Dynamo theory: Can amplification of magnetic-field profiles arise from a cross-field alpha effect

Amplification of magnetic field profiles through cross field alpha effects was investigated. Cylindrical geometry for an essentially arbitrary radial dependence of the alpha effect provides the answer, except that it is subject to a simple, physically required constraint. The interest in this type of alpha effect derives from its connection with compressible turbulence, which is usually not considered in kinematic dynamo theory.