The disk dynamo |
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Authors: | A A Ruzmaikin D D Sokoloff V I Turchaninoff Ya B Zelidovich |
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Institution: | (1) Keldysh Institute of Applied Mathematies, Academy of Science, Moscow, U.S.S.R.;(2) Moscow State University, Moscow, U.S.S.R. |
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Abstract: | The simplest ![agr](/content/g666w2357161n45r/xxlarge945.gif) dynamo in a thin disk is analysed. It the antisymmetric helicity function (z) (wherez is a coordinate perpendicular to the disk plane) is smooth and limited, then the conditions for generating a magnetic field and the symmetry of the resulting solutions depend only on the form of at the segment (0,h) — whereh is the half-thickness of the disk — and the value of the dimensionless dynamo numberD. When (z) does not change its sign at this segment andD>D
c
(the critical dynamo number), the excitation of non-oscillating even (quadrupole) and oscillating odd (dipole) fields are possible. When (z) changes its sign at the segment indicated, non-oscillating odd magnetic fields can also be excited.The old exact solutions of the disk ![agr](/content/g666w2357161n45r/xxlarge945.gif) dynamo are studied and new ones are found. The results can be of importance when applied to the problem of the generation of a magnetic field in galactic and turbulent disks appearing around some X-ray sources. |
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