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On Kinematic Generation of the Magnetic Modes of Bloch Type

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Kinematic generation of electrically conductive fluid by space-periodic flow is considered. The generated magnetic modes have a form of a product of three-dimensional field having the same spatial periodicity and a Fourier harmonic whose wave vector q is an arbitrary constant. We present the examples of computation of the modes associated with the maximum (over q) growth rates for a generic flow velocity where the magnetic α-effect is present and for a parity-invariant flow lacking the α-effect and featuring negative magnetic eddy diffusivity. It is shown that magnetic modes associated with the maximum over q growth rates are characterized by weak separation of spatial scales, and, therefore, neither of the two noted effects can be regarded as the main mechanism responsible for their generation.

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ACKNOWLEDGMENTS

V. Zheligovsky is grateful to CMUP for their hospitality during his visit to Porto in January to April 2019. The authors are grateful to the reviewers for their valuable comments.

Funding

The work was partly carried out at the University of Porto with the support from CMUP (Centro de Matemática da Universidade do Porto, UID/MAT/00144/2019) and SYSTEC (Centro de Investigação em Sistemas e Tecnologias, POCI-01-0145-FEDER-006933/SYSTEC) funded by the FCT (Fundação para a Ciência ea Tecnologia, Portugal) together with the National (MCTES) and European Foundations under the FEDER program (Fundo Europeu de Desenvolvimento Regional/European Regional Development Fund) COMPETE 2020 (the PT2020 partnership agreement) as well as under the STRIDE projects (NORTE-01-0145-FEDER-000033) funded by FEDER (NORTE 2020) and MAGIC (POCI-01-0145-FEDER-032485) funded by FEDER through COMPETE 2020–POCI.

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Authors and Affiliations

  1. Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, 117997, Moscow, Russia

    V. A. Zheligovsky

  2. SYSTEC—Research Center for Systems and Technologies, Faculty of Engineering, University of Porto, 4200-465, Porto, Portugal

    R. A. Chertovskih

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  1. V. A. Zheligovsky
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Correspondence to V. A. Zheligovsky or R. A. Chertovskih.

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Translated by M. Nazarenko

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Zheligovsky, V.A., Chertovskih, R.A. On Kinematic Generation of the Magnetic Modes of Bloch Type. Izv., Phys. Solid Earth 56, 103–116 (2020). https://doi.org/10.1134/S1069351320010152

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