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Mean Field Magnetohydrodynamic Dynamo in Partially Ionized Plasma: Nonlinear, Numerical Results

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Advances in Mathematical Methods and High Performance Computing

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 41))

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Abstract

A magnetohydrodynamic dynamo operating in partially ionized surface and atmospheric layers of stars can produce variety of magnetic field structures. In partially ionized plasma such as in the solar photosphere and the solar chromosphere, the magnetic induction equation is subjected to the Hall drift and the ambipolar diffusion (arising due to ion-neutral collisions) along with the Ohmic dissipation. It has been found out that in the presence of a shear flow, the Hall and the ambipolar diffusion, magnetic field components can grow rapidly to form the horizontal structures with small spatial scales. The effects of nonlinear dynamo, along with a shearing flow, Hall drift, ambipolar diffusion and the density gradient can play an important role in the evolution of magnetic field in the partially ionized surface layers of cool stars.

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Acknowledgements

The author gratefully acknowledges Joint ICTP-IAEA College on Advance Plasma Physics, 2014 and the financial support from International Centre for Theoretical Physics (ICTP), Trieste, Italy for providing an important platform for useful discussions on MHD Dynamo with Prof. Swadesh Mahajan. The author would also like to thank S.M. Chitre, Vinod Krishan and R.T. Gangadhara for useful discussions and support.

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Authors and Affiliations

  1. Department of Physics, Institute of Science, Banaras Hindu University, Varanasi, India

    K. A. P. Singh

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  1. K. A. P. Singh
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Editors and Affiliations

  1. Department of Applied Science and Humanities, Inderprastha Engineering College, Ghaziabad, Uttar Pradesh, India

    Vinai K. Singh

  2. School of Science and Technology, Federation University Australia, Mt. Helen, VIC, Australia

    David Gao

  3. Institute of Numerical Mathematics, Technische Universität Dresden, Dresden, Germany

    Andreas Fischer

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Singh, K.A.P. (2019). Mean Field Magnetohydrodynamic Dynamo in Partially Ionized Plasma: Nonlinear, Numerical Results. In: Singh, V., Gao, D., Fischer, A. (eds) Advances in Mathematical Methods and High Performance Computing. Advances in Mechanics and Mathematics, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-030-02487-1_22

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