic Dissipation, Solar Magnetic Field, Solar Physics, Sunspots, Boundary Layers, Differential Equations, Field Strength, Photosphere, Umbras

Scientific paper

It is shown that ohmic dissipation plays an important part in the process of sunspot decay, and it is proposed that ohmic diffusion of a spot's magnetic field takes place in a thin boundary layer between the spot's magnetic flux tube and the photosphere. The analysis is conducted by assuming, in accordance with the equilibrium condition, that the umbral magnetic-field intensity remains constant during the diffusion process; diffusion of the magnetic field by convection in the vicinity of the spot after passage through the boundary layer is also taken into account. A critical umbral size is determined such that the dissipation rate for large sunspots is limited by the convective diffusion of the field. For these spots, the proposed theory yields a linear relation for the decrease in umbral area with time, which is in agreement with observations.

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