Effect of alpha quenching on magnetic field size.
It is commonly assumed that the alpha effect of mean-field magnetohydrodynamics essentially stops acting wherever the mean-field size reaches a certain value. We show that if the mean velocity is approximately constant, the regions where the field reaches such a threshold tend to shrink in size or the field tends to become constant there. The rate of this process is also estimated.
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Departamento de Análisis Matemático, Universidad de Valladolid, 47005 Valladolid, Spain.