Reversal in the nonlocal large-scale αΩ-dynamo

Abstract

Abstract. Inversion of the magnetic field in a large-scale model of αΩ-dynamo with nonlocal α-effect is under the investigation. The model allows us to reproduce the main features of the geomagnetic field reversals. It was established that the polarity intervals in the model are distributed according to the power law. Model magnetic polarity time scale is fractal. Its dimension is consistent with the dimension of the real geomagnetic polarity time scale.

Universal dynamo paradigm for solar activity, Higgs fields and disasters

“…The slow amplitudes of such magnetic-temperature oscillations will obey the Lorentz-like dynamical system if we exclude fast changes by averaging over high frequency oscillations. Another way to obtian the equations for a low-mode dynamo is the Galerkin's method [26][27][28][29]. But this method has a harmonic number selection problem that cannot be solved without a general relaxation approach.…”

“…Only in this case, the kinematic approximation for dynamo problem may be used. This is not applicable for solar activity but may be used for planetary dynamo [26][27][28][29].…”

“…The idea of a relaxation generator in one form or another was used to create the theory of a magnetic dynamo [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] and see additionally the reviews [23][24][25], but there is no convection in the early models. The low-mode models with convection have a particular place in this theory [26][27][28][29], but only the representation of the dynamo in the form of the multidimensional Lienard oscillator [1] defines correctly the symmetry of the system and opens up new ways in the development of nonlinear physics thanks to the universality and productivity of the new dynamo paradigm and the specificity of relaxation oscillations.…”